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
Exam Prep: Bank Exams
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62 43134

Q:

If a number 657423547X46 is divisible by 11, then find the value of X.

A) 7	B) 9
C) 8	D) 6

Answer & Explanation Answer: B) 9

Explanation:

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

1 43089

Q:

The length of a diagonal in cm of a rectangle of length 9 cm and width 5 cm is

A) 106	B) ±106
C) 2√14	D) ±214

Answer & Explanation Answer: A) 106

Explanation:

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1 43087

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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Filed Under: Clocks
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73 42961

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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83 42671

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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Filed Under: Partnership

32 42559

Q:

In a 100 m race, A can give B 10 m and C 28 m. In the same race B can give C

A) 18 m	B) 20 m
C) 27 m	D) 9m

Answer & Explanation Answer: B) 20 m

Explanation:

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Filed Under: Races and Games

35 42528

Q:

Find the curved surface area (in cm2) of a right circular cylinder of diameter 14 cm and height 8 cm.

A) 308	B) 352
C) 327	D) 371

Quantitative Aptitude - Arithmetic Ability Questions

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