Mathematics

Aptitude Test of BB-Officer Recruitment Test

2015

01. A shop stocks four types of caps, there are 1/3 as many red caps as blue caps and 1/2 as many green caps as red caps. There are equal number of green caps and yellow caps. If there are 42 blue caps, then what percent of the total caps in the shop are blue? (Officer 15)

Solution:
Given that, blue caps= 42
Red caps = 42/3=14
Green caps=14/2=7
Yellow caps=7
Total caps=42+14+7+7=70
Percentage of blue caps= (42/70)×100=60%


2.The annual incomes and expenditures of a man and his wife are in the ratios 5:3 and 3:1,
respectively. If they decide to save equally and find a balance of Tk. 4000 at the end of the year, what was their income? (Officer 15)
Solution:
Let, their income be 5x and 3x and their expenditure be 3x and x. According to the question,
(5x+3x) - (3x + x)=4000 Or, 4x=4000
x=1000
So, Man’s income 5x=5×1000=Tk. 5000
and woman’s income 3x=3×1000=Tk. 3000
Ans: Tk. 5000 and Tk. 3000.

Aptitude Test of BB-AD Recruitment Test

2013

1.       If X and Y are consecutive positive integers, which of the following must be an even integers?

A.      X

B.      Y

C.      Xy/2

D.      x/y

E.       xy

2.       A company’s profits have double for each of the last 5 years. If the total profits for the last 5 years were Tk. 62 million, what were the profits in the first year?

A.      1

B.      2

C.      4

D.      5

E.       6

3.       Which of the following is equal to 456*(72) + 28*(456)?

A.      72*(456+28)

B.      456*(72+28)

C.      (456+28)*(456*72

D.      (28+456)*(72+456)

E.       (456+456)*(72+28)

4.       The lengths of the sides of a triangle are in the ratio of 3 to 5 to 6. If the perimeter of the triangle is 70, what is the length of the longest side?

A.      5

B.      6

C.      15

D.      25

E.       30

5.       How many “8” will you pass on the way when you count from 1 to 100?

A.      11

B.      20

C.      80

D.      70

E.       10

6.       A father said to his son, “I was as old as you are at the present at the time of your birth”. If the father’s age is 38 years now, the son’s age five years back was?

A.      14

B.      19

C.      33

D.      38

E.       29

7.       In a group of people solicited by a charity, 30% contributed Tk. 40 each, 45% contributed Tk. 20 each and the rest contributed Tk. 12 each. What percentage of the total amount came from people who gave Tk. 40 each?

A.      25%

B.      30%

C.      40%

D.      45%

E.       50%

8.       A manufacturer of pickles wants to make a profit of Tk. 75 when he sells 300 jars of pickles. It costs Tk. 0.65 each to make the first 100 jars of pickles and 0.55 each to make after the first 100. What price should he charge for the 300 jars of pickles?

A.      TK 75

B.      TK 175

C.      TK 225

D.      TK 240

E.       TK 250

9.       A student first reduced a number by 20% and then i increased it again by 20%. If the difference between the last number and the original number is 8, then the original number was?

A.      200

B.      250

C.      300

D.      450

E.       400

10.   35% of Tania’s income is equal to 25% of Nona’s income. The ratio of Tania’s income to Nona’s income is :

A.      7 : 5

B.      4 : 3

C.      4 : 7

D.      5 : 7

E.       3 : 4

11.   A watch which gains 5 seconds in 3 minutes was set right at 7 AM. In the afternoon of the same day when the true time is 1 PM, the watch will indicate?

A.      1 : 10 PM

B.      12 : 55 PM

C.      1 : 05 PM

D.      1 : 08 PM

E.       12 : 50 PM

12.   Which of these numbers are least like the others : 3, 5, 11, 14, 17

A.      5

B.      11

C.      14

D.      17

E.       21

13.   Insert the missing number: 16, 33, 67, 235, 271, (…….)

A.      371

B.      406

C.      451

D.      505

E.       543

14.   The numbers 13, 7, and 11 would enjoy the company of which of these numbers: 10, 15, 17, 12, 18?

A.      10

B.      15

C.      17

D.      12

E.       18

Which of the following designs is least like the other four?

 

15.   Which of the following is least like the others?

A.      Cube

B.      Sphere

C.      Pyramid

D.      Circle

E.       Cylinder

16.   Lamp A is less bright than Lamp B; Lamp B is brighter than Lamp C; Lamp C is as bright as Lamp D. Lamp B is brighter than Lamp D and Lamp D is brighter than Lamp A. Which lamp is the brightest?

A.      Lamp A

B.      Lamp B

C.      Lamp C

D.      Lamp D

E.       No Solution

17.   Mushfique is as tall as Mominul; Sakib is shorter than Tamim; Tamim is taller than Mominul and Mushfique is shorter than Sakib. Who is the shortest?

A.      Mushfique

B.      Mominul

C.      Sakib

D.      Tamim

E.       No Solution

18.   Masud has all his office supplies laid out in an orderly way on his desk. The pens are directly to the left of the memos. The lamp cannot be next to the stapler. The memos must be in the middle. The clipboard is to the left of the stapler. Which position is the lamp in (giving the positions numbers 1-5 from left to ight)?

A.      1

B.      2

C.      3

D.      4

E.       5

19.    Everyone has their morning beverages differently. Rumana and Deepti both take sugar in their drinks. Rumana, Osman and Mahboob all drink tea while the other three drink coffee. Masud and Mahboob have milk in their beverages. Those who don’t add anything, take beverages black. What does Waquqr drink?

A.      Tea with sugar

B.      Coffee with milk

C.      Black tea

D.      Coffee with sugar

E.       Black coffee

20.   A biker rode 45 miles in 180 minutes. What was his speed(mph) during this ride?

A.      17 mph

B.      15 mph

C.      12 mph

D.      9 mph

E.       4 mph

21.   A, B and C do a job in 20, 30 and 60 days respectively. In how many days can A do the job if he is assisted by B and C? ( Written math, 2013)  Answer: 15 Days

  A bus is travelling with 52 passengers. When it arrives at a stop, Y passengers get off and 4 get on, at the next stop one-third of the passengers get off and 3 on. There are now 25 passengers. Find out how many passengers got off at the first stop? (Written math,2013)Answer: 23

23.   An Eskimo leaves its igloo and travels 3 kilometers north, then 8 kilometers east and finally 3 kilometers north to reach the North Pole. How many kilometers does he have to travel to return to his igloo in a straight line? (Written math,2013) Answer: 10 kilometer