6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 cu.m , then the rise in the water level in the tank will be:

A) 20 cm	B) 25 cm
C) 35 cm	D) 50 cm

Answer & Explanation Answer: B) 25 cm

Explanation:

Total volume of water displaced =(4 x 50) cu.m = 200 cu.m

Rise in water level = $(\frac{200}{40 \times 20})$ =0.25m = 25cm

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Filed Under: Volume and Surface Area

64 51122

Q:

∆DEF is right angled at E. If secD = 17/8, then what is the value of cosF?

A) 15/17	B) 15/8
C) 8/17	D) 17/15

Answer & Explanation Answer: A) 15/17

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 51072

Q:

The G.C.D of 1.08, 0.36 and 0.9 is

A) 0.03	B) 0.9
C) 0.18	D) 0.108

Answer & Explanation Answer: C) 0.18

Explanation:

Given numbers are 1.08 , 0.36 and 0.90

H.C.F of 108, 36 and 90 is 18 [ $∵$ G.C.D is nothing but H.C.F]

Therefore, H.C.F of given numbers = 0.18

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Filed Under: HCF and LCM

138 50999

Q:

Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?

A) 3.6	B) 6
C) 18	D) Cannot be determined

Answer & Explanation Answer: B) 6

Explanation:

Explanation:

Let rate = R% and time = R years.

Then, $(\frac{1200 * R * R}{100}) = 432$

$12 R^{2} = 432$

=> $R^{2} = 36 \Leftrightarrow R = 6$

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Filed Under: Compound Interest

118 50982

Q:

If 20 men can build a wall 56 meters long in 6 days , what length of a similar wall can be built by 35 men in 3 days?

A) 46	B) 47
C) 48	D) 49

Answer & Explanation Answer: D) 49

Explanation:

Let the required length be x meters

More men, More length built (Direct proportion)

Less days, Less length built (Direct Proportion)

$\begin{array}{r} \begin{matrix} M e n & 20 : 35 \end{matrix} \\ \begin{matrix} D a y s & 6 : 3 \end{matrix} \end{array}\} ⋮ ⋮ 56 : x$

=> (20 x 6 x X)=(35 x 3 x 56)

=> x = 49

Hence, the required length is 49 m.

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Filed Under: Chain Rule

156 50971

Q:

ΔDEF is right angled at E. If cosecD = 25/24, then what is the value of cosF ?

A) 25/7	B) 24/7
C) 24/25	D) 7/24

Answer & Explanation Answer: C) 24/25

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 50919

Q:

If A's height is 40% less than that of B, how much percent B's height is more than that of A?

A) 66.66%	B) 76.66%
C) 96.66%	D) 86.66%

Answer & Explanation Answer: A) 66.66%

Explanation:

Excess of B's height over A's = [(40/(100 - 40)] x 100% = 66.66%

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Filed Under: Percentage

198 50898

Q:

A certain sum of money amounts to Rs 1008 in 2 years and to Rs 1164 in 3 ½ years. Find the sum and the rate of interest.

A) 800, 14%	B) 800, 13%
C) 800, 12%	D) 800, 19%

Answer & Explanation Answer: B) 800, 13%

Explanation:

S.I. for 1 ½ years = Rs (1164 - 1008) = Rs 156 .

S.I. for 2 years = Rs (156 x $\frac{2}{3}$ x 2)= Rs 208.

Therefore, Principal = Rs (1008 - 208) = Rs 800.

Now, P = 800, T= 2 and S.I. = 208.

Therefore, Rate = (100 x S.I.) / (P x T) = [ (100 x 208)/(800 x 2)]% = 13%

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Filed Under: Simple Interest
Exam Prep: GRE

145 50866

Quantitative Aptitude - Arithmetic Ability Questions

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