6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If a--b = 4 and ab = 45, find the value of $a^{3} - b^{3}$

A) 604	B) 370
C) 253	D) 199

Answer & Explanation Answer: A) 604

Explanation:

${(a - b)}^{2} = a^{2} + b^{2} - 2 ab \Rightarrow 16 = a^{2} + b^{2} - 90 \Rightarrow a^{2} + b^{2} = 106 a^{3} - b^{3} = (a - b) (a^{2} + b^{2} + ab) \Rightarrow a^{3} - b^{3} = 4 X (106 + 45) \Rightarrow a^{3} - b^{3} = 4 X 151 \Rightarrow a^{3} - b^{3} = 604$

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1925

Q:

The mean of 20 observations is 19. One more observation is included and the new mean becomes 20. The 21st observation is

A) 20	B) 30
C) 40	D) 42

Answer & Explanation Answer: C) 40

Explanation:

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Filed Under: Probability
Exam Prep: Bank Exams

6 1924

Q:

In the following question, select the odd word from the given alternatives.

A) Flower	B) Fruit
C) Leaves	D) Root

Answer & Explanation Answer: D) Root

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

2 1924

Q:

Two cars travel from city A to city B at a speed of 30 and 48 km/hr respectively. If one car takes 3 hours lesser time than the other car for the journey, then the distance between City A and City B is

A) 288 km	B) 240 km
C) 360 km	D) 192 km

Answer & Explanation Answer: B) 240 km

Explanation:

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Filed Under: Time and Distance
Exam Prep: Bank Exams

3 1924

Q:

A dishonest shopkeeper professes to sell goods at his cost price but uses a false weight of 950 gms, for each kilogram. His gain percentage is

A) 100/23%	B) 100/19%
C) 100/17%	D) 100/21%

Answer & Explanation Answer: B) 100/19%

Explanation:

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

2 1924

Q:

A vendor buys some bananas at the rate of 2 for Re 1 and sells at the rate of 10 for Rs 7. What will be the result?

A) 40 percent loss	B) 28.57 percent gain
C) 40 percent gain	D) 28.5 percent loss

Answer & Explanation Answer: C) 40 percent gain

Explanation:

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

0 1924

Q:

In each of the following questions two equations I and II are given. Solve both the equations and give answer:
$I . x^{2} + 2 x - 195 = 0 II . y^{2} + 30 y + 225 = 0$

A) x = y or relation can’t be established between x and y	B) x > y
C) x < y	D) x ≥ y

Answer & Explanation Answer: D) x ≥ y

Explanation:

I. x2 + 2x - 195 = 0 = (x+15) (x-13) => x = -15, 13

II. y2 + 30y + 225 = 0 = (y+15) (y+15) => y = -15, -15

So x ≥ y

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Filed Under: Simplification

0 1923

Q:

If ${cosec}^{2} θ = 625 / 576$ , then what is the value of [(sin θ – cos θ)/(sin θ + cos θ)]?

A) 1	B) 31/17
C) 17/31	D) 14/25

Quantitative Aptitude - Arithmetic Ability Questions

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