6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A certain sum is invested for 2 years in scheme M at 20% p.a. compound interest (compounded annually), Same sum is also invested for the same period in scheme N at k% p.a. simple interest. The interest earned from scheme M is twice of that earned from scheme N. What is the value of k?

A) 7	B) 11
C) 9	D) 13

Answer & Explanation Answer: B) 11

Explanation:

Interest earned in scheme M =

$P [{(1 + \frac{20}{100})}^{2} - 1] = \frac{11 P}{25}$

Interest earned in scheme N =

$\frac{P x k x 2}{100} = \frac{P k}{50}$

Now, from the given data,

$\frac{11 P}{25} = 2 x \frac{P k}{50}$

k = 11

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Filed Under: Compound Interest
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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20 3826

Q:

16 of 225 is =

A) 7.11	B) 7.21
C) 6.87	D) 7.58

Answer & Explanation Answer: A) 7.11

Explanation:

16 of 225 is =

$16 = p \times \frac{225}{100} p = \frac{1600}{225} = 7.1111$

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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9 3826

Q:

If $a = \frac{\sqrt{5} + 1}{\sqrt{5} - 1} b = \frac{\sqrt{5} - 1}{\sqrt{5} + 1} t h e n f i n d t h e v a l u e o f [\frac{a^{2} + a b + b^{2}}{a^{2} - a b + b^{2}}] i s : :$

A) 3/4	B) 4/3
C) 3/5	D) 5/3

Answer & Explanation Answer: B) 4/3

Explanation:

By simplifying, we get 4/3

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Filed Under: Square Roots and Cube Roots
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

7 3825

Q:

The bankers discount and true discount on a sum of money due 8 months hence are Rs.120 & Rs.110 resp. Find the sum.

A) 1457	B) 1320
C) 1140	D) 1260

Answer & Explanation Answer: B) 1320

Explanation:

Sum = (B.D * T.D) / (B.D) -(T.D)

= (120 * 110) / (120 -110)

= 1320

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Filed Under: Banker's Discount

2 3824

Q:

5th January 2018 was a Friday. Which of the following years will also have 5th January on a Friday?

A) 2022	B) 2020
C) 2024	D) 2023

Answer & Explanation Answer: C) 2024

Explanation:

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Filed Under: Calendar
Exam Prep: Bank Exams

15 3824

Q:

If an article is sold at a gain of 6% instead of a loss of 6% the seller gets Rs. 6 more. What is the cost price of the article?

A) Rs. 18	B) Rs. 36
C) Rs. 42	D) Rs. 50

Answer & Explanation Answer: D) Rs. 50

Explanation:

Let CP be Rs x

Then

1.06x–0.94x = 6

So x = Rs 50

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

2 3823

Q:

Out of seven consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed ?

A) 25200	B) 25000
C) 25225	D) 24752

Answer & Explanation Answer: A) 25200

Explanation:

Number of ways of selecting (3 consonants out of 7) and (2 vowels out of 4) =( $C_{3}^{7} \times C_{2}^{4}$ ) = 210.

Number of groups, each having 3 consonants and 2 vowels =210

Each group contains 5 letters.

Number of ways of arranging 5 letters among themselves = 5! = 120.

Required number of words = (210 x 120) = 25200.

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Filed Under: Permutations and Combinations
Exam Prep: CAT , Bank Exams
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8 3818

Q:

12 students of class IX took part in GK quiz. If the number of boys is 4 more than the number of girls. Find the number of boys and girls took part in the quiz ?

A) 7, 5	B) 9, 3
C) 8, 4	D) 6, 6

Answer & Explanation Answer: C) 8, 4

Explanation:

Let the number of girls = x

=> x + x + 4 = 12

=> 2x = 8

=> x = 4

=> Number of girls = 4

=> Number of boys = 4 + 4 = 8

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Filed Under: Problems on Numbers
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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16 3818

Quantitative Aptitude - Arithmetic Ability Questions

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