6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A room of 5m 44cm long and 3m 74cm broad is to be paved with squre tiles. Find the least number of squre tiles required to cover the floor.

A) 136	B) 146
C) 166	D) 176

Answer & Explanation Answer: D) 176

Explanation:

area of the room = 544 x 374 sq.cm

size of largest square tile = H.C.F of 544cm and 374 cm= 34 cm

area of 1 tile = 34x34 sq cm

no. of tiles required = (544 x 374) / (34 x 34) = 176

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Filed Under: Area
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Q:

Find the odd word/letters/number pair from the given alternatives.

(A) AE (B) CG (C) JN (D) MO

A) A	B) B
C) C	D) D

Answer & Explanation Answer: D) D

Explanation:

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Q:

What will be the average of the first 7 positive odd numbers divisible by 5?

A) 45	B) 35
C) 40	D) 32

Answer & Explanation Answer: B) 35

Explanation:

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Q:

At what time between 5.30 and 6 will the hands of a clock be at right angles?

A) (43 + 5/11) min past 5	B) (43 + 7/11) min pats 5
C) 5	D) 7

Answer & Explanation Answer: B) (43 + 7/11) min pats 5

Explanation:

At 5 o'clock, the hands are 25 min. spaces apart.
To be at right angles and that too between 5.30 and 6, the minute hand has to gain (25 + 15) = 40 min. spaces.

55 min. spaces are gained in 60 min

40 min. spaces are gained in $\frac{60}{55} \times 40$ min

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Q:

If X : Y : Z = 3 : 4 : 5, then what will be the ratio of (X/Y) : (Y/Z) : (Z/X)?

A) 5 : 4 : 3	B) 30 : 40 : 27
C) 45 : 48 : 100	D) 20 : 15 : 12

Answer & Explanation Answer: C) 45 : 48 : 100

Explanation:

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Filed Under: Ratios and Proportions
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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 = $\sqrt{2 x^{2}} = \sqrt{2 x}$

Radius of incircle = $\frac{x}{2}$

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

Required ratio = $\frac{{πx}^{2}}{4} : \frac{{πx}^{2}}{2} = \frac{1}{4} : \frac{1}{2} = 1 : 2$

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Q:

In the following question, select the odd letter/letters from the given alternatives.

A) BFJN	B) GKOS
C) LPQV	D) MQU

Answer & Explanation Answer: C) LPQV

Explanation:

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Q:

A and B started a business jointly A's investment was thrice the investment of B and the period of his investment was two times the period of investment of B. If B received Rs. 4000 as profit, then their total profit is :

A) 22000	B) 28000
C) 32000	D) 36000

Answer & Explanation Answer: B) 28000

Explanation:

Suppose B invested Rs. x for y months. Then, A invested Rs. 3x for 2y months.

So, A : B = (3x * 2y) : (x * y) = 6xy : xy = 6 : 1.

B's profit : Total profit = 1 : 7.

Let the total profit be Rs. x Then, 1/7 = 4000/x or x = 28000.

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Quantitative Aptitude - Arithmetic Ability Questions

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