6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Find the volume (in cm3) of a hemisphere of diameter 7 cm.

A) 77	B) 63
C) 89.83	D) 54.13

Answer & Explanation Answer: C) 89.83

Explanation:

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

1 30071

Q:

A sum of money becomes 7/6 of itself in 3 years at a certain rate of simple interest. The rate per annum is ?

A) 45/7 %	B) 50/9 %
C) 51/7 %	D) 47/ 9 %

Answer & Explanation Answer: B) 50/9 %

Explanation:

Let sum = S. Then, amount = 7S/6

S.I. = 7S/6 - S = S/6; Time = 3 years.

Rate = (100 x S) / (S x 6 x 3) = 5 5/9 = 50/9 %.

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Filed Under: Simple Interest
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

28 30071

Q:

Find the length of a rope by which a cow must be tethered in order that it may be able to graze an area of 9856 sq meters.

A) 56m	B) 16m
C) 14m	D) 76m

Answer & Explanation Answer: A) 56m

Explanation:

clearly the cow will graze a circular field of area 9856 sq m and radius equal to the length of the rope.

Let the length of the rope be r mts

then, ${πr}^{2} = 9856 \Rightarrow r^{2} = \frac{9856 \times 7}{22} = 3136 \Rightarrow r = 56 m$

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

31 30017

Q:

A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years ?

A) 2 : 3 : 5	B) 3 : 4 : 7
C) 5 : 6 : 4	D) 1 : 3 : 5

Answer & Explanation Answer: B) 3 : 4 : 7

Explanation:

A : B : C = (40000 x 36) : (80000 x 12 + 40000 x 24) : (120000 x 24 + 40000 x 12)

= 144 : 192 : 336

= 3 : 4 : 7.

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Filed Under: Partnership

29 29965

Q:

Find the missing value denoted by '?'

3 : 243 :: 5 : ?

A) 625	B) 465
C) 3125	D) 425

Answer & Explanation Answer: C) 3125

Explanation:

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

5 29890

Q:

3 pumps working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?

A) 9	B) 10
C) 11	D) 12

Answer & Explanation Answer: D) 12

Explanation:

Let the required no of working hours per day be x.

More pumps , Less working hours per day (Indirect Proportion)

Less days, More working hours per day (Indirect Proportion)

$\begin{array}{r} \begin{matrix} P u m p s & 4 : 3 \end{matrix} \\ \begin{matrix} D a y s & 1 : 2 \end{matrix} \end{array}\} ⋮ ⋮ 8 : x$

=> (4 * 1 * x) = (3 * 2 * 8)

=> x=12

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Filed Under: Chain Rule

47 29782

Q:

The surface area of a cube is 1734 sq. cm. Find its volume

A) 2334 cubic.cm	B) 3356 cubic.cm
C) 4913 cubic.cm	D) 3478 cubic.cm

Answer & Explanation Answer: C) 4913 cubic.cm

Explanation:

Let the edge of the cube bea. Then,

6 $a^{2}$ = 1734

=> a = 17 cm.

Volume = $a^{3}$ = $17^{3}$ = 4193 cu.cm

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Filed Under: Volume and Surface Area

56 29759

Q:

A speaks truth in 75% of cases and B in 80% of cases. In what percentage of cases are they likely to contradict each other, narrating the same incident

A) 30/100	B) 35/100
C) 45/100	D) 50/100

Answer & Explanation Answer: B) 35/100

Explanation:

Let A = Event that A speaks the truth

B = Event that B speaks the truth

Then P(A) = 75/100 = 3/4

P(B) = 80/100 = 4/5

P(A-lie) = $1 - \frac{3}{4}$ = 1/4

P(B-lie) = $1 - \frac{4}{5}$ = 1/5

Now, A and B contradict each other =[A lies and B true] or [B true and B lies]

= P(A).P(B-lie) + P(A-lie).P(B)

= $(\frac{3}{5} * \frac{1}{5}) + (\frac{1}{4} * \frac{4}{5}) = \frac{7}{20}$

= $(\frac{7}{20} * 100)$ = 35%

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Filed Under: Probability

64 29739

Quantitative Aptitude - Arithmetic Ability Questions

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