6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If Rs. 782 be divided into three parts, proportional to $\frac{1}{2} : \frac{2}{3} : \frac{3}{4}$ , then the first part is?

A) Rs. 182	B) Rs. 190
C) Rs. 192	D) Rs. 204

Answer & Explanation Answer: D) Rs. 204

Explanation:

$R s . (782 * \frac{6}{23})$

Given ratio = $\frac{1}{2} : \frac{2}{3} : \frac{3}{4}$ = 6:8:9

1st part = $R s . (782 * \frac{6}{23})$ = Rs. 204

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Filed Under: Ratios and Proportions

378 91709

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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Filed Under: Simplification

2 91022

Q:

Find the factors of $(x^{2} - x - 132)$ ?

A) x - 11x - 12	B) (x + 12)(x - 11)
C) (x + 11)(x + 12)	D) (x - 12)(x + 11)

Answer & Explanation Answer: D) (x - 12)(x + 11)

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

21 90978

Q:

The volume of a hemisphere is 89.83 cm³. Find its diameter (in cm).

A) 3.5	B) 7
C) 14	D) 10.5

Answer & Explanation Answer: B) 7

Explanation:

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 90763

Q:

The average of 7 consecutive numbers is 20. The largest of these numbers is :

A) 21	B) 22
C) 23	D) 24

Answer & Explanation Answer: C) 23

Explanation:

Let the numbers be x, x + 1, x + 2, x + 3, x + 4, x + 5 and x + 6,

Then (x + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5) + (x + 6)) / 7 = 20.

or 7x + 21 = 140 or 7x = 119 or x =17.

Latest number = x + 6 = 23.

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Filed Under: Average

257 90465

Q:

What approximate value will come in place of the question mark(?) in the below question?

(47% of 1442 - 36% of 1412) + 63 = ?

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

Answer & Explanation Answer: C) 3

Explanation:

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Filed Under: Problems on Numbers

25 90295

Q:

Consider the following for real numbers α, β, γ and δ ?

1) sec α = 1/4

2) tan β = 20

3) cosec γ = 1/2

4) cos δ = 2

How many of the above statements are not possible?

A) one	B) two
C) three	D) four

Answer & Explanation Answer: C) three

Explanation:

Sec of any number can never be less than 1

tan can take any value from -∞ to + ∞

cosec of any number can never be less than 1

cos of any number can never be greater than 1

so option 1,3,4 are not possible

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Filed Under: Simplification
Exam Prep: Bank Exams

1 90058

Q:

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

150% of 460+24% of 650=?

A) 854	B) 846
C) 895	D) 825

Answer & Explanation Answer: B) 846

Explanation:

(150 x 460)/100 + (24 x 650)/100

= 690+156

= 846

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

0 90046

Quantitative Aptitude - Arithmetic Ability Questions

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