6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In how many ways can 5 letters be posted in 4 letter boxes?

A) 512	B) 1024
C) 625	D) 20

Answer & Explanation Answer: B) 1024

Explanation:

First letter can be posted in 4 letter boxes in 4 ways. Similarly second letter can be posted in 4 letter boxes in 4 ways and so on.

Hence all the 5 letters can be posted in = 4 x 4 x 4 x 4 x 4 = 1024

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Filed Under: Permutations and Combinations

9 13945

Q:

217 x 217 + 183 x 183 = ?

A) 84521	B) 87487
C) 80578	D) 78458

Answer & Explanation Answer: C) 80578

Explanation:

${(217)}^{2} + {(183)}^{2}$

= ${(200 + 17)}^{2} + {(200 - 17)}^{2}$

It is in the form of ${(a + b)}^{2} + {(a - b)}^{2} = 2 (a^{2} + b^{2})$

= 2(40000 + 289) = 80578.

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

20 13944

Q:

Direction: What should come in the place of question mark (?) in the following number series?

2, 3, 6, 15, 45, ?

A) 90	B) 135
C) 157.5	D) 200

Answer & Explanation Answer: C) 157.5

Explanation:

The pattern followed is *1.5 , * 2 , *2.5 , *3 , *3.5

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Filed Under: Numbers
Exam Prep: AIEEE , Bank Exams , GATE

0 13942

Q:

A number, when 35 is subtracted from it, reduces to its 80 percent. What is four - fifth of that number ?

A) 175	B) 140
C) 135	D) 95

Answer & Explanation Answer: B) 140

Explanation:

x - 35 = 80x/100

=> x = 175

=> 4x/5 = 4x175/5 = 140.

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

18 13933

Q:

If $n C_{10} = n C_{12}$ then,find n.

A) 10	B) 12
C) 22	D) 24

Answer & Explanation Answer: C) 22

Explanation:

Using, ${}^{n}C_{r} = {}^{n}C_{n - r}$ we get

n – 10 = 12

or, n = 12 + 10 = 22

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Filed Under: Permutations and Combinations

19 13924

Q:

Find the odd word/letters/number pair from the given alternatives.

A) Novel	B) Paper
C) Pencil	D) Pen

Answer & Explanation Answer: A) Novel

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

0 13901

Q:

A can finish a work in 15 days and B can do the same work in 12 days . B worked for 8 days and left the job .In how many days, A alone can finish the remaining work?

A) 6 days	B) 5 days
C) 4 days	D) 3 days

Answer & Explanation Answer: B) 5 days

Explanation:

B's 8 days work=(1/12) x 8 = 2/3

Reaining work= 1/3

Now, 1/15 work is done by A in 1 day

Therefore, 1/3 work is done by A in 15 x (1/3) = 5 days

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Filed Under: Time and Work

11 13895

Q:

A sum of Rs. 427 is to be divided among A, B and C in such a way that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal. The share of C is ?

A) 64	B) 76
C) 84	D) 98

Answer & Explanation Answer: C) 84

Explanation:

Given total sum = Rs. 427
And given that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal.
=> 3A = 4B = 7C
But given
=> A + B + C = 427
Now express A and B in terms of C i.e
=> (7C/3) + (7C/4) + C = 427
=> C = 84

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

13 13886

Quantitative Aptitude - Arithmetic Ability Questions

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