6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In each of these questions, two equations (I) and (II) are given.

$I . 2 x^{2} + 19 x + 42 = 0 II . 4 y^{2} + 43 y + 30 = 0$

A) x > y	B) x < y
C) x ≥ y	D) x ≤ y

Answer & Explanation Answer:

Explanation:

I. 2x2 + 19x + 42 = 0

2x2 + 12x + 7x + 42 = 0

2x (x+6) + 7(x +6) = 0

(2x+7) (x+6) = 0 x = -7/2, -6 I

I. 4y2 + 43y + 30 = 0

4y2 +40y + 3y + 30 = 0

4y(y + 10) + 3(y + 10) (4y + 3)(y + 10) = 0

y = -3/4, -10

So answer is no relation.

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2 61882

Q:

Gaurav spends 30% of his monthly income on food articles, 40% of the remaining on conveyance and clothes and saves 50% of the remaining. If his monthly salary is Rs. 18,400, how much money does he save every month ?

A) 3864	B) 4903
C) 5849	D) 6789

Answer & Explanation Answer: A) 3864

Explanation:

Saving = 50% of (100 - 40)% of (100 - 30)% of Rs. 18,400 = Rs. (50/100 * 60/100 * 70/100 * 18400) = Rs. 3864.

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Filed Under: Percentage

282 61779

Q:

Find the odd man out of the following number sequence?

100, 101, 97, 105, 90

A) 90	B) 105
C) 97	D) 101

Answer & Explanation Answer: B) 105

Explanation:

The given number series 100, 101, 97, 105, 90

100

100 + 1^2 = 101

101 - 2^2 = 97

97 + 3^2 = 106 ( not 105)

106 - 4^2 = 90

Hence, the odd man in the given series is 105.

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

1 61772

Q:

The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?

A) 16	B) 18
C) 20	D) 22

Answer & Explanation Answer: B) 18

Explanation:

$\frac{2 (l + b)}{b} = \frac{5}{1}$ => 2l + 2b = 5b => 3b = 2l

b=(2/3)l

Then, Area = 216 cm²

=> l x b = 216 => l x (2/3)l =216

l = 18 cm.

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

50 61766

Q:

Find out the wrong term in the following number series.

4, 16, 37, 58, 81.

A) 16	B) 37
C) 81	D) 4

Answer & Explanation Answer: C) 81

Explanation:

The series follows the following pattern.

4

16 = $4^{2}$

37 = $1^{2} + 6^{2}$

58 = $3^{2} + 7^{2}$

81 $\neq 5^{2} + 8^{2}$ .

Here every number is based on the digits of previous number. Hence, 81 is the wrong number in the given series.

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

5 61676

Q:

Which of the following combination of sides results in the formation of obtuse angled triangle?

A) 6,7,13	B) 5, 6, 8
C) 4, 5, 6	D) None of these

Answer & Explanation Answer: B) 5, 6, 8

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

0 61661

Q:

What is the value of (1/√3 - sin45)?

A) 1/2√3	B) (√2-√3)/√6
C) 1-√2	D) (4-√3)/2

Answer & Explanation Answer: B) (√2-√3)/√6

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 61607

Q:

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

534.596 + 61.472 - 496.708 = ? + 27.271

A) 126.631	B) 62.069
C) 72.089	D) 132.788

Answer & Explanation Answer: C) 72.089

Explanation:

534.596 + 61.472 – 496.708 = ? + 27.271

596.068 – 496.708 = ? + 27.271

? = 99.36 – 27.271

? = 72.089.

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0 61557

Quantitative Aptitude - Arithmetic Ability Questions

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