61 . A collection of books went on sale and 2/3 of these were sold for Tk.2.30 each. None of the 36 remaining books were sold. What was the total amount received for the books that were sold?

A. 180
B. 135
C. 90
D. 60
E. None of these

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Answer: Option E

Explanation:

Remaining books = 1 - 2/3 = 1/3

1/3 of the books = 36

So, 2/3 of the books = 36 x (2/3) / (1/3) = 72

Then, total amount received from the sold books = 72 x 2.3 = 165.6 TK.

62 . A company's profits have doubled 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

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Answer: Option B

Explanation:

Let, first year profit = x, as profit have doubled for each year, so

2nd year profit = 2x

3rd year profit = 2x ×2 = 4x

4th year profit = 4x×2 = 8x

5th year profit = 8x × 2 = 16x

Total profit = x + 2x + 4x + 8x + 16x = 31x

According to the question

31x = 62

x = 2

Bangladesh Bank - Assistant Director - 2013 ||

A. 250
B. 335
C. 300
D. 320
E. None of these

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Answer: Option B

Explanation:

Profit on first 1000 TK sale = 6% of 1000 = 60 TK.

Profit on the rest (6000 - 1000 = 5000) TK sale = 55×5000/1000 = 275 TK.

Total profit = 60 + 275 = 335 TK

64 . A cube has a volume of 8M3 . If each side is doubled is length, what will be its new volume ?

A. 16 M 3
B. 24 M 3
C. 32 M 3
D. 48 M 3
E. 64 M 3

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Answer: Option E

Explanation:

The volume of a cube is calculated by cubing the length of its sides. If each side is doubled in length, the new volume can be found by cubing the new side length.

Given that the original volume is 8M^3, we need to find the new volume when each side is doubled.

The side length of the cube can be calculated as the cube root of the volume: side length = ∛(8M^3) = 2M.

When each side is doubled in length, the new side length becomes 2 * 2 = 4M.

The new volume of the cube can be calculated by cubing the new side length: new volume = (4M)^3 = 64M^3.

Therefore, the new volume of the cube is 64M^3.

The correct answer is E. 64M^3.

Bangladesh Bank - Assistant Director - 2011

A. 2:3
B. 3:4
C. 5:6
D. 1:6

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Answer: Option A

Explanation:

জাতীয় নিরাপত্তা গোয়েন্দা সংস্থা-(NSI) Assistant Director- Research officer &amp- Assistant Programmer-০৮/১০/২০২১

A. 2k
B. 6k
C. 7k
D. 8k
E. None of these

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Answer: Option C

Explanation:

Length of the smaller field = L
Width of the smaller field = W
According to the information given, the larger field has twice the length and four times the width of the smaller field. Therefore:

Length of the larger field = 2L
Width of the larger field = 4W
Now, we can calculate the areas of both fields:

Area of the smaller field = L * W = K (given)

Area of the larger field = (2L) * (4W) = 8LW

To find the difference in the areas of the larger and smaller fields, subtract the area of the smaller field from the area of the larger field:

Difference in areas = Area of the larger field - Area of the smaller field Difference in areas = 8LW - K

Now, we can express this difference in terms of the dimensions of the smaller field:

Difference in areas = 8(LW) - K

Since we are given that the area of the smaller field is K, we can substitute this value:

Difference in areas = 8(K) - K

Now, Difference in areas = 8K - K Difference in areas = 7K

So, the area of the largest field is greater than the area of the smaller field by 7K.

67 . A father said to this 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 year's back was :

A. 14
B. 19
C. 33
D. 38
E. 29

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Answer: Option A

Explanation:

Let, sons present age = x years

So, son is born x year ago

Then father age was x years

So, fathers present age (x + x) or 2x years

2x = 38

x = 19

5 years back in was (19 - 5) = 14 years

Bangladesh Bank - Assistant Director - 2013 ||

A. 20
B. 24
C. 36
D. 48

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Answer: Option B

Explanation:

The lowest possible number of students in the class will be LCM of 8 and 12
8=2×2×2

12=2×2×3

LCM(8,12)=2×2×2×3=24

সমন্বিত ৯ ব্যাংক | 07-01-2022 ||

A. 20 days
B. 22.5 days
C. 25 days
D. 30 days
E. 15 days

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Answer: Option B

Explanation:

Let, A can finish the job in x days

B can finish the job in 3x days.

According to the question

3x - x = 60

2x = 60

x = 30 days

B can finish the job in 3 × 30 or, 90 days

In 1 day A can finish 1/30 th job

In 1 day B can finish 1/90 th job

In 1 day both A and B can finish 1/30 + 1/90 th job

= 3 + 1 /90 = 2/45 th

both A and B can finish the job in 1/2/45 = 22.5 days.

Bangladesh Bank - Assistant Director - 2011

A. 20 days
B. 21 days
C. 22 days
D. 24 days

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Answer: Option D

Explanation:

Senior Officer- 8 Bank Recruitment Test 31-08-2018

A. 4 : 1
B. 3 : 2
C. 1 : 1
D. 9 : 1
E. 5 : 1

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Answer: Option E

Explanation:

72 . A leader rests against a wall is perpendicular to the ground if the bottom of the ladder is 4m away from the bottom of the wall, while the top of the ladder is at a height of 3m. What is the length of the ladder.

A. 7m
B. 35m
C. 5m
D. 25m

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Answer: Option C

Explanation:

Applying the Pythagorean theorem:

L^2 = (distance to the wall)^2 + (height)^2 L^2 = 4^2 + 3^2 L^2 = 16 + 9 L^2 = 25

Taking the square root of both sides:

L = √25 L = 5

Therefore, the length of the ladder is 5 meters.

জাতীয় নিরাপত্তা গোয়েন্দা সংস্থা-(NSI) Assistant Director- Research officer &amp- Assistant Programmer-০৮/১০/২০২১

A. 7
B. 16
C. 9
D. 8

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Answer: Option D

Explanation:

40 ঘন্টার জন্য regular pay ( 30 × 40) টাকা = 1200 টাকা।

Overtime এর টাকার পরিমান ( 1680 - 1200) টাকা = 480 টাকা

যেহেতু, Overtime এর প্রতিদিনের টাকার পরিমান Regular Payment এর দ্বিগুন , সেহেতু overtime এর সময় ( 480 ÷ ( 30 × 2) ) ঘন্টা = 8 ঘন্টা

74 . A man and a boy together can complete a job in 81 days. Two man and three boys together can complete the job in 36 days. In how many can 4 men working together complete the job?

A. 30
B. 36
C. 38
D. 21
E. 27

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Answer: Option E

Explanation:

Man = M , Boy = B

1M + 1B = 1/81

81M + 81B = 1 work

2M + 3B = 1/36

72M + 108B = 1 work

81M + 81B = 72M + 81B

9M = 27B

1M = 3B

4M = 12B

12B = 4/12 x 81 Days

4M = 27 Days

75 . A man ate 100 bananas in five days, each eating 6 more than the previews day. How many bananas did he eat on the first day ?

A. 6
B. 7
C. 10
D. 8
E. None of them

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Answer: Option D

Explanation:

x + (x + 6) + (x + 12) + (x + 18) + (x + 24) = 100 or, x = 8

Bangladesh Bank - Assistant Director - 2012

61 . A collection of books went on sale and 2/3 of these were sold for Tk.2.30 each. None of the 36 remaining books were sold. What was the total amount received for the books that were sold?

62 . A company's profits have doubled 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 ?

63 . A company makes a profit of 6% on its first Tk.1000 of sales each day and Tk.55 per thousand on all sales in excess of Tk.1000 for that day. How much profit will the company make in a day when sales are Tk.6000?

64 . A cube has a volume of 8M3 . If each side is doubled is length, what will be its new volume ?

65 . A fair six side dice is rolled. Find th probality of getting an odd number or a number less than 4.

66 . A farmer has two rectangular fields. The larger field has twice the length and four times the width of the smaller field. If the smaller field has area k, then the area of the larger field is greater than the area of the smaller field by what amount?

67 . A father said to this 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 year's back was :

68 . A gym class can be divided unto 8 teams with an equal number of players on each team or into 12 teams with an equal number of players on each team. What is the lowest possible number of students in the class?

69 . 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 :

70 . A is twise as good as B and together they finish a piece of work in 16 days. The number of days taken by A alone to finish the ork is.

71 . A jar contains 10 pencils, some sharpened and unsharpened. Each of the following could be the ratio of sharpened to unsharpened pencils except?

72 . A leader rests against a wall is perpendicular to the ground if the bottom of the ladder is 4m away from the bottom of the wall, while the top of the ladder is at a height of 3m. What is the length of the ladder.

73 . A man's regular pay Tk. 30 per hour up to 40 hours. Overtime is twice the regular payment. If he was paid Tk. 1680, how many hours overtime did he work?

74 . A man and a boy together can complete a job in 81 days. Two man and three boys together can complete the job in 36 days. In how many can 4 men working together complete the job?

75 . A man ate 100 bananas in five days, each eating 6 more than the previews day. How many bananas did he eat on the first day ?

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