6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Simplify the following equation

$\frac{[{(K - L)}^{2} - {(K + L)}^{2}]}{4 K}$ = a/b

A) K = b /a	B) bL = -a
C) KL = 1	D) aK = -b

Answer & Explanation Answer: B) bL = -a

Explanation:

$\frac{[(K - L)^{2} - {(K + L)}^{2}]}{4 K} = \frac{a}{b} \frac{(K^{2} + L^{2} - 2 K L) - (K^{2} + L^{2} + 2 K L)}{4 K} = \frac{a}{b}$

=> - 4KL/4K = a/b

=> L = - a/b

=> bL = -a

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Filed Under: Simplification
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6 101995

Q:

Find the next number in the series 125, 80, 45, 20, ....

A) 5	B) 15
C) -5	D) 10

Answer & Explanation Answer: A) 5

Explanation:

The pattern is -45, -35, -25, -15

The next number = 20-15= 5

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Filed Under: Numbers
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44 101960

Q:

Simplify $(2 \sqrt{392} - 21) + {(\sqrt{8} - 7)}^{2} = {(?)}^{2}$

A) 4	B) 5
C) 6	D) 9

Answer & Explanation Answer: C) 6

Explanation:

${(?)}^{2} = (2 \times 7 \sqrt{8} - 21 + 8 + 49 - 14 \sqrt{8}) = 57 - 21 = 36 = > ? = \pm 6$

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15 101425

Q:

A, B and C enter into a partnership and their shares are in the ratio 1/2 : 1/3 : 1/4. After 2 months, A withdraws half of his capital and after 10 months, a profit of Rs. 378 is divided among them. What is B's share ?

A) 144	B) 169
C) 225	D) 339

Answer & Explanation Answer: A) 144

Explanation:

Ratio of initial investments = 1/2 : 1/3 : 1/4 = 6 : 4 : 3.

Let their initial investments be 6x, 2x and 3x respectively.

A : B : C = (6x * 2 + 3x * 10) : (4x * 12) : (3x * 12) = 42 : 48 : 36 = 7 : 8 : 6.

B's share = Rs. (378 * 8/21) = Rs. 144.

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148 101376

Q:

What will come in place of the question mark (?) in the following number series?

5, 7, ?, 25, 45, 75

A) 11	B) 13
C) 15	D) 19

Answer & Explanation Answer: B) 13

Explanation:

The series given follow the pattern

+2, +2+4, +2+4+6, +2+4+6+8, +2+4+6+8+10,...

Here ? = 7 + 2 + 4 = 13.

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Filed Under: Odd Man Out
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10 100602

Q:

A student has to obtain 33% of the total marks to pass. He got 125 marks and failed by 40 marks. The maximum marks are :

A) 500	B) 600
C) 800	D) 1000

Answer & Explanation Answer: A) 500

Explanation:

Given that the student got 125 marks and still he failed by 40 marks

=> The minimum pass mark = 125 + 40 = 165

Given that minimum pass mark = 33% of the total mark

=> total mark =33/100 =165

=> total mark = 16500/33 = 500

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582 99728

Q:

A man spends 35% of his income on food, 25% on children's education and 80% of the remaining on house rent. What percent of his income he is left with ?

A) 6 %	B) 8 %
C) 10 %	D) 12 %

Answer & Explanation Answer: B) 8 %

Explanation:

Let the total income be x.

Then, income left = (100 - 80)% of [100 - (35 + 25)] % of x = 20% of 40% of x = [(20/100) * (40/100) * 100] % of x = 8 % of x.

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529 99242

Q:

311, 230, 294, ?, 281, 256

What will come in place of the question mark (?) in the above number series?

A) 240	B) 245
C) 244	D) 246

Answer & Explanation Answer: B) 245

Explanation:

Given 311 230 294 ? 281 256

311 - (9x9) = 230

230 + (8x8) = 294

294 - (7x7) = 245

245 + (6x6) = 281

281 - (5x5) = 256

Hence, the missing number in the given series is 245.

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8 98644

Quantitative Aptitude - Arithmetic Ability Questions

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