2146 . If the hypotenuse of an isosceles right triangle has length of 8 , then the area of the triangle is

A. 4
B. 4√2
C. 16
D. 8√2

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Answer: Option C

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Probationary Officer | 31.03.2017 ||

A. 22 : 18 : 25
B. 22 : 20 : 25
C. 10 : 9 : 7
D. 11 : 10 : 8

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Answer: Option B

Explanation:

ধরি, C এর ইনকাম 100 টাকা

B এর ইনকাম ( 100 - 100 এর 20%) = 80 টাকা

A এর ইনকাম ( 80 + 80 এর 10 %) = 88 টাকা।

A : B : C = 88 : 80 : 100 = 22 : 20 : 25

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2148 . If the interest of Tk. M at M% in 4 years is Tk. M, then M = ?

A. 20
B. 25
C. 30
D. 32

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Answer: Option B

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জনতা ব্যাংক || অফিসার (আরসি) (28-06-2024) || 2024

A. 25/3%
B. 29/3%
C. 31/3%
D. 20/3%

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Answer: Option A

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2150 . If the langth of a rectangle is increased by 20% and width is decreased by 20% what is the change in area of rectangle ?

A. unchanged
B. increases by 4%
C. increases by 5%
D. decreased by 4%

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Answer: Option D

Explanation:

Let's assume the length of the rectangle is L and the width is W.

Then the original area of the rectangle = L x W

After the increase in length by 20%, the new length = L + 0.2L = 1.2L
After the decrease in width by 20%, the new width = W - 0.2W = 0.8W

So, the new area of the rectangle = (1.2L) x (0.8W) = 0.96LW

Therefore, the new area of the rectangle is 96% of the original area.

Answer: 96% of the original area.

decreased by 4%

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Bangladesh bank - officer ( general) - 27.04.2018

A. 3
B. 4
C. 5
D. 6

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Answer: Option C

Explanation:

Here, hypotenuse = √(3² + 4²⁾ = √(9 + 16) = √25 = 5 [using pythagorean theorem]

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2152 . If the legs of a right triangle is 3 and 4, then the length of hypotenuse is approximately:

A. 3
B. 4
C. 5
D. 6

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Answer: Option C

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2153 . If the length an edge in a cube is $3 \sqrt{3}$ , what is the length of the longest diagonal?

A. $3 \sqrt{6}$
B. $2 \sqrt{3}$
C. $2$
D. $9$

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Answer: Option D

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SBAC Bank PLC || Trainee Junior Officer (28-09-2024) ||

A. 44%
B. 24%
C. 36%
D. 40%
E. None of these

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Answer: Option A

Explanation:

Short - cut Formula :

A + B + AB/100

20 + 20 ( 20× 20) / 100 = 44

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Bangladesh Bank - Assistant Director - 2009

A. 20%
B. 12%
C. 8%
D. none of these

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Answer: Option B

Explanation:

Let the initial length and width be L & W respectively.

Then, initial area = L x W

Length after 40% increament = 1.4L

Width after 20% decreament = 0.8W

New area = 1.4L x 0.8W = 1.12 (L x W)

So, area will increase by 12%.

[Shortcut: ( + 40) + ( - 20) + ( + 40)x( - 20)/100 = + 12%]

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2156 . If the length of a rectangular field is 30 feet more than its width and the perimeter is 380 feet, the area of the field is (in sq. feet):

A. 11400
B. 8800
C. 11800
D. 9400

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Answer: Option B

Explanation:

Let, the width = x feet

the length = x + 30 feet

We know, perimeter = 2(Length + breadth)

Perimeter = 2(x + 30 + x)

According to the question

2(x + 30 +x) = 380

=> 4x + 60 = 380

=> 4x = 380 – 60

x = 80 feet.

The length is = 80 + 30 = 110 feet

Area =110 x 80 Sq. feet

= 8,800 Sq. feet

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2157 . If the length of each of the sides of three square plots is increased by 50 percent, how much does the watch gain in one day?

A. 375%
B. 200%
C. 150%
D. 125%

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Answer: Option D

Explanation:

Shortcut method:

a+b+(ab/100)

=50+50+(50×50)/100

=125%

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2158 . If the length of rectangle A is one-half the length of rectangle B, and the width of rectangle A is one-half the width of rectangle B, what is the ratio of the area of rectangle A to the area of rectangle B?

A. 1/4
B. 1/2
C. 1/1
D. 2/1

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Answer: Option A

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2159 . If the length of rectangle B and the width of rectangle A is one-half the width of rectangle B, what is the ratio of the area of rectangle A to the area of rectangle B?

A. 1/4
B. 1/2
C. 1/1
D. 2/1

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Answer: Option D

Explanation:

Let length of rectangle B be L and width be H
So, for rectangle A, length = L/2 and width = H/2

So, area of A/area of B = (L/2*H/2)/L*H = 1/4.

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Bangladesh bank - officer ( general) - 27.04.2018

A. Decreased by 9%
B. Increased by 9%
C. Decreased by 18%
D. Increased by 16%

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Answer: Option A

Explanation:

Short Cut Formula

A + B + AB/100 = 30 - 30 + 30*( - 30)/100 = - 9.

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Bangladesh Bank - Assistant Director - 2010

2146 . If the hypotenuse of an isosceles right triangle has length of 8 , then the area of the triangle is

2147 . If the income of A is 10% more than that of B and the income of B is 20% less than that of C, then the income of A, B and C respectively are in the ratio

2148 . If the interest of Tk. M at M% in 4 years is Tk. M, then M = ?

2149 . If the interest on Tk.1200 be more than the interest on Tk.1000 by Tk.50 in 3 years, the rate percent is--

2150 . If the langth of a rectangle is increased by 20% and width is decreased by 20% what is the change in area of rectangle ?

2151 . If the legs of a right triangle is 3 and 4, then the length of hypotenuse is approximately :

2152 . If the legs of a right triangle is 3 and 4, then the length of hypotenuse is approximately:

2154 . If the length and width of a rectangular garden plot were each increased by 20 percent. What would be the percent increase in the area of the plot ?

2155 . If the length of a rectangle is increased by 40% and the width is decreased by 20%, the area of the rectangle will increase by?

2156 . If the length of a rectangular field is 30 feet more than its width and the perimeter is 380 feet, the area of the field is (in sq. feet):

2157 . If the length of each of the sides of three square plots is increased by 50 percent, how much does the watch gain in one day?

2158 . If the length of rectangle A is one-half the length of rectangle B, and the width of rectangle A is one-half the width of rectangle B, what is the ratio of the area of rectangle A to the area of rectangle B?

2159 . If the length of rectangle B and the width of rectangle A is one-half the width of rectangle B, what is the ratio of the area of rectangle A to the area of rectangle B?

2160 . If the length of rectangle is increased by 30% and the width is decreased by 30%, then the area will be

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