Quantitative Aptitude - Arithmetic Ability Questions

Q:

If cosec4A -­ cosec2A = x, then value of x is?

A) tan4A + tan2A B) cot4A + cot2A
C) cot4A -­ cot2A D) tan4A -­ tan2A
 
Answer & Explanation Answer: B) cot4A + cot2A

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Q:

If (1/cos θ) – (1/cot θ) = 1/P, then what is the value of cos θ?

A) (P + 1)/(P – 1) B)  (P2+ 1)/2P
C) 2(P2+ 1)/P D)  2P/(P2+ 1)
 
Answer & Explanation Answer: D)  2P/(P2+ 1)

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Q:

Two trains move from stations M and N. Both trains move towards each other at speeds of 54 km/hr and 63 km/hr respectively. When they meeteach other, the second train has travel 100 km more than the first. What is the distance (in km) between M and N

A) 600 B) 700
C) 1300 D) 1500
 
Answer & Explanation Answer: C) 1300

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Q:

The average weight of 35 apples is 50 grams. If some apples of weight 40 grams each were removed, then average weight becomes 57.5 grams. How many apples of weight 40 grams were removed?

A) 5 B) 10
C) 15 D) 20
 
Answer & Explanation Answer: C) 15

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Q:

If a + b = 11 and a2+ b2= 61, then value of ab is

A) 12 B) 96
C) 24 D) 30
 
Answer & Explanation Answer: D) 30

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Q:

If 56 × 75 × 60 × 84 × 210 = 2p × 3q × 5r × 7s, then what is the value of [(p + q)/s] + r?

A) 6 B) 8
C) 12 D) 10
 
Answer & Explanation Answer: B) 8

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Q:

A 12 m long wire is cut into two pieces, one of which is bent into a circle and the other into a square enclosing the circle. What is the radius of the circle?

A) 12/π+4 B) 6/π+4
C) 3/π+4 D) 6/π+2√2
 
Answer & Explanation Answer: B) 6/π+4

Explanation:
As it is clear that 2r = a where a is the side of the square and
R is the radius of circle
It is given that 2πr + 4a = 12
a = 12/(π+4)
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Q:

If on a Sale there is 40% discount on the marked price of Rs 1000, but the sale is done at Rs 510 only then what additional discount (in %) did the customer get?

A) 25 B) 15
C) 10 D) 30
 
Answer & Explanation Answer: B) 15

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