6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Two persons K and L enter into a business by investing their sum in the ratio of 7 : 9. After 7 months, L leaves the business. After eleven month, if total profit is Rs. 2460, what is the profit share of L (in Rs)?

A) Rs, 1109	B) Rs. 1107
C) Rs. 1111	D) Rs. 1113

Answer & Explanation Answer: B) Rs. 1107

Explanation:

From the given data,

K's profit : L's profit = 7x x 11 : 9x x 7

= 11:9

Therefore, L's profit = 9 x 2460/20 = Rs. 1107

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Filed Under: Partnership
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8 5592

Q:

A,B,C,D,E,F,G and H are sitting around a circular table facing the centre but not necessarily in the same order. G sits third to the right of C. E is second to the right of G and 4th to the right of H. B is fourth to the right of C. D is not an immediate neighbour of E. A and C are immediate neighbours.

Which of the following is/are correct ?

A) F is third to the left of B	B) F is second to the right of B
C) B is an immediate neighbour of D	D) All of the above

Answer & Explanation Answer: B) F is second to the right of B

Explanation:

From the given information, the circular arrangement is

EXP.

Here F is second to the right of B and the remaning all are wrong.

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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7 5591

Q:

The price of pulses has increased by 25%. The percentage of reduction that a family should effect in the use of pulses so as not to increase the expenditure on this account is ?

A) 16%	B) 20%
C) 84%	D) 72%

Answer & Explanation Answer: B) 20%

Explanation:

Reduction in consumption
= $\frac{P}{100 + P}$ X 100%
= $\frac{25}{100 + 25}$ X 100%
= 20%

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Filed Under: Percentage
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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4 5587

Q:

A standard deck of playing cards has 13 spades. How many ways can these 13 spades be arranged?

A) 13!	B) 13^2
C) 13^13	D) 2!

Answer & Explanation Answer: A) 13!

Explanation:

The solution to this problem involves calculating a factorial. Since we want to know how 13 cards can be arranged, we need to compute the value for 13 factorial.

13! = (1)(2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13) = 6,227,020,800

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Filed Under: Permutations and Combinations

2 5585

Q:

What is the present worth of a bill of Rs.1764 due 2 years hence at 5% compound interest is

A) Rs. 1600	B) Rs. 1200
C) Rs. 1800	D) Rs. 1400

Answer & Explanation Answer: A) Rs. 1600

Explanation:

Since the compound interest is taken here,

$P W {(1 + \frac{5}{100})}^{2} = 1764$

=> PW = 1600

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Filed Under: Banker's Discount

1 5585

Q:

A,B,C can complete a work in 15,20 and 30 respectively.They all work together for two days then A leave the work,B and C work some days and B leaves 2 days before completion of that work.how many days required to complete the whole work?

Answer

Given A,B,C can complete a work in 15,20 and 30 respectively.

The total work is given by the LCM of 15, 20, 30 i.e, 60.

A's 1 day work = 60/15 = 4 units

B's 1 day work = 60/20 = 3 units

C's 1 day work = 60/30 = 2 units

(A + B + C) worked for 2 days = (4 + 3 + 2) 2 = 18 units

Let B + C worked for x days = (3 + 2) x = 5x units

C worked for 2 days = 2 x 2 = 4 units

Then, 18 + 5x + 4 = 60

22 + 5x = 60

5x = 38

x = 7.6

Therefore, total number of days taken to complete the work = 2 + 7.6 + 2 = 11.6 = 11 3/5 days.

Workspace

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Subject: Time and Work Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

10 5585

Q:

A can do a piece of work in 15 days and B can do it in 16 days and C can do it 24 days. They started the work together and A leaves after 3 days and B leaves after 4 days from the beginning. How long will work lost ?

A) 10 2/3 days	B) 13 1/5 days
C) 12 2/3 days	D) 11 5/7 days

Answer & Explanation Answer: B) 13 1/5 days

Explanation:

3/15 + 4/16 + x/24 = 1

$\Rightarrow x = 13 \frac{1}{5}$

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Filed Under: Time and Work
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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3 5581

Q:

$(0.2 \times 0.2 + 0.01) {(0.1 \times 0.1 + 0.02)}^{- 1}$ is equal to

A) 5/3	B) 9/5
C) 41/4	D) 41/12

Answer & Explanation Answer: A) 5/3

Explanation:

Given expression = $\frac{(0.2 \times 0.2 \times 0.01)}{(0.1 \times 0.1 \times 0.02)} = \frac{0.04 + 0.01}{0.01 + 0.02} = \frac{0.05}{0.03} = \frac{5}{3}$

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Filed Under: Decimal Fractions

10 5579

Quantitative Aptitude - Arithmetic Ability Questions

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