6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm?

A) 344.35 sq.cm	B) 462 sq.cm
C) 498.35 sq.cm	D) None of these

Answer & Explanation Answer: C) 498.35 sq.cm

Explanation:

h = 14 cm, r = 7 cm.

So, l = $[\sqrt{7^{2} + 14^{2}}] = \sqrt{245} = 7 \sqrt{5} c m$

Total surface area = $πrl + {πr}^{2}$ = $\frac{22}{7} \times 7 \times 7 \sqrt{5} + \frac{22}{7} \times 7 \times 7$

= $154 (\sqrt{5} + 1)$

= (3.236 x 154) sq.cm

= 498.35 sq.cm

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Filed Under: Volume and Surface Area

6 16153

Q:

There are 5 novels and 4 biographies. In how many ways can 4 novels and 2 biographies can be arranged on a shelf ?

A) 26100	B) 21600
C) 24000	D) 36000

Answer & Explanation Answer: B) 21600

Explanation:

4 novels can be selected out of 5 in $5 C_{4}$ ways.

2 biographies can be selected out of 4 in $4 C_{2}$ ways.

Number of ways of arranging novels and biographies = $5 C_{4} * 4 C_{2}$ = 30

After selecting any 6 books (4 novels and 2 biographies) in one of the 30 ways, they can be arranged on the shelf in 6! = 720 ways.

By the Counting Principle, the total number of arrangements = 30 x 720 = 21600

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Filed Under: Permutations and Combinations

7 16116

Q:

What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad ?

A) 844	B) 814
C) 840	D) 820

Answer & Explanation Answer: B) 814

Explanation:

Length of largest tile = H.C.F. of 1517 cm and 902 cm = 41 cm.
Area of each tile = (41 x 41) sq.cm

Required number of tiles =1517 x 902/(41 x 41) = 814.

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Filed Under: Area
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk

8 16076

Q:

What will be the compound interest on a sum of Rs.25,000 after 3 years at the rate of 12 p.c.p.a?

A) Rs.10123.20	B) Rs.12100
C) Rs.12552	D) Rs.12665

Answer & Explanation Answer: A) Rs.10123.20

Explanation:

Amount

= Rs.(25000x(1+12/100)³

= Rs.(25000x28/25x28/25x28/25)

= Rs. 35123.20.

C.I = Rs(35123.20 -25000)

= Rs.10123.20

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Filed Under: Compound Interest
Exam Prep: GRE

17 16050

Q:

A man bought 20 shares of Rs. 50 at 5 discount, the rate of dividend being 13 $\frac{1}{2}$ . The rate of interest obtained is:

A) 13%	B) 12
C) 15%	D) 16%

Answer & Explanation Answer: C) 15%

Explanation:

Investment = Rs. [20 x (50 - 5)] = Rs. 900.

Face value = Rs. (50 x 20) = Rs. 1000.

Dividend = $R s . (\frac{27}{2} * \frac{1000}{100}) = R s . 135$

Interest obtained = $\frac{135}{900} * 100$ % = 15%

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Filed Under: Stocks and Shares

3 16035

Q:

The difference of $\frac{1}{8}$ and its reciprocal is equal to :

A) 1/8	B) 4/3
C) 15/16	D) 105/304

Answer & Explanation Answer: D) 105/304

Explanation:

Required difference = 19/16 - 16/19 = 105/304..

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Filed Under: Simplification

43 16025

Q:

What is the greatest of 3 consecutive integers whose sum is 24 ?

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

Answer & Explanation Answer: D) 9

Explanation:

The sum of three consecutive integers can be written as n + (n + 1) + (n + 2) = 3n + 3

If the sum is 24, we need to solve the equation 3n + 3 = 24;

=> 3n = 21;

=> n = 7

The greatest of the three numbers is therefore 7 + 2 = 9

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Filed Under: Numbers
Exam Prep: GRE

33 16006

Q:

There is certain numbers of toys in the box. They are divided into such a way that the person who gets 1/4 of the whole gets thrice of what the others get on an average. Find the number of people amongst whom the toys are distributed?

A) 8	B) 10
C) 12	D) 9

Answer & Explanation Answer: B) 10

Explanation:

If the person who gets 1/4 of the whole gets thrice of what the others get on an average, each one will get =1/3×1/4=112 of the whole.
Therefore, if there are k persons other than the person who gets one-fourth, then 1/4 + k/12 = 1
⇒ k=9

Hence, total number of people = 10.

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Filed Under: Ratios and Proportions

34 16005

Quantitative Aptitude - Arithmetic Ability Questions

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