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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

If x = cosecθ - sinθ and y = secθ - cosθ, then the relation between x and y is

A) x2+ y2+ 3 =1 B) x2y2 (x2+ y2+3)=1
C) x2 (x2+ y2 - 5)=1 D) y2 (x2+ y2 - 5)=1
 
Answer & Explanation Answer: B) x2y2 (x2+ y2+3)=1

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Q:

If a+b=5 then the value of a-37+b-27 is

A) 27 B) 37
C) 1 D) 0
 
Answer & Explanation Answer: D) 0

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Q:

If tan π/3c + cosec π/6c = x, then x is

A) (1-√2)/√2 B) (√3+4)/2√3
C) √3+2 D) (2√2-1)/2
 
Answer & Explanation Answer: C) √3+2

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Q:

Arrange them in ascending order 64, 33 and 43

A) 33 < 64 > 43 B) 33 > 64 > 43
C) 33 > 43 > 64 D) 33 < 64 < 43
 
Answer & Explanation Answer: D) 33 < 64 < 43

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Q:

What is the equation of line whose slope is -1/2 and passes through the intersection of the lines x - y = -1 and 3x - 2y = 0?

A) x + 2y = 8 B) 3x + y = 7
C) x + 2y = -8 D) 3x + y = -7
 
Answer & Explanation Answer: A) x + 2y = 8

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Q:

What is the value of (cosec30 - 1/√3)?

A) (2√3-1)/√3 B) (√3-4)/2√3
C) -1/√3 D) 2/√3
 
Answer & Explanation Answer: A) (2√3-1)/√3

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Q:

The sum of a fraction and 3 times its reciprocal is 37/10. What is the fraction?

A) 5/2 B) 2/5
C) 5/4 D) 4/5
 
Answer & Explanation Answer: A) 5/2

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Q:

If the Arithmetic mean of 7, 5, 13, x and 9 is 10, then the value of x is

A) 10 B) 12
C) 14 D) 16
 
Answer & Explanation Answer: D) 16

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