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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

What is the value of √2 Sec 45° + (1/√3)Tan 30°?

A) (1 + √3)/2 B) (1 + 3√2)/√3
C) 7/3 D) (3 + 2√2)/3√2
 
Answer & Explanation Answer: C) 7/3

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Q:

ΔDEF is right angled at E. If cosD = 8/17, then what is the value of secF ?

A) 17/8 B) 8/17
C) 17/15 D) 15/17
 
Answer & Explanation Answer: C) 17/15

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Q:

The sum of three numbers is 67. If the ratio of the first number to the second number is 3 : 5 and that of the second number to the third number is 4 : 7, then what is the second number ?

A) 20 B) 24
C) 18 D) 16
 
Answer & Explanation Answer: A) 20

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Q:

If cos 2π/3c = x, then the value of x is

A) -1/2 B) 1/2
C) -√3/2 D) √3/2
 
Answer & Explanation Answer: A) -1/2

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Q:

The solution set of 4x - 3y = 47 and 3x + y = 32 is

A) {(15, 3)} B) {(4, 12)}
C) {(11, -1)} D) {(12, 3)}
 
Answer & Explanation Answer: C) {(11, -1)}

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Q:

The solution set of 4x -­ 3y = 10 and 3x + y = 14 is

A) {(5, 3)} B) {(4, 2)}
C) {(11, ­1)} D) {(2, 3)}
 
Answer & Explanation Answer: B) {(4, 2)}

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Q:

If α and β are the roots of equation x2  – x + 1 = 0, then which equation will have roots α3 and β3?

A) x2 + 2x + 1 = 0 B) x2 – 2x – 1 = 0
C) x2 + 3x – 1 = 0 D) x2 – 3x + 1 = 0
 
Answer & Explanation Answer: A) x2 + 2x + 1 = 0

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Q:

Reflection of the point (4,­6) in the origin is

A) (4,6) B) (­-4,­-6)
C) (­-4,6) D) (4,­-6)
 
Answer & Explanation Answer: C) (­-4,6)

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