Bank PO Questions


Q:

Find the ratio of the areas of the incircle and circumcircle of a square.

A) 1:1 B) 1:2
C) 1:3 D) 1:4
 
Answer & Explanation Answer: B) 1:2

Explanation:

Let the side of the square be x. Then, its diagonal = {\color{Black}\sqrt{2x^{2}}=\sqrt{2}x}

Radius of incircle = 

Radius of circum circle= {\color{Black}\sqrt{{2}}\times \frac{x}{2}=\frac{x}{\sqrt{2}}}

Required ratio = 

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25 7233
Q:

What is the rate of interest p.c.p.a.?

I. An amount doubles itself in 5 years on simple interest.

II. Difference between the compound interest and the simple interest earned on a certain amount in 2 years is Rs. 400.

III. Simple interest earned per annum is Rs. 2000

A) I only B) II and III only
C) All I, II and III D) I only or II and III only
 
Answer & Explanation Answer: D) I only or II and III only

Explanation:

Thus I only or (II and III) give answer.

 Correct answer is (D)

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20 7219
Q:

A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: C) 3

Explanation:

Area of the park = (60 x 40) = 2400

Area of the lawn = 2109

Area of the crossroads = (2400 - 2109) = 291

Let the width of the road be x metres. Then,

  (x - 97)(x - 3) = 0
   x = 3.

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7 6963
Q:

A parallelogram has sides 30m and 14m and one of its diagonals is 40m long. Then its area is

A) 136 B) 236
C) 336 D) 436
 
Answer & Explanation Answer: C) 336

Explanation:

let ABCD be the given parallelogram

area of parallelogram ABCD = 2 x (area of triangle ABC)

now a = 30m, b = 14m and c = 40m

Area of triangle ABC = \inline {\color{Black}\sqrt{s(s-a)(s-b)(s-c)}}

                                   = \inline {\color{Black}\sqrt{42(12)(28)(2)}}= 168sq m

area of parallelogram ABCD = 2 x 168 = 336 sq m

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15 6960
Q:

The diagonal of a rectangle is  cm and its area is 20 sq. cm. The perimeter of the rectangle must be:

A) 18 B) 28
C) 38 D) 48
 
Answer & Explanation Answer: A) 18

Explanation:

 (or)   {\color{Black} l^{2}+b^{2}=41}

Also, 

{\color{Black} (l+b)^{2}=l^{2}+b^{2}+2lb}

          = 41 + 40 = 81

(l + b) = 9.

Perimeter = 2(l + b) = 18 cm.

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103 6911