6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If ${(x - 7)}^{2} + {(y + 10)}^{2} + {(z - 6)}^{2} = 0$ , then find the value of x + y + z.

A) 1	B) 3
C) 5	D) 7

Answer & Explanation Answer: B) 3

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

1 58711

Q:

The salaries of A, B, and C are in the ratio of 1 : 2 : 3. The salary of B and C together is Rs. 6000. By what percent is the salary of C more than that of A?

A) 100 %	B) 200%
C) 300%	D) 600%

Answer & Explanation Answer: B) 200%

Explanation:

Let the salaries of A, B, C be x, 2x and 3x respectively.

Then,2x + 3x = 6000 => x = 1200.

A's salary = Rs. 1200, B's salary = Rs. 2400, and Cs salary Rs. 3600.
Excess of C's salary over A's=[ (2400 /1200) x 100] = 200%.

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Filed Under: Ratios and Proportions

144 58593

Q:

Given that $(a^{2} + b^{2}) = 60$ , then find the value of ${(a + b)}^{2} + {(a - b)}^{2}$ ?

A) 90	B) 120
C) 140	D) 150

Answer & Explanation Answer: B) 120

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 58591

Q:

A sum of money lent at compound interest for 2 years at 20% per annum would fetch Rs.482 more, if the interest was payable half yearly than if it was payable annually . The sum is

A) 10000	B) 20000
C) 40000	D) 50000

Answer & Explanation Answer: B) 20000

Explanation:

Let sum=Rs.x

C.I. when compounded half yearly = $[x {(1 + \frac{10}{100})}^{4} - x] = \frac{4641}{10000}$

C.I. when compounded annually = $[x {(\frac{20}{100})}^{2} - x] = \frac{11}{25}$

$\frac{4641}{10000} x - \frac{11}{25} x = 482$

=> x=20000

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

278 58361

Q:

A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?

A) 3/7	B) 4/7
C) 1/8	D) 3/4

Answer & Explanation Answer: B) 4/7

Explanation:

Let number of balls = (6 + 8) = 14.

Number of white balls = 8.

P (drawing a white ball) = 8 /14 = 4/7.

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Filed Under: Probability

96 58307

Q:

Find the unit place digit in the given expression.

${(153)}^{144} - {(115)}^{123} - {(111)}^{510} + {(216)}^{25}$

A) 1	B) 5
C) 6	D) 3

Answer & Explanation Answer: A) 1

Explanation:

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Filed Under: Simplification
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1 58225

Q:

On what dates of April, 2001 did Wednesday fall?

A) 2nd,9th,16th,23rd	B) 4th,11th,18th,25th
C) 12th,18th,27th,6th	D) 1st,8th,15th,22nd

Answer & Explanation Answer: B) 4th,11th,18th,25th

Explanation:

We shall find the day on 1st April, 2001.

1st April, 2001 = (2000 years + Period from 1.1.2001 to 1.4.2001)

Odd days in 1600 years = 0

Odd days in 400 years = 0

Jan. Feb. March April

(31 + 28 + 31 + 1) = 91 days 0 odd days.

Total number of odd days = (0 + 0 + 0) = 0

On 1st April, 2001 it was Sunday.

In April, 2001 Wednesday falls on 4th, 11th, 18th and 25th.

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Filed Under: Calendar

254 58074

Q:

Find the missing number in the given number series?

2676, 445, ?, 21,6, 2, 1

A) 88	B) 92
C) 96	D) 102

Answer & Explanation Answer: A) 88

Explanation:

The given number series 2676, 445, ?, 21,6, 2, 1 follows a pattern that,

From right side,

1

1 x 1 + 1 = 2

2 x 2 + 2 = 6

6 x 3 + 3 = 21

21 x 4 + 4 = 88

88 x 5 + 5 = 445

445 x 6 + 6 = 2676

Hence the missing number in the given number series is 88.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

5 58003

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