1 . 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

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2 . 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?

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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3 . Difference between two numbers is 2 and their sum is 4. Then what is the difference of their square ?

A. 7
B. 8
C. 6
D. 5
E. None of them

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Answer: Option B

Explanation:

x + y = 4
x - y = 2
x = 3;y = 1
x2 - y2 = 8

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Bangladesh Bank - Assistant Director - 2012

A. 64
B. 128
C. 204
D. 256
E. 552

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Answer: Option D

Explanation:

Normally a chess board has 8 pawns and its squares are 82 or 64.

If pawn are 16 the square become = 162 = 256

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Bangladesh Bank - Assistant Director - 2011

A. 15 sq miles
B. 18 sq miles
C. 21 sq miles
D. 30 sq miles
E. 36 sq miles

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Answer: Option D

Explanation:

Peole living per square mile = 61, 000

Total population in Mirpur = 1822195

Approximately area of Mirpur = 1822195/61000 = 29.87 sq.mile = 30 sq.mile

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Bangladesh Bank - Assistant Director - 2013 ||

A. 7
B. 9
C. -9
D. 7 or -9
E. 8

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Answer: Option D

Explanation:

Let the number be x.

Then, x^2 + 2x = 63 [according to the question]

or, x^2 + 2x - 63 = 0

or, x^2 + 9x - 7x - 63 = 0

or, (x + 9) (x - 7) = 0

Therefore, x = 7 or - 9.

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Bangladesh Bank - Assistant Director - 2011

A. Tk. 42
B. Tk. 32
C. Tk. 50
D. Tk. 30

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Answer: Option A

Explanation:

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8 . A certain type of wall for a house costs Tk. 10.50 per square yard. What does it cost to make a wall 4 yards wide and 60 feet long?

A. Tk. 800
B. Tk. 840
C. Tk. 2520
D. Tk. 3240

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Answer: Option B

Explanation:

60 feet = 20 yards

area of wall = 4 yards * 20 yards = 80 square yard

1 square yard require = 10.50 tk

80 square yard require = 10.50*80 = 840 tk (Ans)

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9 . A farmer has two rectangular fields. The larger field has twice the length and four times the width of the smaller field. If the area of the smaller field is K units, what is the area of the larger field?

A. 2K
B. 6K
C. 7K
D. 8K

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Answer: Option D

Explanation:

Let the length and width of the smaller field be L and W respectively.

So, area of the smaller field, K = L×W

Now, area of the larger field = 2L×4W = 8 L×W = 8K

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10 . A field is rectangular and its width is 1/3 as long as its length. What is the area of the field if the length of the field is 120 yeards?

A. 480 square yards
B. 2,400 square yards
C. 4,800 square yards
D. 5,000 square yards

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Answer: Option C

Explanation:

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11 . A garden of 100 meter length and 60 meter width has a walkway of 2 meter width on every side . What is the area of the garden, in square meters , excluding the walkway ?

A. 5684
B. 6000
C. 624
D. 5376

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Answer: Option D

Explanation:

Area of the garden including walkway = ( 100 * 60 ) = 6, 000 sq.m

Area of garden excluding walkway = ( 100 - 4 ) *( 60 - 4 ) = 96 * 56 = 5376.

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Bangladesh Bank - Assistant Director - 2010

A. 700
B. 650
C. 375
D. 500

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Answer: Option D

Explanation:

Area including path = 60 x 20 = 1200 sq. m.

Length without path = 60 - (5x2) = 50 m

Width without path = 20 - (5x2) = 10 m

Area without path = 50 x 10 = 500 sq. m.

Area of the path = 1200 - 500 = 700 sq. m.

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13 . A picture is copied onto a sheet of paper, which measures 8.5 inches by 10 inches. A border of 1.5 inch is left all around. What is the area , in squar inches , covered by yhe picture ?

A. 76
B. 65
C. 38.5
D. 59.5
E. None

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Answer: Option C

Explanation:

Measurements excluding borders are (8.5 - 2×1.5 = 5.5) inches by (10 - 2×1.5 = 7) inches.

So, area of the picture = 5.5×7 = 38.5 in^2

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Probationary Officer | 31.03.2017 ||

A. 24
B. 16
C. 12
D. 8

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Answer: Option B

Explanation:

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A. 78
B. 132
C. 204
D. 216

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Answer: Option C

Explanation:

best des
Area of the rectangle without the road = 16×12 = 192 sq. m.

Length with road on both side = 16 + 2×3 = 22 m.

Width with road on both side = 12 + 2×3 = 18 m.

Area of the rectangle including the road = 22×18 = 396 sq. m.

Area of the road = 396 - 192 = 204 sq. m.

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1 . 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,

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2 . 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?

3 . Difference between two numbers is 2 and their sum is 4. Then what is the difference of their square ?

4 . How many squares are there in a chess board if each player has got 16 pawns to play with ?

5 . If in 2000 there were 61,000 people living per square mile in Mirpur, what is the approximate area of Mirpur ?

6 . Square of a number plus two times the number equal 63. What is the number ?

7 . A brand of paint costs Tk. 14 per liter and 1 liter of paint will cover an area of 150 square feet. what is the minimum cost of paint needed to cover the 4 walls of a rectangular room that ix 12 feet wide, 16 feet long and 8 feet high?

8 . A certain type of wall for a house costs Tk. 10.50 per square yard. What does it cost to make a wall 4 yards wide and 60 feet long?

9 . A farmer has two rectangular fields. The larger field has twice the length and four times the width of the smaller field. If the area of the smaller field is K units, what is the area of the larger field?

10 . A field is rectangular and its width is 1/3 as long as its length. What is the area of the field if the length of the field is 120 yeards?

11 . A garden of 100 meter length and 60 meter width has a walkway of 2 meter width on every side . What is the area of the garden, in square meters , excluding the walkway ?

12 . A gerden is 60m long and 20m wide. Inside the garden there is a 5m wide path around it.The area of the path is in square meter.

13 . A picture is copied onto a sheet of paper, which measures 8.5 inches by 10 inches. A border of 1.5 inch is left all around. What is the area , in squar inches , covered by yhe picture ?

14 . A rectangle and a square have the same area. The square has a perimeter of 32 meters and the length of the rectangle is 4 meters. What is the width of the rectangle (in meters)?

15 . A rectangle area of 16 meters by 12 meters. is surrounded by a road of 3 meters wide. The area of the road is:

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