BCS Bank and Teachers | chapter Practice

আপনার কাছে যদি মনে হয় প্রশ্নটি অধ্যায় অনুযায়ী সঠিক নয় তাহলে সঠিক অধ্যায় ও প্রশ্নটি অথবা কোন প্রকার ভুল থাকলে আমাদের কে জানান ইমেইল করে kabirdepart@gmail.com

Unitary Method

Correct :

Wrong :

1. If Lalon loses 8 pounds, he will weigh twice as much as his sister. Together they now weigh 278 pounds. What is Lalon’s present weigh in pounds?
a) 135
b) 139
c) 147
d) 188
Consider ,
Sister weight Now as x
Lalon’s weight (2 times +8) = 2x+8

Here,

(2x+8)+(x) =278

x=90

Lalon’s weight is = (2 X 90 +8) =188

2. If 10 ships requires 10 tanks of oil in 10 days. How long is 1 tank of oil enough for a ship?
a) 4 days
b) 5 days
c) 10 days
d) 12 days
e) 13.5 days
1 tank of oil enough for a ship 10 days

3. A car washer machine can wash 8 cars in 18 minute ,how many car she can wash within 3 hours at same rate?
a) 54
b) 72
c) 80
d) 87
e) 96
Car can be washed = (8/18) ×180 =80

4. A mixture of 72 kg contains 17 parts of A, 3 parts of B,4 parts of C. Find the quantity of B?
a) 9 kg
b) 10 kg
c) 12 kg
d) 14 kg
e) 15 kg
Sum of their portions=17+3+4=24

So, B’s Parts=72(3/24)=9 kg

5. Half of the pillar is under the earth one third of it is under the water, and 12 feet is above the water, what is the length?
a) 72 feet
b) 80 feet
c) 60 feet
d) 84 feet
e) 70 feet
Let, Total length =x

So,

Under the earth= x/2

Under the water=x/3

and, Above the water= 12

So,

x/2+x/3+12 =x

or, x/2+x/3-×=-12

or,-x=-72

or, x=72

6. A ferry can carry 24 buses or 36 cars at a time. If there are 18 buses on the ferry,how many cars can be loaded onto it?
a) 6
b) 8
c) 9
d) 12
e) none

7. Bony takes 2 hours to wash 500 dishes, and Farah takes 3 hours to wash 450 dishes. How long will they take working together to wash 1000 dishes?
a) 1 hour
b) 2 hours
c) 2.5 hours
d) 3 hours
e) None

8. A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the action of the work that is left is
a) 1/41/8
b) 1/5
c) 8/15
d) None

9. If one-third of one-fourth of a number is 15, then three-tenth of that number is
a) 25
b) 35
c) 36
d) 54
e) None

10. Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. What is the ratio of A and B?
a) 1:1
b) 1:2
c) 2:5
d) 4:3
e) none

11. A water filter can be filled with 8 jugs of capacity containing 1.3 liters each. How many Jugs are required to fill the same filter, If capacity of the jug is 0.8 liters?
a) 15
b) 13
c) 8
d) 12
e) None

12. A man can do a job in 15 days. His father takes 20 days and his son finishes it in 25 days. How long will they take to complete the job if they all work together?
a) Less than 6 days
b) Exactly 6 days
c) More than 10 days
d) Approximately 6.4 days

13. Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If a is open all the time and B and C are open for one hour each alternately, the tank will be full in:
a) 6.0 hrs
b) 6.5 hrs
c) 7.5 hrs
d) None
(A + B)'s 1 hour's work = (1/12 + 1/15)

= 9/60 = 3/20.

(A + C)'s hour's work =(1/12 + 1/20)

= 8/60 = 2/15.

Part filled in 2 hrs = (3/20 + 2/15) = 17/60.

Part filled in 6 hrs = (3 x 17/60) = 17/20.

Remaining part =(1 – 17/20) = 3/20.

Now, it is the turn of A and B and 3/20 part is filled by A and B in 1 hour.

Therefore, Total time taken to fill the tank = (6 + 1) hrs = 7 hrs.

14. 30 labourers, working 7 hours a day can finish a piece of work in 18 days. If the labourers work 6 hours a day, then the number of labourers to finish the same piece of work in 30 days, will be:
a) 15
b) 22
c) 21
d) 25

15. Descriptive: Part — I (Mathematics) Read the following information and then answer the questions 61 through 64 on the next page. The space below is for your working i.e. the calculations for the solutions to the questions. After you work out, circle the right answer out of the five alternatives for each of these questions. Information: 10 persons work 8 hours a day and complete a job in 3 days. (Q-4) In how many days can 8 persons do the job if each of them work 6 hours a day?
a) 5
b) 4
c) 6
d) 3
e) 8

16. Descriptive: Part — I (Mathematics) Read the following information and then answer the questions 61 through 64 on the next page. The space below is for your working i.e. the calculations for the solutions to the questions. After you work out, circle the right answer out of the five alternatives for each of these questions. Information: 10 persons work 8 hours a day and complete a job in 3 days. (Q-3) In how many days can 1 (one) person do the job if he works 8 hours a day?
a) 20
b) 25
c) 28
d) 30
e) 35

17. Descriptive: Part — I (Mathematics) Read the following information and then answer the questions 61 through 64 on the next page. The space below is for your working i.e. the calculations for the solutions to the questions. After you work out, circle the right answer out of the five alternatives for each of these questions. Information: 10 persons work 8 hours a day and complete a job in 3 days. (Q-2) How many persons can do the job in 2 days, if each of them work 6 hours a day, instead of 8 hours a day?
a) 12
b) 16
c) 20
d) 24
e) 30

18. Descriptive: Part — I (Mathematics) Read the following information and then answer the questions 61 through 64 on the next page. The space below is for your working i.e. the calculations for the solutions to the questions. After you work out, circle the right answer out of the five alternatives for each of these questions. Information: 10 persons work 8 hours a day and complete a job in 3 days. (Q-1) How many persons can do the job in 2 days?
a) 12
b) 14
c) 16
d) 11
e) 15

19. Pipe A can fill up a tank in 40 minutes and pipe B can fill up the same tank in 30 minutes, how many minutes will it take for the two pipes together to fill up the tank?
a) 10
b) 15
c) 17(1/7)
d) 18(4/7)
e) 24

20. One half of a pole is deep into the soil under water, one-third of it is above the soil under water and 2 meters of it is above the water level. What is the total length of the pole (in meters)?
a) 8
b) 10
c) 12
d) 14
e) 16

21. Some persons can do a piece of work in 12 days. Two times the number of such persons will do half of that work in:
a) 6 days
b) 4 days
c) 3 days
d) 12 days

22. A worker can do a job in 4 hours and another worker can do it in 2 hours. How many such works can they do together in 4 hours?
a) 1
b) 3
c) 5
d) 86
e) 8

23. In still water a boy rows 5 miles an hour. Wait the aid of current he can make a 21 miles trip in 3 hours. How fast is the current?
a) 2 miles
b) 4 miles
c) 6 miles
d) 3 miles
e) 5 miles

24. সাড়ে চার হালি ডিমের দাম ১০৮ টাকা হলে ১১ টি ডিমের দাম কত?
a) ৬০
b) ৬৬
c) ৬২.৫০
d) ৩৮

25. যদি ৬ জন বালক ৬ মিনিটে ৬ পৃষ্ঠা লিখতে পারে, তবে একজন বালকের এক পৃষ্ঠা লিখতে কত সময় লাগবে?
a) ৬ মিনিট
b) ৩ মিনিট
c) ২ মিনিট
d) ১ মিনিট

26. A company hired a plumber and 8 workers to do a certain job. The daily wages for the plumber is times more than that of a worker. If the company paid a total of Tk. X for the work, what was the payment received by the plumber?
a) x/3
b) x/4
c) 4x/11
d) 2x/13
e) none of these

27. Ehsan can mow the lawn in 30 mintues, and together with his brother Asif, they can mow the lawn in 20 mintues. How long would it take for Asif working alone to mow the lawn?
a) ½ hour
b) 3/4 hour
c) 1 hour
d) 3/2 hours
e) none of these

28. ক একটি কাজ ১০ দিনে করতে পারে এবং খ ঐ কাজটি ১৫ দিনে করতে পারে। ক ও খ একত্রে ৫ দিন কাজ করার পর খ চলে গেল । বাকী কাজ ক একা কত দিনে করতে পারবে?
a) ২ দিনে
b) ১(২/৩) দিনে
c) ১(১/৩) দিনে
d) ১ দিনে

29. কোন স্কুলে ৫৩ জন ছাত্রের মধ্যে ৩৬ জন গান পছন্দ করে; ১৮ জন কবিতা পছন্দ করে। ১০ জন কোনটিই পছন্দ করে না। কত জন দুটোই পছন্দ করে?
a) ১৪ জন
b) ১৩ জন
c) ১১ জন
d) ১০ জন

30. লঞ্চ ও স্রোতের গতিবেগ যথাক্রমে ঘন্টায় ১৮ কিঃমিঃ ও ৬ কিঃমিঃ। নদী পথে ৪৮ কিঃমিঃ অতিক্রম করে পুনারায় ফিরে আসতে সময় লাগবে-
a) ১০ ঘন্টা
b) ৫ ঘন্টা
c) ৬ ঘন্টা
d) ৮ ঘন্টা

31. কয়েকজন শ্রমিক একটি কাজ ১৮ দিনে করে দিবে বলে ঠিক করে। কিন্তু তাদের মধ্যে ৯ জন অনুপস্থিত থাকায় কাজটি । ৩৬ দিনে সম্পন্ন হয় । ৩৬ জন শ্রমিক নিযুক্ত হলে কত দিনে কাজটি সম্পন্ন হতো?
a) ১৮ দিন
b) ১২ দিন
c) ১০ দিন
d) ৯ দিন

32. It takes 10 days for 4 boys to complete a piece of work. The same work can be completed by 7 girls in 10 days. If 3 boys and 5 girls work together, approximately how many days will they need to complete the work?
a) 10
b) 15
c) 7
d) none of these

33. 12 men working 8 hours per day complete a piece of work in 10 days. To complete the same work in 8 days, working 15 hours a day, the number of men required, is
a) 4
b) 8
c) 5
d) 6

34. How many days are there in x weeks x days?
a) 7x^2
b) 8x
c) 14x
d) 7

35. Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the pipes are opened together, then the tank will be filled in:
a) 1(13/17)
b) 2(8/11)
c) 3(9/17)
d) 4(1/2)

36. A takes twice as much time as B or three as much time as C to finish a piece of work. Working together they can finish the work in 2 days. B can do the work alone in:
a) 4 days
b) 6 days
c) 8 days
d) 12 days

37. 3 pumps, working 8 hours a day can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?
a) 9
b) 10
c) 11
d) 12

38. A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?
a) 21 days
b) 11 days
c) 13 days
d) None of these

39. 15 men take 21 days of 8 hours each to do piece piece of work. How many days of 6 hours each would 21 women take, if 3 women do as much work as 2 men?
a) 30
b) 18
c) 20
d) 25

40. One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:
a) 192 min
b) 81 min
c) 108 min
d) 144 min

41. A group of 1200 persons consisting of captains and soldiers is travelling in a train. For every 15 soldiers there is one captain. The number of captains in the group is
a) 70
b) 75
c) 85
d) 80
Clearly, out of every 16 persons, there is one captain. So, number of captains (1200/16) = 75.

42. Mr. Rafim can complete a job in 15 days, while Mr. Shafin takes twice as long to do the same. If the work together how many days will they require to complete the job?
a) 10
b) 12
c) 14
d) 11
Mr. Rafim can do 1 days=1/15 parts

and Mr. Shafin can do 1 days=1/30 parts

(Mr. Rafim+ Mr. Shafin) can do 1 days=(1/15 +1/30) parts

“ “ “ “ = 1/10 parts

(Mr. Rafim+ Mr. Shafin),

1/10 parts can do = 1 day

So, 1 part “ “ = 10 days

43. A man rowed 3 miles upstream in 90 minutes. If the river flowed with a current 2 miles per hour, how long did the man’s return trip take?
a) 30 minutes
b) 60 minutes
c) 90 minutes
d) 120 minutes
e) None of these
A man rowed 3 miles upstream in 90 minutes
Let r represent the rowing r
D = rt OR r = D/t
(r-2) = 3/1.5 = 2
r-2 = 2
r = 4mi/hr
With the current, will travel 6mi/hr
{{{ 3mi/6(mi/hr) = .5hr}}} or 30min

44. Rakib can complete a task in 30 minutes and together with his brother Momin, he can complete the task in 20 minutes. How long would it take for Momin working alone to complete the task?
a) 30 minutes
b) 40 minutes
c) 50 minutes
d) 60 minutes
e) None of these
in 30 minutes, Rakib can complete 1 task

in 1 minute, Rakib can complete 1/30 task

Again,

in 20 minutes, Rakib and Monin can complete 1 task

in 1 minute, Rakib and Monin can complete 1/20 task

Now,

let, monin does x task in 1 minute.

Now,

1/30 + 1/x = 1/20

(x + 30)/30x = 1/20

30x = 20x + 600

30x - 20x = 600

10x = 600

x = 60

Thus,

momin working alone can complete the task in 60 minutes.

45. Arafat and Asif were each paid C taka in advance to do a certain job together. Arafat worked of the job for 10 hours and Asif worked 2 hours less than Arafat. If Asif gave Arafat Y taka of his payment so that they would have received the same hourly wage, what was the amount in taka, in terms of Y , that Arafat was paid in advance?
a) 5Y
b) 6Y
c) 8Y
d) 9Y
e) None of these

46. নৌকা ও স্রোতের বেগ যথাক্রমে ঘন্টায় ১৮ কি.মি. ও ৬ কি.মি। নদী পথে ৭২ কি.মি. অতিক্রম করে পুনরায় ফিরে আসতে কত সময় লাগবে?
a) ৮ ঘন্টা
b) ৯ ঘন্টা
c) ১০ ঘন্টা
d) ১২ ঘন্টা
e) কোনটিই নয়
দুইবার ৭২ কি.মি অতিক্রম করতে হবে।

একবার স্রোতের প্রতিকুলে একবার স্রোতের অনুকুলে ।

স্রোতের অনুকুলে,

মোট বেগ = ১৮ কি.মি. + ৬ কি.মি = ২৪ কি.মি./ঘন্টা

দূরত্ব = ৭২ কি.মি.

তাহলে, সময় = ৭২/২৪ = ৩ ঘণ্টা

আবার,

স্রোতের প্রতিকুলে,

মোট বেগ = ১৮ - ৬ = ১২ কি.মি./ঘণ্টা

দূরত্ব = ৭২ কি.মি.

সময় = ৭২/১২ = ৬ ঘণ্টা

সুতরাং মোট সম্য = ৩ + ৬ = ৯ ঘণ্টা

47. জাকির প্রথম ২ ঘন্টায় ৮০ মাইল/ঘন্টা বেগে ভ্রমন করল এবং পরবর্তী ৩ ঘন্টায় ১৪০ মাইল অতিক্রম করল। পুরো ভ্রমন পথে জাকির গড়ে কত কিলোমিটার বেগে ভ্রমন করল?
a) ৬০ কি.মি./ঘন্টা
b) ৩৯.৬ কি.মি./ঘন্টা
c) ৮০ কি.মি./ঘন্টা
d) ১০০ কি.মি./ঘন্টা
e) কোনটিই নয়
২ ঘণ্টায় ভ্রমন করল ৮০*২ = ১৬০ কি.মি.

পরের ৩ ঘণ্টায় ভ্রমন করল = ১৪০ কি.মি.

মোট দূরত্ব = ১৬০ + ১৪০ = ৩০০ কি.মি.

মোট সময়= ৫ ঘণ্টা

গড় বেগ = ৩০০/৫ = ৬০ কি.মি./ঘণ্টা

48. কালামের মাসিক আয় সাজেমের মাসিক আয় থেকে ৫০% বেশি এবং বদির মাসিক আয়ের ৫/৬ অংশ। সাজেমের মাসিক আয় ২০০০ টাকা হলে তাদের তিনজনের মোট মাসিক আয় কত?
a) ৮৬০০ টাকা
b) ৭০০০ টাকা
c) ৬৬০০ টাকা
d) ৯০০০ টাকা
e) কোনটিই নয়
2000 + 2000*3/2 + (2000*3/2)*6/5

= 2000 + 3000 + 3000*6/5

= 2000 + 3000 + 3600

= 8600

49. ১:২০০০ স্কেলে একটি শহরের ম্যাপ আঁকা আছে। ১.২ কিলোমিটার দীর্ঘ একটি রাস্তার দৈর্ঘ্য ম্যাপে কত হবে?
a) ২৪ সে মি
b) ৬০ সে মি
c) ৪০ মি
d) ৬০ মি
e) কোনটিই নয়
1.2/2000 = 0.0006 km = 0.0006 * 1000 m = 0.6 m = 0.6*100 cm = 60 cm

50. তিনটি প্যাকেজিং মেশিনের এক ব্যাচ ট্যাবলেট প্যাকেজ করতে যথাক্রমে ৪, ৫, ও ৬ ঘন্টা সময় লাগে। দুটি মেশিনসর্বোচ্চ ক্ষমতায় কাজ করে এক ঘন্টায় সর্বোচ্চ কতটুকু কাজ করতে পারবে?
a) ৯/২০ অংশ
b) ১১/৩০ অংশ
c) ৯/২২ অংশ
d) ৭/২০ অংশ
e) কোনটিই নয়
তিনটি মেশিনের মধ্যে দুইটি দ্রুততম মেশিন হল যে দুইটি ৪ এবং ৫ ঘণ্টায় পুরো কাজ করতে পারে।

সুতরাং, ১ ঘণ্টায় এই দুই মেশিন কাজ করতে পারবে = ১/৪ + ১/৫ = (৫+৪)/২০ = ৯/২০ অংশ

51. ১৬ জন লোক একটি কাজ ২৭ দিনে করতে পারে। ৪ জন লোক চলে গেলে কাজটি শেষ করতে শতকরা কত দিন বেশি লাগবে?
a) ২০%
b) ২৫%
c) ৩৩.৩%
d) ৫০%
e) কোনটিই নয়
১৬ জন করতে পারে ২৭ দিনে

১ জন করতে পারে ২৭*১৬ দিনে

১২ জন করতে পারে ২৭*১৬/১২ দিনে = ৩৬ দিনে

দিন বেশি লাগবে = ৩৬ - ২৭ = ৯ দিন

এখন,

প্রথমের, ২৭ দিনে বেশি লাগে ৯ দিন

১ দিনে বেশি লাগবে ৯/২৭ দিন

১০০ দিনে বেশি লাগবে ৯*১০০/২৭ দিন = ৩৩.৩৪%

52. ক একটি কাজ ৩০ দিনে, খ ১৫ দিনে এবং গ ১০ দিনে করতে পারে। প্রতি ২য় দিনে খ এবং প্রতি ৩য় দিনে গ, ক-কে সাহায্য করলে ঐ কাজটি কত দিনে শেষ হবে?
a) ১০
b) ১২
c) ১৪
d) ১৫
e) কোনটিই নয়
ক ১ দিনে করে ১/৩০ কাজ

খ এক দিনে করে ১/১৫ কাজ

গ এক দিনে কাজ করে ১/১০ কাজ

এখন,

১ম দিনে ক একা কাজ করে ১/৩০ কাজ

২য় দিনে ক এবং খ একত্রে কাজ করে ১/৩০ + ১/১৫ কাজ = ৩/৩০ = ১/১০ কাজ

৩য় দিনে ক এবং গ একত্রে কাজ করে ১/৩০ + ১/১০ কাজ ক = ৪/৩০ কাজ

প্রতি তিন দিনে মোট কাজ হয় = ১/৩০ + ১/১০ + ৪/৩০ = (১+৩+৪)/৩০ = ৮/৩০ কাজ

এখন,

৮/৩০ কাজ হবে ৩ দিনে

১ কাজ হবে ৩*৩০/৮ দিনে = ১১.২৫ দিনে = ১২ দিনে

53. একটি ব্যাংকের কর্মচারীদের ৭০% নারী এবং ৬০% বিবাহিত। পুরুষের ২/৩ অংশ যদি অবিবাহিত হন, নারীদের কতভাগ বিবাহিত?
a) ৫/৭
b) ৭/১০
c) ১/৩
d) ৫/৬
e) কোনোটিই নয়

54. A can finish a work in 18 days and B can do the same work in half the time taken by A. Then, working together, what part of the same work they can finish in a day?
a) 1/6
b) 1/9
c) 2/5
d) 2/7

55. In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered with the remaining meal?
a) 20
b) 30
c) 40
d) 50

56. Two pipes A and B can fill a tank in 6 hours and 4 hours respectively. If they are opened on alternate hours and if pipe A is opened first, in how many hours, the tank shall be full?
a) 4
b) 4.5
c) 5
d) 5.5

57. একটি শ্রেনীর প্রতি বেঞ্চে ৪ জন করে ছাত্র বসলে ৩ খানা বেঞ্চ খালি থাকে।কিন্ত প্রতি বেঞ্চে ৩ জন করে বসলে ৬ জন ছাত্রের দাঁড়িয়ে থাকতে হয়। ঐ শ্রেনীর ছাত্র সংখ্যা কত ?
a) ৫০
b) ৬০
c) ৭৫
d) ৮০
মনে করি বেঞ্চ সংখ্যা x

১ম শর্তনুযায়ী ছাত্রসংখ্যা =4(x-3)=4x-12

২য় শর্তনুযায়ী ছাত্রসংখ্যা =3x+6 ; সুতরাং, 4x-12=3x+6=x=18

তাহলে,3x+6=3*18+6=54+6=60

58. A does a work in 10 day and B does the same work in 15 days. In how many days they together will do the same work?
a) 5 days
b) 6 days
c) 8days
d) 9 days

59. How long does a train 110 meters long running at the speed of 72 km/h take to cross a bridge 132 meters in length?
a) 9.8 sec
b) 12.1 sec
c) 12.42 sec
d) 14.3 sec
Speed = 72 km/hour = 72*(5/18) m/sec
= 20 m/sec
Total distance to be covered = 110+132 = 142 meters
Time = Distance/Speed
60. এক ব্যাক্তি তার ১৫% আয়কর দন । তিনি ৬০০০ টাকা আয়কর দিয়ে থাকলে তার মোট আয় কত?
a) ৪০০০০ টাকা
b) ৫০০০০ টাকা
c) ৬০০০০ টাকা
d) কোনটিই নয়
১৫ টাকা আয়কর দিলে আয় ১০০ টাকা
১ টাকা আয়কর দিলে আয় ১০০/১৫ টাকা
৬০০০ টাকা আয়কর দিলে আয় ১০০ X ৬০০০/১৫ টাকা=৪০০০০ টাকা

61. ১৫ টি ভেড়ার মূল্য ৫টি গরুর মূল্যের সমান । ২টি গরুর মূল্যে ৩০০০ টাকা হলে ৩টি ভেড়ার মূল্য কত?
a) ১৫০০ টাকা
b) ১৭৫০ টাকা
c) ১৮০০ টাকা
d) ২০০০ টাকা
৫ টি গরু = ১৫ টি ভেড়া
১ টি গরু = ১৫/৫=৩ টি ভেড়া
এখানে,
২ টি গরু=৩০০০ টাকা
তাহলে, ১টি গরু =১৫০০ টাকা

62. If a person can save Tk. 380 in 5 weeks, in how many weeks, at this same rate, can the person save 2.6 times amount?
a) 13
b) 12.5
c) 11
d) 10.6
380x12.5 = 988 tk

Person can save Tk. 380 in 5 weeks

Person can save Tk. 988 in (5x988)/380 weeks

=13 weeks

63. During a 7-day book fair, the number of visitors doubles each day. If the fair opened on a Tuesday with 256 visitors, what was the attendance on the last day of that fair?
a) 4048
b) 6096
c) 12000
d) 16384
e) None of these

64. How many liters of fuel are needed for a steamer to sail 700 kilometers if it uses 80 liters of fuel to sail 320 kilometers?
a) 150
b) 155
c) 160
d) 170
e) None of these
To travel 320 kilometer it uses 80 litre
To travel 1 kilometer it uses 80/320 litre
To travel 700 kilometer it uses 80 X 700/320litre=175 litre

65. ‘A’ can do a work in 20 days while ‘B’ can do it in 30 days. ‘A’ and ‘B’ working together can do it in---
a) 10 days
b) 12 days
c) 15 days
d) 18 days
e) 14 days

66. If 20 men or 24 women or 40 boys can do a job in 12 days working for 8 hours a day, how many men working with 6 women and 2 boys take to do a job four times as big working for 5 hours a day for 12 days?
a) 8 men
b) 12 men
c) 2 men
d) 24 men
Amount of work done by 20 men = 24 women = 40 boys or amount of work done by 1 man = 1.2 women = 2 boys
Let us therefore, find out the amount of men required, if only men were working on the task, to complete the new job under the new conditions.
And then make adjustments for the women and boys who are already employed on the task.
The man hours required to complete the new task = 4 times the man hours required to complete the old task. (As the new task is 4 times as big as the old task)
So, the new task is 20 X 12 X 8 X 4 men hours task.
Let 'n' be the number of men required to complete the new task.
Equating the men hours of task, we get= 20 X 12 X 8 X 4
n = 128.
The new task will require 128 men, if only men worked on the task to complete it.

However, the problem states that 6 women and 2 boys are working on the job.
6 women are the equivalent of 6/1.2 = 5 men and 2 boys = 1 man.
i.e., the equivalen

67. At a certain party attended by 32 people, 24 were students. If 12 of those in attendance were women, and if 6 of the women in a attendance were students, then how many of the men who attended the party were not students?
a) 2
b) 4
c) 8
d) 12
e) 18

68. A certain machine produces 8 toys every 4 seconds. If the machine operates without interruption, how many toys will it produce in 2 minutes?
a) 60
b) /120
c) 240
d) 480
e) 960
here,
2 minutes=120 seconds
in 4 seconds produce 8 toys
in 1 seconds produce 8/4 toys
in 120 seconds produce 8X120/4 toys=240 toys

69. Rashed can stuff advertising circulars into envelopes at the rate of 45 envelopers per minute and Reena requires a minute and a half to stuff the same number of envelopes. Working together, how long will it take Rashed and Reena to stuff 300 envelopes?
a) 15 minutes
b) 4 minutes
c) 3 minutes 30 seconds
d) 3 minutes 20 seconds
e) 2 minutes
in 60 seconds Rashed can stuff 45 envelope
in 1 seconds Rashed can stuff 45/60=3/4 envelope

again,
in 90 seconds Reena can stuff 45 envelope
in 1 seconds Reena can stuff 45/90=1/2 envelope

Together in one second they can stuff=(3/4+1/2)=5/4 envelope
they can stuff 5/4 envelope in 1 second
they can stuff 1 envelope in 1X4/5 second
they can stuff 300 envelope in 1X4X300/5 second=240 second=4 minutes

70. A particular carmaker sells four models of cars, and each model comes with 5 options. How many different types of cars does the carmaker sell?
a) 15
b) 16
c) 17
d) 18
e) 20
each model comes with 5 options
so,total different types of cars does the carmaker sell =5 X 4=20

71. To produce an old photograph, a photographer charges x dollars to make a negative 3x/5 dollars for each of the first 10 prints, and x/5 dollars for each print in excess of 10 prints. If 45 dollars is the total charge to make a negative and 20 prints from an old photograph how many dollars the photographer charges to make a negative?
a) 3
b) 3.5
c) 4
d) 4.5
e) None of these
equation is
x+(3x/5)(10)+(x/5)(10)=45
x+(3x/5)(10)+(x/5)(10)=45
x+6x+2x=45
9x=45
x=5

72. Employees of a discount appliance store receive an additional 20% off the lowest price on an item. If an employee purchases a dishwasher during a 15% off sale, how much will he pay if the dishwasher originally cost $450?
a) $280.90
b) $287
c) $292.50
d) $306
e) None of these
original price = $450
The sale price will be = the original price less 15 % discount
15% off so the sale price = 450-0.15*450
sale price = $ 382.50
Employee gets 20% off on this price
The employee has to pay= 382.50 - (0.20X382.50)= $306

73. Sarah needs to make a cake and some cookies, The cake requires 3/8 cup of sugar and the cookies require 3/5 cup of sugar. Sarah has 15/16 cups of sugar. Does she have enough sugar or how much more does she need?
a) Has enough sugar
b) needs 1/8 of a cup of sugar
c) needs 3/80 cup of sugar
d) needs 6/19 cup of sugar
e) None of these
here,
she needs= 15/16 - (3/8 + 3/5)
= 15/16 - (15 + 24)/40
= 15/16 - 39/40
= (75 - 78)/80
= - 3/80 = 15/16 - (3/8 + 3/5)

= 15/16 - (15 + 24)/40

= 15/16 - 39/40

= (75 - 78)/80

= - 3/80

74. If there are 300 calories in 100 grams of a food, how many calories are there in a 30 gram portion of that food?
a) 90
b) 100
c) 900
d) 1000
e) None of these
in 100 grams of food there are 300 clalories
in 1 grams of food there are 300/100 clalories
in 30 grams of food there are 300 X30/100 clalories=90 calories

75. If 6 workers can complete 9 identicaljobs in 3 days, how long (in days) will it take 4 workers to complete10 such jobs?
a) 5
b) 4
c) 6
d) 3
e) None of these
6 workers can complete 9 identical jobs in 3 days.
1 worker can complete 9 identical jobs in 18 days
4 workers can complete 36 identical jobs in 18 days
4 workers can complete 10 jobs in 5 days.

76. A ferry can carry 24 buses or 36 cars at a time. If there are 9 cars on the ferry, how many buses can be loaded onto it?A ferry can carry 24 buses or 36 cars at a time. If there are 9 cars on the ferry, how many buses can be loaded onto it?
a) 18
b) 16
c) 15
d) 14
e) None of these

77. In an election a candidate was elected by securing 55% of the votes cast. If the elected candidate got 1000 votes more than his only rival, how many votes were cast?
a) 5500
b) 7250
c) 10000
d) 12500
e) 15000

78. In a student dormitory there was enough food to feed 300 students for 15 days. Because of admission of some new students, the food only lasted for 10 days. How many new students were admitted to the dormitory?
a) 100
b) 125
c) 150
d) 175
e) 200

79. In a certain recipe, 2(1/4) cups of flour are called for to make a cake that serves 6. If Mrs. Jesmin wants to use the same recipe to make a cake for 8, how many cups of flour must she use?
a) 2(1/3)cups
b) 2(3/4) cups
c) 3 cups
d) 3(3/8) cups
e) 4 cups

80. If the scale used for drawing a map states that the actual distance of 50 km is represented by 1 cm on the map, then according to this scale what will be the actual distance between Los Angeles and Washington D.C. If Washington D.C is 12.22 cm away from America on the map?
a) 611 km
b) 61 km
c) 61.1 km
d) 611 cm
It is given that, 1cm on map is equal to 50 km on the road.
We have to find out the actual distance for a distance of 12.22cm on the map.
We can write the above equalities as follows,
1 cm = 50 km \ 12.22 cm = say 'x' cm.
∴ x = 50 X 12.22 = 611 km.

81. Afia can do her term paper in 15 days which takes Babul 20 days to finish, What is the fraction of work left if both Afia & Babul work together for 4 days?
a) 1/4
b) 1/10
c) 7/15
d) 8/15
e) none of these
Afia,
in 15 days does 1 work
in 4 days does 4/15 work
Bbul,
in 20 days do 1 work
in 4 days do 4/20 work
both of them do together=(4/15+4/20)=7/15 part
left=(1-7/15)=8/15

82. Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At the rate how many bottles could 10 such machines produce in 4 minutes.
a) 648
b) 1800
c) 2700
d) 10800
6 machines produce 270 bottles per minute;
1 machine produces 270/6=45 bottles per minute;
10 machines produce 45×10=450 bottles per minute;
In 4 minutes 10 machines produce 450×4=1,800 bottles.

83. Worker A takes 8 hours to do a job. Worker B takes 10 hour to do the same job. How long should it take both A and B, working together but independently, to do the same job?
a) 4(4/9) days
b) 4(4/7) days
c) 4(3/8) days
d) None of these
working together, they can do 1/10+1/8=9/40

they can do the whole job in: 40/9 days=4(4/9) days

84. How many pieces of 85 cm length can be cut from a rod 42.5 meters long?
a) 30
b) 40
c) 60
d) None of these

85. Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is:
a) 10
b) 12
c) 14
d) 16
Part filled in 2 hours = 2/6 = 1/3

Remaining part = (1 – 1/3) = 2/3.

(A + B)'s 7 hour's work = 2/3

(A + B)'s 1 hour's work = 2/21

So, C's 1 hour's work = { (A + B + C)'s 1 hour's work } - { (A + B)'s 1 hour's work }

=(1/6 – 2/21) = 1/14

Therefore, C alone can fill the tank in 14 hours.

86. Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full in:
a) 6 hours
b) 6(2/3)hours
c) 7 hours
d) 7(1/2) hours
(A + B)'s 1 hour's work = (1/12 + 1/15)

= 9/60 = 3/20.

(A + C)'s hour's work =(1/12 + 1/20)

= 8/60 = 2/15.

Part filled in 2 hrs = (3/20 + 2/15) = 17/60.

Part filled in 6 hrs = (3 x 17/60) = 17/20.

Remaining part =(1 – 17/20) = 3/20.

Now, it is the turn of A and B and 3/20 part is filled by A and B in 1 hour.

Therefore, Total time taken to fill the tank = (6 + 1) hrs = 7 hrs.

87. A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
a) 3 hrs 15 min
b) 3 hrs 45 min
c) 4 hrs
d) 4 hrs 15 min
Time taken by one tap to fill half of the tank = 3 hrs.

Part filled by the four taps in 1 hour = (4 x 1/6) = 2/3.

Remaining part = (1 – ½) = 1/2.

So, 2/3 : 1/2 :: 1 : x

=> x = (1/2 x 1 x 3/2)= 3/4 hours

i.e., 45 mins.

So, total time taken = 3 hrs. 45 mins.

88. A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?
a) 15 min
b) 20 min
c) 27.5 min
d) 30 min
Part filled by (A + B) in 1 minute = (1/60 + 1/40)

=1/24.

Suppose the tank is filled in x minutes.

Then, x/2(1/24 + 1/40) = 1

=> x/2 × 1/15 = 1

=> x = 30 min.

89. One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:
a) 81 min.
b) 108 min.
c) 144 min.
d) 192 min.
Let the slower pipe alone fill the tank in x minutes.

Then, faster pipe will fill it in x/3 minutes.

So, 1/x + 3/x = 1/36

=> 4/x = 1/36

=> x = 144 min

90. Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?
a) 10 min. 20 sec.
b) 11 min. 45 sec.
c) 12 min. 30 sec.
d) 14 min. 40 sec.
Part filled in 4 minutes = 4(1/15 + 1/20)

= 7/15.

Remaining part = (1 – 7/15) = 8/15.

Part filled by B in 1 minute = 1/20

So, 1/20 : 8/15 :: 1 : x

x = (8/15 x 1 x 20)

= 10(2/3) min

= 10 min. 40 sec.

Therefore, The tank will be full in (4 min. + 10 min. + 40 sec.)

= 14 min. 40 sec.

91. Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?
a) 12 min
b) 15 min
c) 25 min
d) 50 min
Part filled by A in 1 min = 1/20

Part filled by B in 1 min = 1/30

Part filled by (A + B) in 1 min = (1/20 + 1/30)

= 1/12

Both pipes can fill the tank in 12 minutes.

92. Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill the cistern. How much time will be taken by A to fill the cistern separately?
a) 1 hour
b) 2 hours
c) 6 hours
d) 8 hours
Let the cistern be filled by pipe A alone in x hours.

Then, pipe B will fill it in (x + 6) hours.

So, 1/x + 1/(x + 6) = ¼

=> (x + 6 + x)/ x(x + 6) 4 = 1/4

=> x² - 2x - 24 = 0

=> (x -6)(x + 4) = 0

=> x = 6. [neglecting the negative value of x]

93. A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?
a) 20 hours
b) 25 hours
c) 35 hours
d) Cannot be determined
e) None of these
Suppose pipe A alone takes x hours to fill the tank.

Then, pipes B and C will take x/2 and x/4 hours respectively to fill the tank.

So, 1/x + 2/x + 4/x = 1/5

=> 7/x = 1/5

=> x = 35 hrs.

94. Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is:
a) 60 gallons
b) 100 gallons
c) 120 gallons
d) 180 gallons
Work done by the waste pipe in 1 minute = 1/15 (1/20 + 1/24)

=(1/15 - 11/120)

= - ¼ [-ve sign means emptying]

So, Volume of 1/40 part = 3 gallons.

Volume of whole = (3 x 40) gallons = 120 gallons.

95. A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is:
a) 6 hours
b) 10 hours
c) 15 hours
d) 30 hours
Suppose, first pipe alone takes x hours to fill the tank .

Then, second and third pipes will take (x -5) and (x - 9) hours respectively to fill the tank.

So, 1/x + 1/(x - 5) = 1/(x - 9)

=> (x - 5 + x) / x(x - 5) = 1/(x – 9)

=> (2x - 5)(x - 9) = x(x - 5)

=> x² - 18x + 45 = 0

=> (x - 15)(x - 3) = 0

=> x = 15. [neglecting x = 3]

96. Two pipes A and B can fill a cistern in 37(1/2) minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after:
a) 5 min.
b) 9 min.
c) 10 min.
d) 15 min.
Let B be turned off after x minutes. Then,

Part filled by (A + B) in x min. + Part filled by A in (30 -x) min.= 1.

So, x(2/75 + 1/45) + (30 - x) 2/75 = 1

=> 11x/225 + (60 -2x)/75 = 1

=> 11x + 180 - 6x = 225.

=> x = 9.

97. A pump can fill a tank with water in 2 hours. Because of a leak, it took 2(1/3) hours to fill the tank. The leak can drain all the water of the tank in:
a) 4(1/3) hours
b) 7 hours
c) 8 hours
d) 14 hours
Work done by the leak in 1 hour =(1/2 - 3/7) = 1/14.

So, Leak will empty the tank in 14 hrs.

98. Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in:
a) 1(13/17) hours
b) 2(8/11) hours
c) 3(9/17) hours
d) 4(1/2) hours
Net part filled in 1 hour (1/5 + 1/6 – 1/12) = 17/60.

So, The tank will be full in 60/17 hours

i.e., 3(9/17) hours.

99. Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P,Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 3 minutes?
a) 5/11
b) 6/11
c) 7/11
d) 8/11
Part filled by (A + B + C) in 3 minutes

= 3 (1/30 + 1/20 + 1/10)

= 3 x (11/60)

= 11/20

Part filled by C in 3 minutes = 3/10

So, Required ratio = (3/10 x 20/11) = 6/11.

100. 4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?
a) 4
b) 8
c) 12
d) 16

101. 36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work?
a) 12
b) 18
c) 22
d) 24
e) None of these
Let the required number of days be x.

Less men, More days (Indirect Proportion)

So, 27 : 36 :: 18 : x

=> 27 x x = 36 x 18

=> x = (36 x 18)/27

=> x = 24.

102. An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 25 metres of cloth?
a) 178
b) 195
c) 204
d) 488
Le the required time be x seconds.

More metres, More time (Direct Proportion)

So, 0.128 : 25 :: 1 : x

=> 0.128x = 25 x 1

=> x = 25/0.128 = (25 x 1000)/128

=> x = 195.31.

So, Required time = 195 sec (approximately).

103. In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with remaining meal?
a) 20
b) 30
c) 40
d) 50
There is a meal for 200 children. 150 children have taken the meal.

Remaining meal is to be catered to 50 children.

Now, 200 children = 120 men.

50 children=(120/200) x 50 = 30 men.

104. A flagstaff 17.5 m high casts a shadow of length 40.25 m. The height of the building, which casts a shadow of length 28.75 m under similar conditions will be:
a) 10 m
b) 12.5 m
c) 17.5 m
d) 21.25 m
Let the height of the building x metres.

Less lengthy shadow, Less in the height (Direct Proportion)

So, 40.25 : 28.75 :: 17.5 : x

=> 40.25 x x = 28.75 x 17.5

=> x = (28.75 x 17.5)/40.25

=> x = 12.5

105. If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days?
a) 1
b) 7/2
c) 7
d) 49

106. A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:
a) 4
b) 9
c) 12
d) 49
Let the required number of revolutions made by larger wheel be x.

Then, More cogs, Less revolutions (Indirect Proportion)

14 : 6 :: 21 : x

=> 14 x x = 6 x 21

=> x = (6 x 21)/14

=> x = 9.

107. In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?
a) 1
b) 1/40
c) 40
d) 80

108. If a quarter kg of potato costs 60 paise, how many paise will 200 gm cost?
a) 48 paise
b) 54 paise
c) 56 paise
d) 72 paise
Let the required weight be x kg.

Less weight, Less cost (Direct Proportion)

So, 250 : 200 :: 60 : x

=> 250 x x = (200 x 60)

So, x = (200 x 60)/250

=> x = 48.

109. A man completes 5/8 of a job in 10 days. At this rate, how many more days will it takes him to finish the job?
a) 5
b) 6
c) 7
d) 7(1/2)
Work done = 5/8

Balance work = (1 – 5/8) = 3/8

Let the required number of days be x.

Then, 5/8 : 3/8 = :: 10 : x

=> 5/8 x x = 3/8 x 10

=> x = (3/8 x 10 x 8/5)

=> x = 6.

110. 39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
a) 10
b) 13
c) 14
d) 15

111. A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:
a) 29(1/5)
b) 37(1/4)
c) 42
d) 54

112. Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
a) 648
b) 1800
c) 2700
d) 10800

113. If the cost of x metres of wire is d rupees, then what is the cost of y metres of wire at the same rate?
a) Tk. (xy/d)
b) Tk. (xd)
c) Tk. (yd)
d) Tk. (yd/x)
Cost of x metres = Tk. d.

Cost of 1 metre = Tk. (d/x)

Cost of y metres = Tk. (d/x . y) = Tk. (yd/x).

114. 3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?
a) 9
b) 10
c) 11
d) 12

115. Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?
a) 3 : 4
b) 4 : 3
c) 5 : 3
d) Data inadequate
(20 x 16) women can complete the work in 1 day.

So, 1 woman's 1 day's work =1/320.

(16 x 15) men can complete the work in 1 day.

So, 1 man's 1 day's work = 1/240.

So, required ratio = 1/240 : 1/320

=> 1/3 : 1/4

= 4 : 3 (cross multiplied)

116. A works twice as fast as B. If B can complete a work in 12 days independently, the number of days in which A and B can together finish the work in :
a) 4 days
b) 6 days
c) 8 days
d) 18 days
Ratio of rates of working of A and B = 2 : 1

So, ratio of times taken = 1 : 2.

B's 1 day's work =1/12.

Therefore, A's 1 day's work = 1/6; (2 times of B's work)

(A + B)'s 1 day's work = (1/6 + 1/12)

= 3/12 =1/4.

So, A and B together can finish the work in 4 days.

117. A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?
a) 18 days
b) 24 days
c) 30 days
d) 36 days
2(A + B + C)'s 1 day's work = (1/30 + 1/24 + 1/20) = 15/120 = 1/8.

Therefore, (A + B + C)'s 1 day's work = 1/(2×8) = 1/16.

Work done by A, B, C in 10 days =10/16 = 5/8.

Remaining work = (1 - 5/8) =3/8.

A's 1 day's work = (1/16 – 1/24) = 1/48.

Now, 1 work is done by A in 1 day.

So, 3/8 work will be done by A in (48 x 3/8) = 18 days.

118. A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in :
a) 8 days
b) 10 days
c) 12 days
d) 15 days
(A + B)'s 1 day's work = (1/15 + 1/10) = 1/6.

Work done by A and B in 2 days =(1/6 x 2)=1/3.

Remaining work = (1 – 1/3)=2/3.

Now, 1/15 work is done by A in 1 day.

Therefore, 2/3 work will be done by a in (15 x 2/3) = 10 days.

Hence, the total time taken = (10 + 2) = 12 days.

119. A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:
a) 4 days
b) 6 days
c) 8 days
d) 12 days
Suppose A, B and C take x, x/2 and x/3 days respectively to finish the work.

Then, (1/x +2/x + 3/x) = 1/2

=> 6/x = 1/2

=> x = 12.

So, B takes (12/2) = 6 days to finish the work.

120. A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?
a) 30 days
b) 40 days
c) 60 days
d) 70 days
Let A's 1 day's work = x and B's 1 day's work = y.

Then, x + y = 1/30 and 16x + 44y = 1.

Solving these two equations, we get: x = 1/60 and y = 1/60

So, B's 1 day's work = 1/60.

Hence, B alone shall finish the whole work in 60 days.

121. A and B can do a job together in 7 days. A is 1(3/4) times as efficient as B. The same job can be done by A alone in :
a) 9(1/3) days
b) 11 days
c) 12(1/4)days
d) 16(1/3) days
(A's 1 day's work) : (B's 1 day's work) = (7/4) : 1 = 7 : 4.

Let A's and B's 1 day's work be 7x and 4x respectively.

Then, 7x + 4x = 1

=> 11x = 1/7

=> x = 1/77.

Therefore, A's 1 day's work =(1/77)x 7 =1/11.

122. X can do a piece of work in 40 days. He works at it for 8 days and then Y finished it in 16 days. How long will they together take to complete the work?
a) 13(1/3) days
b) 15 days
c) 20 days
d) 26 days
Work done by X in 8 days =(1/40 x 8) = 1/5.

Remaining work = (1 – 1/5) = 4/5.

Now, 4/5 work is done by Y in 16 days.

Whole work will be done by Y in (16 x 5/4) = 20 days.

Therefore, X's 1 day's work = 1/40,

Y's 1 day's work = 1/20.

So, (X + Y)'s 1 day's work = (1/40 + 1/20) = 3/40.

Hence, X and Y will together complete the work in (40/3)

= 13(1/3) days.

123. A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:
a) 5 days
b) 6 days
c) 10 days
d) 10(1/2) days
(B + C)'s 1 day's work = {(1/9) +(1/12)} = 7/12.

Work done by B and C in 3 days ={(7/36) x 3} = 7/12.

Remaining work ={1 –(7/12)} = 5/12.

Now, 1/24 work is done by A in 1 day.

So, 5/12 work is done by A in {24 x (5/12)} = 10 days.

124. A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in :
a) 4 days
b) 6 days
c) 8 days
d) 12 days
(A + B + C)'s 1 day's work = 1/6;

(A + B)'s 1 day's work = 1/8;

(B + C)'s 1 day's work = 1/12.

Therefore, (A + C)'s 1 day's work

= {2 x (1/6)} – {(1/8) + (1/12)}

=(1/3 – 5/24)

= 3/24

=1/8.

So, A and C together will do the work in 8 days.

125. Sakib can do a piece of work in 20 days. Tanya is 25% more efficient than Sakib. The number of days taken by Tanya to do the same piece of work is:
a) 15
b) 16
c) 18
d) 25
Ratio of times taken by Sakib and Tanya = 125:100 = 5 : 4.

Suppose Tanya takes x days to do the work.

5 : 4 :: 20 : x

=> x = (4 x 20)/5

=> x = 16 days.

Hence, Tanya takes 16 days to complete the work.

126. A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:
a) 1/24 day
b) 7/24 days
c) 3(3/7)
d) 4 days
Formula: If A can do a piece of work in n days, then A's 1 day's work = 1/n.

(A + B + C)'s 1 day's work = (1/24 + 1/6 + 1/12) = 7/24.

Formula: If A's 1 day's work =1/n, then A can finish the work in n days.

So, all the three together will complete the job in (24/7) Days =3(3/7) days.

127. Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 32 pages on a computer, while Kumar takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
a) 7 hours 30 minutes
b) 8 hours
c) 8 hours 15 minutes
d) 8 hours 25 minutes
Number of pages typed by Ravi in 1 hour = 32/6 = 16/3

Number of pages typed by Kumar in 1 hour = 40/5 = 8.

Number of pages typed by both in 1 hour = (16/3 + 8) = 40/3.

Therefore, Time taken by both to type 110 pages = (110 x 3/40) hours.

= 8(1/4) hours (or) 8 hours 15 minutes.

128. A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?
a) 11 days
b) 13 days
c) 20(3/17) days
d) None of these
Ratio of times taken by A and B = 100 : 130 = 10 : 13.

Suppose B takes x days to do the work.

Then, 10 : 13 :: 23 : x

=> x =(23 x 13)/10

=> x = 299/10.

A's 1 day's work =1/23;

B's 1 day's work =10/299.

(A + B)'s 1 day's work = (1/23 + 10/299)

=1/23.

Therefore, A and B together can complete the work in 13 days.

129. X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?
a) 6 days
b) 10 days
c) 15 days
d) 20 days
Work done by X in 4 days = (1/20 x 4) = 1/5.

Remaining work =(1 – 1/5) = 4/5.

(X + Y)'s 1 day's work = (1/20 + 1/12)

= 8/60 = 2/15.

Now, 2/15 work is done by X and Y in 1 day.

So, 4/5 work will be done by X and Y in (15/15 x 4/5)= 6 days

Hence, total time taken = (6 + 4) days = 10 days.

130. 10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?
a) 3
b) 5
c) 7
d) Cannot be determined
e) None of these
1 woman's 1 day's work = 1/70

1 child's 1 day's work =1/140

(5 women + 10 children)'s day's work = (5/70 + 10/140)

=(1/14 + 1/14) = 1/7

So, 5 women and 10 children will complete the work in 7 days.

131. P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?
a) 5(5/11)
b) 5(6/11)
c) 6(5/11)
d) 6(6/11)
P can complete the work in (12 x 8) hrs. = 96 hrs.

Q can complete the work in (8 x 10) hrs. = 80 hrs.

P's1 hour's work =1/96 and Q's 1 hour's work =1/80.

So, (P + Q)'s 1 hour's work = (1/96 + 1/80) = 11/480.

So, both P and Q will finish the work in (480/11) hrs.

Therefore, Number of days of 8 hours each = (480/11 x 1/8)

= 60/11 days = 5(5/11) Days.

132. A and B can together finish a work 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the work?
a) 40
b) 50
c) 54
d) 60
(A + B)'s 20 day's work =(1/30 x20) = 2/3

Remaining work = (1 -2/3) = 2/3.

Now, 1/3 work is done by A in 20 days.

Therefore, the whole work will be done by A in (20 x 3)

= 60 days.

133. 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?
a) 35
b) 40
c) 45
d) 50
Let 1 man's 1 day's work = x and 1 woman's 1 day's work = y.

Then, 4x + 6y =1/8 and 3x + 7y =1/10.

Solving the two equations, we get: x =11/400, y=1/400

So, 1 woman's 1 day's work =1/400

=> 10 women's 1 day's work = (1/400 x 10) =1/40.

Hence, 10 women will complete the work in 40 days.

134. A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?
a) 5
b) 5(1/2)
c) 6
d) 8
B's 10 day's work = (1/15 x 10)=2/3.

Remaining work=(1- 2/3) = 1/3.

Now, 1/18 work is done by A in 1 day.

Therefore, 1/3 work is done by A in(18 x1/3)

= 6 days.

135. A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 A.M. while machine P is closed at 11 A.M. and the remaining two machines complete work. Approximately at what time will the work (to print one lakh books) be finished?
a) 11:30 A.M.
b) 12 noon
c) 12:30 P.M.
d) 1:00 P.M.
(P + Q + R)'s 1 hour's work = (1/8 + 1/10 +1/12) = 37/120

Work done by P, Q and R in 2 hours = (37/120 ×2) = 37/60.

Remaining work = (1 – 37/60) = 23/60

(Q + R)'s 1 hour's work = (1/10 + 1/12) = 11/60.

Now, 11/60 work is done by Q and R in 1 hour.

So, 23/60 work will be done by Q and R in (60/11 × 23/60)

=23/11 hours ≈ 2 hours.

So, the work will be finished approximately 2 hours after 11 A.M.,

i.e., around 1 P.M.

136. A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?
a) 23 days
b) 37 days
c) 371/2
d) 40 days
Whole work is done by A in (20 x (5/4)) = 25 days.

Now, (1 – 4/5) i.e., 1/5 work is done by A and B in 3 days.

Whole work will be done by A and B in (3 x 5) = 15 days.

A's 1 day's work = 1/25, (A + B)'s 1 day's work = 1/15

Therefore, B's 1 day's work = (1/15 – 1/25) = 4/150 = 2/75.

So, B alone would do the work in 75/2 = 37(1/2) days.

137. A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in:
a) 15 days
b) 20 days
c) 25 days
d) 30 days
(A + B)'s 1 day's work = 1/10.

C's 1 day's work = 1/50.

(A + B + C)'s 1 day's work =(1/10 + 1/50)

= 6/50 = 3/25 ……..... (i)

A's 1 day's work = (B + C)'s 1 day's work .... (ii)

From (i) and (ii), we get: 2 x (A's 1 day's work) = 3/25.

A's 1 day's work =3/50.

So, B's 1 day's work (1/10 – 3/50)

= 2/50 = 1/25.

So, B alone could do the work in 25 days.

138. A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?
a) 8 hours
b) 10 hours
c) 12 hours
d) 24 hours
A's 1 hour's work=1/4;

(B + C)'s 1 hour's work = 1/3;

(A + C)'s 1 hour's work = 1/2

(A + B + C)'s 1 hour's work = ((1/4)+(1/3)) = 7/12.

B's 1 hour's work = (7/12 – 1/2)= 1/12

Therefore, B alone will take 12 hours to do the work.

139. If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:
a) 4 days
b) 5 days
c) 6 days
d) days
Let 1 man's 1 day's work = x and 1 boy's 1 day's work = y.

Then, 6x + 8y = 1/10 and 26x + 48y = 1/2

Solving these two equations, we get : x = 1/100 and y = 1/200

(15 men + 20 boy)'s 1 day's work = (15/100) + (20/200) = 1/4

So, 15 men and 20 boys can do the work in 4 days.

140. A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Tk. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?
a) Tk. 375
b) Tk. 400
c) Tk. 600
d) Tk. 800
C's 1 day's work = (1/3)- {(1/6)+(1/8)} = (1/3) - 7 = 1/24.

A's wages : B's wages : C's wages =1/6 : 1/8 : 1/24

= 4 : 3 : 1.

So, C's share (for 3 days) = Tk.{3 x (1/24) x 3200}

= Tk. 400.

141. A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:
a) 20 days
b) 22(1/2) days
c) 25 days
d) 30 days
Ratio of times taken by A and B = 1 : 3.

The time difference is (3 - 1) 2 days while B take 3 days and A takes 1 day.

If difference of time is 2 days, B takes 3 days.

If difference of time is 60 days, B takes (3/2)x 60 = 90 days.

So, A takes 30 days to do the work.

A's 1 day's work =1/30

B's 1 day's work =1/90

(A + B)'s 1 day's work =(1/30 + 1/90) = 4/90 = 2/45

So, A and B together can do the work in 45/2 = 22(1/2) days.

142. A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
a) 12 days
b) 15 days
c) 16 days
d) 18 days
A's 2 day's work = ((1/20) x 2) = 1/10

(A + B + C)'s 1 day's work = (1/20+1/30+1/60)

=6/60 = 1/10

Work done in 3 days = (1/10 + 1/10)= 1/5

Now, 1/5 work is done in 3 days.

So, Whole work will be done in (3 x 5) = 15 days.

143. A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:
a) 9(1/5) days
b) 9(2/5) days
c) 9(3/5) days
d) 10 days
(A + B + C)'s 1 day's work = 1/4

A's 1 day's work = 1/16

B's 1 day's work = 1/12

So, C's 1 day's work =(1/4)-(1/16 + 1/12)

= (1/4 – 7/48)=5/48

So, C alone can do the work in 48/5 = 9(3/5) days.

144. A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is:
a) 1/4
b) 1/10
c) 7/15
d) 8/15
A's 1 day's work = 1/15;

B's 1 day's work = 1/20;

(A + B)'s 1 day's work = (1/15) + (1/20) = 7/60

(A + B)'s 4 day's work = ((7/60) x 4) = 7/15.

Therefore, Remaining work = (1 – 7/15) = 8/15

145. The daily rate for a hotel room having 4 beds Tk. 390 for one person and X taka for each additional person. If 3 people take the room for one day and each pays Tk. 210 for the room then what is the value of X?
a) 60
b) 80
c) 240
d) 120
Total Paid = 3X210 = 630

Basic Pay for one person= 390

Additional for two persons= 240

So additional for one person =120

146. Susan can type 10 pages in 5 minutes. Mary can type 5 pages in 10 minutes. Working together, how many pages can they type in 30 minutes?
a) 15
b) 20
c) 25
d) 65
e) 75
In one minute,
Susan, does one page:

(5/10)=1/2

Mary, does one page:

(10/5)=2

So, both do :

Net-work: (2+1/2)=5/2

Thus ,

1 minute work done: 5/2

So, In 30-minutes : 30 * (5/2) = 75 pages

147. If a light flashes every 6 seconds, how many times will it flash in ¾ of an hour?
a) 450 times
b) 449 times
c) 451 times
d) 550 times
e) 448 times
There are 60 minutes in an hour.

In ¾ of an hour there are (60 * ¾) minutes = 45 minutes.

In ¾ of an hour there are (60 * 45) seconds = 2700 seconds.

Light flashed for every 6 seconds.

In 2700 seconds 2700/6 = 450 times.

The count start after the first flash, the light will
flashes 451 times in ¾ of an hour.

148. A map has a scale of 1 cm to 30 km, What length on actual ground does a 3cm length on the map represent?
a) 9 km
b) 1 km
c) 6 km
d) 6 cm
e) 1 cm
1 cm = 30 km

3 cm = (30 * 3) km

= 90 km

149. The cost of renting a small bus for a trip was Taka X which was to be shared equally by 16 persons. Actually 10 person availed the trip. How much more Taka will be the cost per person?
a) X/6
b) X/10
c) 3X/40
d) X/16
e) 3X/80
At first,

16 persons = X taka

1 person = X / 16 taka

Afterward,

10 persons = X taka

1 person = X / 10 taka

Now,

The difference would be:

(X/10) - (X/16) = (8X - 5X) / 80

= 3X / 80

150. Shanto was asked to find the value of 7/12 of a sum of money. Instead of multiplying the same by 7/12, he devided it by 7/12 and his answer exceeded the correct answer by 95. The correct answer is—
a) 48
b) 89
c) 84
d) 69
e) 49
Sum of money = X taka

7/12 th of the money = (7* X) / 12

Due to Shanto's mistake, he found the value of:

12 / 7 th of the money = (12 * X) / 7

Now,

(12*X)/7 - (7*X)/12 = 95

or, (144X - 49X) / 84 = 95

or, 95X / 84 = 95

or, X = (95 * 84) / 95

or, X = 84

151. A pump removes water at a rate of 6 gallons per minute. How many hours will it take to remove 1800 gallons?
a) 4 hours
b) 5 hours
c) 3 hours
d) 6 hours
e) 5(1/2) hours
6 gallons removed in 1 minute

1800 gallons will be removed in 1800 / 6 minutes

                                                        = 300 minutes

                                                        = (300 / 60) hours
                                &

154. A ferry can carry 24 buses or 36 cars at a time. If there are 18 buses on the ferry, how many cars can be loaded onto it?
a) 6
b) 8
c) 9
d) 12
e) None of these
24 buses = 36 cars

or, 1 bus = 36 / 24 cars = 3 /2 cars

Ferry is loaded with 18 buses.
Ferry has free space in terms of buses = (24 - 18) buses

= 6 buses

Now,

1 bus = 3 /2 cars

6 buses = 3*6 / 2 cars

= 18 / 2 cars = 9 cars

155. A picnic was arranged by m students. The cost of the picnic was estimated to be y taka. Unfortunately, Z students withdrew their names from the picnic. How many more taka would each of the would each of the remaining students have to pay?
a) y/m
b) y/(m-z)
c) y/(m-z)-y/m
d) y/m-y/z
e) Cannot be determined
At first,
Each student had to give = y/m taka

After z students backing out,

Each students had to give = y/(m-z)

Thus, the amount the remaining students have to pay more = y/(m-z) - y/m

156. An examiner checks 4 scripts in 5/3 hours. How many scripts can he check in 50 minutes?
a) 2
b) 21/3
c) 22/3
d) 25/6
e) None of these
5/3 hours = 60 * 5/3 Minutes

= 100 minutes

In 100 minutes, he checks 4 scripts

In 50 minutes, he checks 4*50/100 scripts

= 2 scripts

157. Jamal needs 8 hours to do a job. Kamal takes 10 hours to do the same job. How long should it take Kamal & Jamal working together to do the job?
a) 5 hours
b) 41/2 hours
c) 21/2 hours
d) 44/9 hours
e) None of these
In 8 hours, Jamal does 1 job

In 1 hour, Jamal does 1/8 job

Again,

In 10 hours, Kamal does 1 job

In 1 hour, Kamal does 1/10 job.

Now,

In 1 hour, together they will do (1/8 + 1/10) job

                                                 = 18 / 80 job

                                                 = 9/40 job

Thus Together,

They do 9/40 job in 1 hour

They do 1 job in 40/9 hours

       &nb

158. How much will it cost to fence in a field that is 12 feet long and 42 feet wide with fence that cost $10 a yard?
a) $180
b) $360
c) $504
d) $540
e) $1080
1 yard = 3 feet

Thus,
Length of the field = 12 feet

                               = 4 yard

Width of the field = 42 feet

                             = 42/3 yard

                             = 14 yard

Now, Total length of the fence = (2*4) + (2*14) yards

                                         &nbs

159. A company makes a profit of 7% selling goods which cost Tk. 2000; it also makes a profit of 6% selling a machine that cost the company Tk. 5000. How much total profit did the company make on both transactions?
a) Tk. 300
b) Tk. 400
c) Tk. 420
d) Tk. 440
e) Tk. 490
Profit from first transaction = 2000 * 7% = 2000 * 7/100 = 140 tk

Profit from second transaction = 5000 * 6% = 5000 * 6/100 = 300 tk

So, Total pofit = 140 + 300 tk = 440 tk

160. If 3 apples cost 19 cents, how many apples can be purchased for $ 1.52?
a) 15
b) 19
c) 22
d) 24
e) 26
19 cents

or, $0.19 for 3 apples

then, $1.52 for 3 * 1.52 / 0.19 apples

= 24 apples

161. A pipe of 2 inch diameter fills a water tank in one hour. If the diameter of the pipe is 4 inch in what time the pipe fill the same tank?
a) 10 minutes
b) 15 minutes
c) 30 minutes
d) 45 minutes
e) None of these
For the first pipe, the area is: Pi * 2² = Pi * 4

For the second pipe, the area is: Pi * 4² = Pi * 16

Now,

pipe with Pi * 4 sq. inch area can fill the tank in 1 hour or 60 min

pipe with Pi * 16 sq. inch area can fill the tank in 1 hour or (60 * Pi * 4) / (Pi * 16) min

= (60 / 4) min

= 15 minutes

162. Rashid can do a piece of work in 8 days, which Tipu can finish in 12 days. If they work at it on alternate days with Rashid beginning, in how many days, the work will be finished?
a) 28/3 days
b) 19/2 days
c) 217/24 days
d) 31/3 days
e) None of these

163. Together, Andrea and Brian weight p pounds. Brian weights 10 pounds more than Andrea. Brain and Andrea’s dog, Cubby, weights p/4 pounds more than Andrea. In terms of p, what is Cubby’s weight in pounds?
a) p/2-10
b) 3p/4-5
c) 3p/2-5
d) 5p-5
e) None of these
since "Brian and Cubby" form a plural noun and require a plural verb.

So, now that we know how to interpret the question, our equations are:

A + B = P

B = A + 10

C = A + P/4

We want to solve for C, so let's get rid of A and B by getting A in terms of P and then subbing into the Cubby equation:

A + 10 = B

A + A + 10 = P

2A = P - 10

A = P/2 - 5

C = P/2 - 5 + P/4

C = (2P/4) + P/4 - 5

C = (2P + P)/4 - 5

C = 3P/4 - 5

164. The number of flights leaving a certain airport doubles during every one-hour period between its 9 am opening and noon; after noon, the number of flights leaving from the airport doubles during every two-hour period if 4 flights left from the airport between 9 am and 10 am, how many flights left airport between 2 pm and 4 pm?
a) 128
b) 32
c) 48
d) 64
e) None Of these
Doubles every hour between 9 and 12, doubles every 2 hours after 12

9-10 : 4 flights : given

10-11: 8 flights : double the number between 9-10

11-12: 16 flights : double the number between 10 : 11

12-2 : 32 flights : etc.

2-4 : 64 flights

64 flights left the airport in the period from 2pm to 4pm.

165. For all natural value of n, the number n²+n+3 is
a) A multiple of 3
b) always odd
c) always even
d) none of these

166. P,Q and R start a business. P invests 3.5 times as much as Q invests and Q invests one-third of what R does. If the gross profit is Tk. 1545, determine the share of P.
a) Tk. 618
b) Tk. 309
c) Tk. 720
d) Tk. 721

167. A certain stock food items is sufficient for 40 men for 12 days. Assuming the eating capacity of all the men to be same, find for how many days the food stock will last if an additional 15 men join the group?
a) 88/11
b) 83/10
c) 71/2
d) 101/3
40 men can finish the stock in 12 days

1 men can finish the stock in 12*40 days

55 men can finish the stock in 12*40/55 days

= 8.727272728

= 8⁸/₁₁

168. After being dropped, a certain ball always bounces back to 2/5 of the height of its previous bounce. After the first bounce it reach a height of 125 inches. How high (in inches) will it reach after its fourth bounce?
a) 20
b) 15
c) 8
d) 3.2
e) None of these
The required height = (2/5)³ * 125 inches

= 8 inches

169. In a certain country, a person is born every 7 seconds and a person dies in every 13 seconds. Therefore, the birth and death rates amount for a population growth rate of one person every-
a) 4.5 seconds
b) 6 seconds
c) 15.17 seconds
d) 20 seconds
e) None of these

170. A 12 gallon tub has a faucet that lets water in at a rate of 3 gallons per minute, and has a drain that lets water out at a rate of 1.5 gallons per minute. If you start with 3 gallons of water in the tub, how long will it take to fill the tub completely?
a) 6 minutes
b) 7 minutes
c) 8 minutes
d) 9 minutes
e) None
Tub's total capacity = 12 gallon. Question dictates Tub has 3 gallons already filled up. So we have to find out what time it takes to fill up rest 9 gallon (12-3) considering the faucet and drain.

As given for faucet, it takes 1 min to fill up 3 gallons

and it takes 1 min to drain 1.5 gallons.

So within 1 min the tub actually fills 1.5 gallons (3-1.5)

Now 1.5 gallons are filled up in 1 min

1 gallon is filled up in 1/1.5 min

so 9 gallons are filled up in (1/1.5) *9 mins = 6 mins (ANS)

171. A man completes ⁵/₈ of a job in 10 days. At this rate, how many more days will it take him to finish the job?
a) 5
b) 6
c) 7
d) 7.5
5/8 of a job in 10 days
1 or full work in 8x10/5=16 days
so,more days needed=(16-10)=6 days

172. If 8 men can reap 80 hectars in 24 days, then how many hectars can 36 men reap in 30 days?
a) 350
b) 400
c) 425
d) 450
8 man can reap in 24 days total 80 hectors

1 man can reap in 1 days total 80/8x24 hectors
36 man can reap in 30 days total 80x30x36/8x24 hectors=450 hectors

173. P এবং Q এর একটি কাজ একা সম্পন্ন করতে সময় লাগে যথাক্রমে ১৫ দিন ও ১০ দিন। তারা একসঙ্গে কাজটি ৩দিন করার পর P অন্যত্র চলে যায়। অবশিষ্ট কাজ Q একা সম্পন্ন করে। সমগ্র কাজটি সমাপ্ত হতে কত সময় লাগলো।
a) ৩ দিন
b) ৪ দিন
c) ৫ দিন
d) ৮ দিন
P একা ১৫ দিনে করে ১ টি কাজ

         ১ দিনে করে ১/১৫ টি কাজ

আবার, Q একা ১০ দিনে করে ১ টি কাজ

         ১ দিনে করে ১/১০ টি কাজ

২ জন একত্রে কাজ করলে, ১ দিনে সম্পন্ন করে (১/১৫ + ১/১০) কাজ

                      = (২ + ৩) / ৩০ কাজ

                      = ৫ / ৩০ কাজ

                      = ১ / ৬ কাজ

৩ দিনে সম্পন্ন করে = ৩ * (১/৬) = ১ / ২

এখন, কাজ বাকি থাকে = (১ - ১/২)=১/২ অংশ

Q ১/১০ অংশ দিনে করে ১ দিনে

"   ১ অংশ "    " = ১০ "

সুতরাং " ১/২ " =

174. A tank is fitted with 8 pipes, some of them that fill the tank and others that are waste pipe meant to empty the tank. Each of the pipe that fill the tank can fill it in 8 hours, while each of those that empty the tank can empty it in 6 hours. If all the pipes are kept open when the tank is full, it will take exactly 6 hours for the tank to empty. How many of these are fill pipes?
a) 2
b) 4
c) 6
d) 5
e) None of these
here,
total pipe=8
suppose,
pipe that fiils the tank =x
so pipes that empty the tnk=8-x
according to question,
in 8 hours fills 1 tank
in 1 hour fills 1/8 tank
so,x number of pipe feels x/8 part of tank in 1 hour
again,
(8-x) number of pipes empty 8-x/6 part of the tank in 1 hour
here,
x/8-(8-x)/ 6=1/5
or,x=4
so, pipe that fiils the tank =4

175. Two pipes A & B can fill a tank in 15 minutes & 20 minutes respectively. Both the pipes are opened together but after 4 minutes , pipe A is turned off. What is the total time required to fill the tank
a) 10 min 20 sec
b) 11 min 45 sec
c) 12 min 30 sec
d) 14 min 40 sec
Part filled in 4 mins = 4(1/15 + 1/20) = 7/15

Remaining part = 1 - 7/15 = 8/15

Part Filled by B in 1 min 1/20

So,

1/20 : 8/15 = 1: x

x = 10 min 40 sec

total time 14 min 40 sec

176. A & B can do a work in 8 days, B & C can do the same work in 12 days. A, B & C together can finish it in 6 days. A & C together will do it in :
a) 4 Days
b) 6 Days
c) 8 Days
d) 12 Days
in 1 day,

A + B = 1/8

B + C = 1/12

A + B + C = 1/6

Only A does in 1 day = (1/6 - 1/12) = 1/12

Only B does in 1 day = (1/8 - 1/12) = 1/24

Only C does in 1 day = (1/12- 1/24) = 1/24

So Both A & C do in 1 day = (1/12 + 1/24) = 3/24 = 1/8

So they complete the job in 8 days

177. 36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work?
a) 12
b) 18
c) 22
d) 24
36 men can do a work in 18 days
1 men can do a work in 18x36 days
27 men can do a work in 18x36/27 days=24 days

178. If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days?
a) 1
b) 7/2
c) 7
d) 49
7 spider make 7 webs in 7 days
7 spider makes 1 web in 7/7 days
1 spider makes 1 web in 7x7/7days=7 days

179. Which of the following is not a leap year?
a) 700
b) 800
c) 1200
d) 2000
সব গুলোই Leap year.

180. 4 mat-weavers can weave 4 mats 4 day. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?
a) 4
b) 8
c) 12
d) 16
4 mat-weavers can weave 4 mats in 4 day
so,8 mat-weavers can weave 8 mats in 8 day

181. Peter purchased a machine for Tk. 80,000 and spent Tk. 5000 on repair and Tk. 1000 on transport and sold it with 25% profit. At what price did he sell the machine?
a) Tk. 1,05,100
b) Tk. 1,06,250
c) Tk. 1,07,500
d) Tk. 1,17,500
total cost= (80,000+5000+1000) tk = 86,000 tk
at 25% profit,
if buying price 100 tk then selling price 125 tk
if buying price 1 tk then selling price 125/100 tk
if buying price 86,000 tk then selling price 125 x86,000/100 tk=107500 tk

182. If 3 men or 6 boys can do a piece of work in 10 days, working 7 hours a day; how many days will it take to complete a piece of work twice as large with 6 men and 2 boys working together for 8 hours a day?
a) 6
b) 7.5
c) 8.5
d) 9
here,
3 man=6 boys
so,1 men=6/3 boys
so,6 men=6x6/3=12 boys
so,6 men +2 boys=12+2=14boys
6 boys complete the work in 70 hours
1 boys complete the work in 70x6 hours
14 boys complete the work in 70x6/14 hours=30 hours
to do double work needs=30x2=60 hhours
total days=60/8=7.5 days

183. 10 men can survive for 24 days on 15 cans of food. How many total cans are needed for 8 men to survive 36 days?
a) 15
b) 16
c) 17
d) 18
e) none
১৫ টি ক্যান ১০ জন মানুষের যায় ২৪ দিন
১ টি ক্যান ১ জন মানুষের যায় ২৪ x ১০ /১৫ দিন =১৬দিন
১৬ দিনে ১ জন মানুষের যায় ১ টি ক্যান
১ দিনে ১ জন মানুষের যায় ১/১৬ টি ক্যান
৩৬ দিনে ৮ জন মানুষের যায় ১x৩৬x৮/১৬ টি ক্যান= ১৮ টি ক্যান

184. A machine can copy six pages in 9 second. How many pages can it copy in 24 minutes?
a) 12
b) 16
c) 36
d) 960
e) none
২৪ মিনিট=২৪ x ৬০ =
৯ সেকেন্ডে কপি করে ৬ পেজ
১ সেকেন্ডে কপি করে ৬/৯ পেজ
১৪৪০ সেকেন্ডে কপি করে ৬ x ১৪৪০/৯ পেজ=৯৬০পেজ

185. Asif can do a job 15 hours, and Russel can do the same job in 9 hours. If they start doing the job together at 6 am. At what time will Asif finish the job?
a) 2pm
b) 4pm
c) 5pm
d) 6pm
e) none
Asif does in 1 hour does 1/15 part of the work
Asif does in 3 hour does 3/15 or 1/5 part of the work
Russel does in 1 hour 1/9 part of the work
Russel does in 1 hour 3/9 or 1/3 part of the work
both of them together do (1/5+1/3) part of work=8/15 part of work
work remaining = (1-8/15)=7/15 part of work
asif does 1 or full part in 15 hours
Asif does 7/15 part 15x7/15=7 hours
so , work will finish at = 9a.m+7 hr=4 pm

186. At a store, Mimi paid Tk. 100 for 5 oranges. If oranges are usually sold at Tk. 216 per dozen, How much extra/ less did she pay?
a) Tk. 24 extra
b) Tk. 10 extra
c) Tk. 10 less
d) Tk. 24 less
e) None of these
real selling price of 1 orange is = 216/12=18 tk
price of 5 oranges= 5x18=90 tk
mini paid for 5 oranges=100 tk
so,she paid = (100-90)tk =10 tk extra

187. যদি ১০ জন লোক ৭ দিনে একটি কাজের অর্ধেক সম্পন্ন করতে পারে, তবে ঐ কাজটি ৫ দিনে সম্পন্ন করতে কতজন লোকের প্রয়োজন হবে?
a) ৬ জন
b) ১২ জন
c) ২৬ জন
d) ২৮ জন
১/২ কাজ করে ৭ দিনে
১ বা সম্পূর্ণ কাজ করে ৭x২=১৪ দিনে
কাজটি ১৪ দিনে সম্পন্ন করতে পারে ১০ জন
কাজটি ১ দিনে সম্পন্ন করতে পারে ১০x১৪ জন
কাজটি ৫ দিনে সম্পন্ন করতে পারে ১০x১৪/৫ জন=২৮ জন

188. If a sprinter takes 30 steps in 9 seconds, how many steps does he take in 54 seconds?
a) 130
b) 170
c) 173
d) 180
In 9 seconds, he takes 30 steps

In 54 seconds, he takes 30*54/9 steps

= 180 steps

189. How many ounces of water must be added to a 30-ounce solution that is 40 percent alcohol to dilute the solution to 25 percent alcohol?
a) 10
b) 15
c) 16
d) 18

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Unitary Method

Correct :

Wrong :

Irritable

Current World

Blog Category

Features

Recent Posts

Students

Questions

Model Test

Latest Posts

Useful Links

Contact Us