Quantitative Aptitude - Arithmetic Ability Questions

Q:

If cot 60° + cosec 60° = x, then the value of x is

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

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Q:

The co-ordinates of the centroid of a triangle ABC are (1 , -4). What are the co-ordinates of vertex C if co-ordinates of A and B are (3 , -4) and (0 , 5) respectively?

A) (0 , 13) B) (0, 5)
C) (0, -5) D) (0 , -13)
 
Answer & Explanation Answer: D) (0 , -13)

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Filed Under: Area
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Q:

A boat covers 143 km upstream in 13 hours and the same distance downstream in 11 hours. What is the speed (in km/hr) of the boat in still water?

 

A) 10 B) 12
C) 14 D) 8
 
Answer & Explanation Answer: B) 12

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Q:

What is the value of [2 sin (45 + θ) sin (45 – θ)]/cos 2θ?

A) 0 B) tan 2θ
C) cot 2θ D) 1
 
Answer & Explanation Answer: D) 1

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Q:

If cos 240° = x, then value of x is

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

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Q:

A circle and a square have same area. The ratio of the side of the square to the radius of the circle will be:

A) π:1 B) 1:π
C) π2:1 D) 1:π
 
Answer & Explanation Answer: A) π:1

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Q:

5% more is gained by selling a watch for Rs. 350 than by selling it for Rs. 340. The cost price of the watch is

A) Rs. 110 B) Rs. 140
C) Rs. 200 D) Rs. 250
 
Answer & Explanation Answer: C) Rs. 200

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Q:

Working 10 hours a day, Aman can complete a piece of work in 18 days. How many hours a day should he work so as to finish the work in 15 days?

A) 10 B) 12
C) 16 D) 18
 
Answer & Explanation Answer: B) 12

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Filed Under: Time and Work
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