4051 . 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.

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

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4052 . A jar contains 10 pencils, some sharpened and unsharpened. Each of the following could be the ratio of sharpened to unsharpened pencils except?

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

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Answer: Option E

Explanation:

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4053 . 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.

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

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Answer: Option D

Explanation:

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

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.

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Bangladesh Bank - Assistant Director - 2011

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

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সমন্বিত ৯ ব্যাংক | 07-01-2022 ||

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

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Bangladesh Bank - Assistant Director - 2013 ||

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.

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4058 . A fair six side dice is rolled. Find th probality of getting an odd number or a number less than 4.

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

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Answer: Option A

Explanation:

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

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.

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Bangladesh Bank - Assistant Director - 2011

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

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4061 . 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

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Bangladesh Bank - Assistant Director - 2013 ||

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.

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4063 . A closed rectangular tank contains a certain amount of water. When the tank is placed on its 3 ft by 4 ft side, the height of the water in the tank is 5 ft . Wen the tank is placed on another side of dimensions 4 ft by 5 ft , what is the height, in feet,

A. 3 feet
B. 5 feet
C. 6 feet
D. 4 feet
E. None of them

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Answer: Option A

Explanation:

Of the 3 sides, two of them are mentioned first which is 3 and 4 and the water is at 5 ft. When it is on another two sides, we now see that the other side itself is 5 ft. So, all the water is full in the tank. Only way the water can rise is upto rest side, which is 3 ft.

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Bangladesh Bank - Assistant Director - 2012

A. 251.2 cubic ft
B. 1,256 cubic ft
C. 5,024 cubic ft
D. 3,140 cubic ft
E. 4,410 cubic ft

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Answer: Option B

Explanation:

Volume of cylinder = πr2h

Volume of circular pool = π × ( 20/2)2 × 4 = 1256.64 ft3

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Bangladesh Bank - Assistant Director - 2011

A. 7,000
B. 24,000
C. 40,000
D. 168,000

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Answer: Option D

Explanation:

7 days consist of = 24*7 hours = 168 hours.

Since every hour the machine produces 1000 units of product P,

the total product during 168 hours is = 1000 x 168 = 168,000.

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সমন্বিত ৯ ব্যাংক | 07-01-2022 ||

4051 . 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.

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4052 . A jar contains 10 pencils, some sharpened and unsharpened. Each of the following could be the ratio of sharpened to unsharpened pencils except?

4053 . 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.

4054 . 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 :

4055 . 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?

4056 . 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 :

4057 . A farmer has two rectangular fields.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?

4058 . A fair six side dice is rolled. Find th probality of getting an odd number or a number less than 4.

4059 . A cube has a volume of 8M3 . If each side is doubled is length, what will be its new volume ?

4060 . 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?

4061 . 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 ?

4062 . 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?

4063 . A closed rectangular tank contains a certain amount of water. When the tank is placed on its 3 ft by 4 ft side, the height of the water in the tank is 5 ft . Wen the tank is placed on another side of dimensions 4 ft by 5 ft , what is the height, in feet,

4064 . A circular pool is filling with water . Assuming the water level will be 4ft deep and the diameter is 20 ft , what is the approximate volume of the water needed to fill the pool ?

4065 . A certain machine produces 1,000 units of product P per hour. Working contineously at this constant rate, this machine will produce how many units of product P in 7 days?

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