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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24 6488
Q:

If the diagonal of a rectangle is 17cm long and its perimeter is 46 cm. Find the area of the rectangle.

A) 110 B) 120
C) 130 D) 140
 
Answer & Explanation Answer: B) 120

Explanation:

let length = x and breadth = y then

2(x+y) = 46    x+y = 23

x²+y² = 17² = 289

now (x+y)² = 23²

x²+y²+2xy= 529

289+ 2xy = 529

 xy = 120

area = xy = 120 sq.cm

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20 6343
Q:

The length of a rectangular hall is 5m more than its breadth. The area of the hall is 750 m. The length of the hall is

A) 20 B) 25
C) 30 D) 35
 
Answer & Explanation Answer: B) 25

Explanation:

Let breadth = x m

Then, length = (x+5)m

x(x+5) = 750 

x² + 5x - 750= 0

(x+30)(x-25)= 0

x = 25

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15 6284
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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11 6129
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 6076