6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Δ DEF is right angled at E. If m∠F = 45°, then what is the value of 2 Sin F x Cot F?

A) √2	B) 2
C) 1/√2	D) 1/2

Answer & Explanation Answer: A) √2

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Q:

If x + y = 3, then what is the value of $x^{3} + y^{3} + 9 xy$ ?

A) 15	B) 81
C) 27	D) 9

Answer & Explanation Answer: C) 27

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Q:

What is the value of $[(\sin 59 ° \cos 31 ° + \cos 59 ° \sin 31 °) \div (\cos 20 ° \cos 25 ° - \sin 20 ° \sin 25 °)] ?$

A) 1/√2	B) 2√2
C) √3	D) √2

Answer & Explanation Answer: D) √2

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Q:

If $x = 2 + \sqrt{3},$ then the value of $\frac{x^{2} - x + 1}{x^{2} + x + 1}$ is

A) 2/3	B) 3/4
C) 4/5	D) 3/5

Answer & Explanation Answer: D) 3/5

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Q:

Of three positive numbers, the ratio of first and second is 5 : 2, ratio of second and third is 5 : 4. The product of first and third is 1800. What is the sum of the three numbers?

A) 43	B) 133
C) 119	D) 129

Answer & Explanation Answer: D) 129

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Filed Under: Ratios and Proportions
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Q:

If k is the largest possible real number such that $p^{4} + q^{4} = (p^{2} + k p q + q^{2}) (p^{2} - k p q + q^{2}),$ then the value of k is

A) 1	B) -2
C) 2	D) 2

Answer & Explanation Answer: D) 2

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Filed Under: Quantitative Aptitude - Arithmetic Ability

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Q:

A train 110 metres long is running with a speed of 60 kmph . In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?

A) 5 sec	B) 6 sec
C) 7 sec	D) 10 sec

Answer & Explanation Answer: B) 6 sec

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Q:

A trader buys 500 kgs of cotton for Rs 9,000. 10% of this cotton is spoiled due to rain. At what rate (Rs/Kg) should he sell the rest to earn 10% profit?

A) 25	B) 30
C) 22	D) 20

Quantitative Aptitude - Arithmetic Ability Questions

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