6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Find the value of $\{{(216)}^{\frac{2}{3}} + {(36)}^{\frac{- 1}{2}}\}$

A) 216/6	B) 218/6
C) 215/6	D) 217/6

Answer & Explanation Answer: D) 217/6

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 58185

Q:

3, 11, 80, 291, 803

Find the odd man out of the number series?

A) 11	B) 803
C) 80	D) 291

Answer & Explanation Answer: C) 80

Explanation:

The given number series is 3, 11, 80, 291, 803

$3 3 + 2^{3} = 3 + 8 = 11 11 + 4^{3} = 11 + 64 = 75 (not 80) 75 + 6^{3} = 75 + 216 = 291 291 + 8^{3} = 291 + 512 = 803$

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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3 58168

Q:

If $4^{x} = \sqrt[7]{1024}$ , then what is the value of x?

A) 5/7	B) 4/7
C) 3/7	D) 6/7

Answer & Explanation Answer: A) 5/7

Explanation:

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1 58126

Q:

If $y - \frac{1}{y} = 4$ , then find the value of $(y^{3} - \frac{1}{y^{3}})$ .

A) 64	B) 76
C) 88	D) 90

Answer & Explanation Answer: B) 76

Explanation:

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0 58101

Q:

A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed :

A) 30 birds	B) 60 birds
C) 72 birds	D) 90 birds

Answer & Explanation Answer: A) 30 birds

Explanation:

Let the no of shots be x. Then,

Shots fired by A =(5/8)x

Shots fired by B = (3/8)x

Killing shots by A = 1/3 of (5/8)x = (5/24)x

Shots missed by B = 1/2 of (3/8)x = (3/16)x

(3/16)x = 27 $\Rightarrow$ x =144

Birds killed by A = (5/24)x = (5/24)*144 = 30

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122 58058

Q:

The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:

A) 123	B) 127
C) 235	D) 305

Answer & Explanation Answer: B) 127

Explanation:

Required number = H.C.F. of (1657 - 6) and (2037 - 5)

= H.C.F. of 1651 and 2032 = 127.

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Filed Under: HCF and LCM

251 58023

Q:

Find the wrong number in the given number series?

5, 8, 40, 90, 664

A) 8	B) 40
C) 90	D) 664

Answer & Explanation Answer: B) 40

Explanation:

The given number series is 5, 8, 40, 90, 664

5

5 - 1 x 2 = 8

8 - 3 x 4 = 20 (NOT 40)

20 - 5 x 6 = 90

90 - 7 x 8 = 664

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Filed Under: Odd Man Out
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15 58006

Q:

39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?

A) 10	B) 13
C) 14	D) 15

Answer & Explanation Answer: B) 13

Explanation:

Let the required number of days be x.

Less persons, More days (Indirect Proportion)

More working hours per day, Less days (Indirect Proportion)

$\begin{array}{r} \begin{matrix} P e r s o n s & 30 : 39 \end{matrix} \\ \begin{matrix} W o r k i n g h o u r s / d a y & 6 : 5 \end{matrix} \end{array}\} ⋮ ⋮ 12 : x$

Quantitative Aptitude - Arithmetic Ability Questions

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