6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The two equations x - 4y = 0 and 4x + 3y = 19 have a solution (a, b). Find the value of $\frac{ab}{a + 4 b}$ .

A) 1/4	B) 1/2
C) 1	D) 23

Answer & Explanation Answer: B) 1/2

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

2 58255

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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Filed Under: Simplification

122 58191

Q:

If Sinx = 4/5, then $1 + {Tan}^{2} x =$

A) 9/25	B) 25/16
C) 4/25	D) 25/9

Answer & Explanation Answer: D) 25/9

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

1 58190

Q:

Find the next number in the given number series?

11, 5.5, 10, 6.5, 9, ?

A) 6.5	B) 7.5
C) 8.5	D) 10.5

Answer & Explanation Answer: B) 7.5

Explanation:

The given number series follows a pattern that

11

11 - 5.5 = 5.5

5.5 + 4.5 = 10

10 - 3.5 = 6.5

6.5 + 2.5 = 9

9 - 1.5 = 7.5

Hence, the next number in the given number series is 7.5.

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

2 58155

Q:

Simplify 5x(x + 2) + 4x

A) 5x2 + 10	B) 9x + 10
C) 5x2 - 14x	D) 5x2 + 14x

Answer & Explanation Answer: D) 5x2 + 14x

Explanation:

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams

0 58078

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 58060

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)

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

=> 30 * 6 * x = 39 * 5 * 12

=> x= 13

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Filed Under: Chain Rule

57 58019

Q:

Find the factors of $(x^{2} + x - 42)$

A) (x + 14)(x - 3)	B) (x + 6)(x - 7)
C) (x - 6)(x + 7)	D) (x - 14)(x + 3)

Quantitative Aptitude - Arithmetic Ability Questions

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