Quantitative Aptitude - Arithmetic Ability Questions

Q:

p3 + q3 + r3  3pqr = 4. If a = q + r, b = r + p and c = p + q, then what is the value of a3 + b3 + c3  3abc?

A) 4 B) 8
C) 2 D) 12
 
Answer & Explanation Answer: B) 8

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Q:

(1 + tan2A)/tanA is equal to

A) secA B) sinA
C) cosecA D) cosA
 
Answer & Explanation Answer: C) cosecA

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Q:

The simplified form of (x + 3)2 + (x - 1)2 is

A) (x2 + 2x + 5) B) 2(x2 + 2x + 5)
C) (x2 - 2x + 5) D) 2(x2 - 2x + 5)
 
Answer & Explanation Answer: B) 2(x2 + 2x + 5)

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Q:

x, y and z are real numbers. If x3 + y3 + z3 = 13, x + y + z = 1 and xyz = 1, then what is the value of xy + yz + zx?

A) -1 B) 1
C) 3 D) -3
 
Answer & Explanation Answer: D) -3

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Q:

What is the reflection of the point (1 , 2) in the line y = 3?

A) (1, -4) B) (1, 4)
C) (-1, -4) D) (-1, 4)
 
Answer & Explanation Answer: B) (1, 4)

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Q:

The simple interest on a certain sum of money at the rate of 5% per annum for 8 years is Rs. 840 . Rate of interest for which the same amount of interest can be received on the same sum after 5 years is

A) 7% B) 8%
C) 9% D) 10%
 
Answer & Explanation Answer: B) 8%

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Q:

The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Rs. 1. The sum (in Rs.) is:

A) 620 B) 630
C) 640 D) 625
 
Answer & Explanation Answer: D) 625

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Q:

The average weight of 25 bags is 55 kg. The weight of one bag was misread as 65 instead of 56. Find the correct mean value.

A) 55.25 B) 55.36
C) 54.64 D) 55.65
 
Answer & Explanation Answer: C) 54.64

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