6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

An automobile financier claims to be lending money at S.I., but he includes the interest every six months for calculating the principal. If he is charging an interest of 8%, the effective rate of interest becomes ?

A) 10.25 %	B) 8.16 %
C) 9.63 %	D) 0.16 %

Answer & Explanation Answer: B) 8.16 %

Explanation:

Let the sum be Rs. 100. Then,
S.I. for first 6 months = (100 x 8 x 1) / (100 x 2) = Rs. 4
S.I. for last 6 months = (104 x 8 x 1) / (100 x 2) = Rs. 4.16
So, amount at the end of 1 year = (100 + 4 + 4.16) = Rs. 108.16
Effective rate = (108.16 - 100) = 8.16%.

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Filed Under: Simple Interest
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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4 13163

Q:

The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:

A) 153600	B) 143600
C) 13600	D) 16300

Answer & Explanation Answer: A) 153600

Explanation:

Let length = 3x metres and breadth = 2x metres.

Then, 2(3x + 2x) = 1600 or x = 160.

Length = 480 m and Breadth = 320 m.Area = (480 x 320) sq.m = 153600 sq.m

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

4 13162

Q:

Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?

A) 4	B) 10
C) 15	D) 16

Answer & Explanation Answer: D) 16

Explanation:

L.C.M. of 2, 4, 6, 8, 10, 12 is 120.

So, the bells will toll together after every 120 seconds(2 minutes).

In 30 minutes,they will together (30/2)+1=16 times

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Filed Under: HCF and LCM

20 13146

Q:

The average age of a class is 19 years. While the average age of girls is 18 and that of boys is 21. If the number of girls in the class is 16, Find the number of Boys in the class?

A) 12	B) 10
C) 8	D) 6

Answer & Explanation Answer: C) 8

Explanation:

Let the number of boys = x

From the given data,

=> [21x + 16(18)]/(x+16) = 19

=> 21x - 19x = 19(16) - 16(18)

=> 2x = 16

=> x = 8

Therefore, the number of boys in the class = 8.

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

23 13141

Q:

5% people of a village in India died by dengue, 15% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning ?

A) 4400	B) 3100
C) 2800	D) 5600

Answer & Explanation Answer: A) 4400

Explanation:

Let 'P' be the original population at the beginning

P x (95/100) x (85/100) = 3553

P = 4400.

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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9 13138

Q:

A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current ?

A) 1 kmph	B) 3.2 kmph
C) 1.5 kmph	D) 2 kmph

Answer & Explanation Answer: C) 1.5 kmph

Explanation:

72 --- 9
? ---- 1

=> Down Stream = 8

45 ---- 9
? ---- 1

=> Up Stream = 5

Speed od current S = ?

S = (8 - 5)/2 = 1.5 kmph.

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Filed Under: Boats and Streams
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16 13119

Q:

The length of the rectangle is 20% more than its breadth . what will be the ratio of the area of the rectangle to that of the square whose side is equal to the breadth of the rectangle?

A) 2:1	B) 5:6
C) 6:5	D) data is inadequate

Answer & Explanation Answer: C) 6:5

Explanation:

Required ratio = $\frac{6 x}{5} \times x \times (\frac{1}{x^{2}}) = 6 : 5$

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

7 13119

Q:

What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?

A) 1:3	B) 1:4
C) 2:3	D) data is inadequate

Answer & Explanation Answer: C) 2:3

Explanation:

Let the principal be P and rate of interest be R%.

Required ratio = $[(\frac{\frac{P * R * 6}{100}}{\frac{P * R * 9}{100}})] = \frac{6 P R}{9 P R} = \frac{6}{9} = \frac{2}{3}$

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Filed Under: Simple Interest
Exam Prep: GRE

14 13109

Quantitative Aptitude - Arithmetic Ability Questions

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