6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Two persons K and L can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days ?

A) 1/6	B) 1/3
C) 2/3	D) 1/18

Answer & Explanation Answer: A) 1/6

Explanation:

K's one day's work = 1/30
L's one day's work = 1/45
(K + L)'s one day's work = 1/30 + 1/45 = 1/18

The part of the work completed in 3 days = 3 (1/18) = 1/6.

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Filed Under: Time and Work
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5 4411

Q:

A bag contains 5 red smileys, 6 yellow smileys and 3 green smileys. If two smileys are picked at random, what is the probability that both are red or both are green in colour?

A) 7	B) 1/7
C) 3/7	D) 0

Answer & Explanation Answer: B) 1/7

Explanation:

Given total number of smileys = 5 + 6 + 3 = 14

Now, required probability =

$\frac{5 C_{2}}{14 C_{2}} + \frac{3 C_{2}}{14 C_{2}} = \frac{10}{91} + \frac{3}{91} = \frac{13}{91} = \frac{1}{7}$

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Filed Under: Probability
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17 4409

Q:

$10,000 face value strip bond has 15 years remaining until maturity. If the prevailing market rate of return is 6.5% compounded semiannually, what is the fair market value of the strip bond?

A) 1710.29	B) 2710.29
C) 3710.29	D) 4710.29

Answer & Explanation Answer: C) 3710.29

Explanation:

i=j/m

n =m(Term) = 2(15.5) =31

Fair market value Present value of the face value

=FV(1+ i)^-n

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Filed Under: Compound Interest
Exam Prep: Bank Exams
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4 4405

Q:

Two cylindrical buckets have their diameters in the ratio 3:1 and their heights are as 1: 3. Find the ratio of their volumes.

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

Answer & Explanation Answer: B) 3:1

Explanation:

$\frac{v 1}{v 2} = \frac{{(r_{1})}^{2} \times h 1}{{(r_{2})}^{2} \times h 2}$

d1 = $2 r_{1}$ and d2 = $2 r_{2}$ are diameters

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
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2 4403

Q:

A certain amount earns simple interest of Rs. 2260 after 3 years. Had the interest been 1 % more how much more interest would it have earned ?

A) Rs. 175	B) Rs. 220.75
C) Rs. 126	D) Can't be determined

Answer & Explanation Answer: D) Can't be determined

Explanation:

Here given Interest earned = Rs. 2260

Time = 3 years

Rate of interest = ?

Principal Amount = ?

So, it can't be determined.

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Filed Under: Simple Interest
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17 4401

Q:

Three different containers contain 1365 litres, 1560 litres and 1755 litres of mixtures of milk and water respectively. What biggest measure that can measure all the different quantities exactly ?

A) 37 lit	B) 97 lit
C) 129 lit	D) 195 lit

Answer & Explanation Answer: D) 195 lit

Explanation:

From the given data,

containers contain mixtures of milk and water as 1365 lit, 1560 lit and 1755 lit.

Biggest measure that can measure all these different quantities exactly can be given by

HCF of (1365, 1560, 1755)

That can be found as

HCF of 1365, 1755 = 195

Now, HCF of 195 and 1560 = 195

Hence, biggest measure that can measure all the given different quantities exactly is 195 lit.

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Filed Under: HCF and LCM
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11 4401

Q:

If the average of 31, x, 42, 39, 56, 78, 83 and 91 is 58.5, then what is the value of x?

A) 26	B) 34
C) 58	D) 48

Answer & Explanation Answer: D) 48

Explanation:

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Filed Under: Average
Exam Prep: Bank Exams

2 4395

Q:

A sum of Rs. 4,300 is distributed among M, N and O, such that M receives 25% more than N and N receives 25% less than O. What is O’s share in the amount?

A) 1564	B) 1600
C) 1632	D) 1714

Answer & Explanation Answer: B) 1600

Explanation:

Let O's share = Rs. P

=> N's share = $\frac{75}{100} x P = \frac{3 P}{4}$

M's share = $\frac{5}{4} x \frac{3 P}{4} = \frac{15 P}{16}$

$\frac{15 P}{16} + \frac{3 P}{4} + P = 4300 = > P = 4300 x \frac{16}{43} = 1600$

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Filed Under: Partnership
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14 4394

Quantitative Aptitude - Arithmetic Ability Questions

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