Quantitative Aptitude - Arithmetic Ability Questions

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 x3 + y3 + 9xy?

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° )÷(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+3, then the value of x2-x+1x2+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 p4+q4=(p2+kpq+q2)(p2-kpq+q2), then the value of k is

A) 1 B) -2
C) 2 D) 2
 
Answer & Explanation Answer: D) 2

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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
 
Answer & Explanation Answer: C) 22

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Filed Under: Profit and Loss
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