6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Find out the wrong number in the given sequence of numbers.

52, 51, 48, 43, 34, 27, 16

A) 27	B) 34
C) 43	D) 48

Answer & Explanation Answer: B) 34

Explanation:

Subtract 1, 3, 5, 7, 9, 11 from successive numbers.

So, 34 is wrong.

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Filed Under: Odd Man Out

32 213008

Q:

A problem is given to three students whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved?

A) 1/4	B) 1/2
C) 3/4	D) 7/12

Answer & Explanation Answer: C) 3/4

Explanation:

Let A, B, C be the respective events of solving the problem and $A, B, C$ be the respective events of not solving the problem. Then A, B, C are independent event

$∴ A, B, C$ are independent events

Now, P(A) = 1/2 , P(B) = 1/3 and P(C)=1/4

$P (A) = \frac{1}{2}, P (B) = \frac{2}{3}, P (C) = \frac{3}{4}$

$∴$ P( none solves the problem) = P(not A) and (not B) and (not C)

= $P (A \cap B \cap C)$

= $P (A) P (B) P (C)$ $[∵ A, B, C a r e I n d e p e n d e n t]$

= $\frac{1}{2} \times \frac{2}{3} \times \frac{3}{4}$

= $\frac{1}{4}$

Hence, P(the problem will be solved) = 1 - P(none solves the problem)

= $1 - \frac{1}{4}$ = 3/4

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

1032 210197

Q:

What is the value of $(6 x^{2} - 5 y^{2}) (6 x^{2} + 5 y^{2}), if x = \frac{1}{\sqrt{3}} and y = \frac{1}{\sqrt{5}}$ ?

A) 2	B) 3
C) 4	D) 5

Answer & Explanation Answer: B) 3

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

16 205335

Q:

Find the unit place digit in the expression ${(159)}^{144} + {(114)}^{123} - {(110)}^{510} + {(213)}^{25}$

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

Answer & Explanation Answer: D) 8

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

1 201041

Q:

Find out the wrong number in the given sequence of numbers.

56, 72, 90, 110, 132, 150

A) 72	B) 110
C) 132	D) 150

Answer & Explanation Answer: D) 150

Explanation:

The numbers are 7 x 8, 8 x 9, 9 x 10, 10 x 11, 11 x 12, 12 x 13.

So, 150 is wrong.

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Filed Under: Odd Man Out

17 199193

Q:

7, 11, 19, 35, ?

Find the next number in the given number series?

A) 131	B) 94
C) 83	D) 67

Answer & Explanation Answer: D) 67

Explanation:

Here the given series 7, 11, 19, 35, ?

follows a pattern that (x 2 - 3) i.e,

7

7 x 2 - 3 = 11

11 x 2 - 3 = 19

19 x 2 - 3 = 35

35 x 2 - 3 = 67

67 x 2 - 3 = 131

Hence the next number in the given number series is 67.

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

28 197541

Q:

45% of 750 - 25% of 480 = ?

A) 337.50	B) 217.50
C) 376.21	D) 120

Answer & Explanation Answer: B) 217.50

Explanation:

Given expression = (45 x 750/100) - (25 x 480/100) = (337.50 - 120) = 217.50

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

57 192808

Q:

Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:

A) 2:5	B) 3:5
C) 4:5	D) 5:4

Answer & Explanation Answer: C) 4:5

Explanation:

Let the third number be x.

Then, first number = 120% of x =120x/100 = 6x/5

Second number =150% of x = 150x/100 = 3x/2

Ratio of first two numbers = 6x/5 : 3x/2 = 12x : 15x = 4 : 5

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Filed Under: Ratios and Proportions

630 191402

Quantitative Aptitude - Arithmetic Ability Questions

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