Quantitative Aptitude - Arithmetic Ability Questions

Q:

If cosec2 θ = 625/576, then what is the value of [(sin θ – cos θ)/(sin θ + cos θ)]?

A) 1 B) 31/17
C) 17/31 D) 14/25
 
Answer & Explanation Answer: C) 17/31

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Q:

If tan(A/2) = x, then the value of x is

A) sinA/(1 - cosA) B) sinA/(1 + cosA)
C) √[sinA/(1 + cosA)] D) √[sinA/(1 - cosA)]
 
Answer & Explanation Answer: B) sinA/(1 + cosA)

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Q:

If a2sec2x - b2tan2x = c2 then the value of sec2x + tan2x is equal to (assume b2 ≠ a2 )

A) b2-a2+2c2b2+a2 B) b2+a2-2c2b2-a2
C) b2-a2-2c2b2+a2 D) b2-a2b2+a2+2c2
 
Answer & Explanation Answer: B) b2+a2-2c2b2-a2

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Q:

Marked price of an item is Rs 200. On purchase of 1 item discount is 22%, on purchase of 4 items discount is 33%. Rabia buys 5 items, what is the effective discount?

A) 35 percent B) 30.8 percent
C) 20.4 percent D) 34 percent
 
Answer & Explanation Answer: B) 30.8 percent

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Q:

A book is sold at three successive discounts of 20%, 20% and 10%. What is the net discount (in percentage)?

A) 42.4 B) 48.6
C) 44.2 D) 40.4
 
Answer & Explanation Answer: A) 42.4

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Q:

A truck moves at the speed of 90 km/hr after repairing and moves at the speed of 80 km/hr before repairing. It covers x distance in 8 hours after repairing. How much time (in hours) will it take to cover 4x distance before repairing?

A) 48 B) 40
C) 36 D) 28
 
Answer & Explanation Answer: C) 36

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Q:

If sinθ+cosecθ=2, the value of sinnθ+cosecnθ is

A) 2 B) 0
C) 1 D) 1/n
 
Answer & Explanation Answer: A) 2

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Q:

If ab = 21 and a+b2a-b2 = 254,then the value of a2+b2+3ab

A) 115 B) 121
C) 125 D) 127
 
Answer & Explanation Answer: B) 121

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