Quantitative Aptitude - Arithmetic Ability Questions

Q:

If cos 45° - ­ sec 30° = x, then value of x is

A) (1+√2)/2 B) (2√2­√3)/2
C) (√3­2√2)/√6 D) 4/√3
 
Answer & Explanation Answer: C) (√3­2√2)/√6

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Q:

Let O be the orthocentre of the triangle ABC. If ∠BOC = 150°, Then ∠BAC is

A) 30° B) 60°
C) 90° D) 120°
 
Answer & Explanation Answer: A) 30°

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Q:

If the speed of a boat in still water is 20 km/hr and the speed of the current is 5 km/hr, then the time taken by the boat to travel 100 km with the current is

A) 2 hrs B) 3 hrs
C) 4 hrs D) 7 hrs
 
Answer & Explanation Answer: C) 4 hrs

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Filed Under: Boats and Streams
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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:

What are the co-ordinates of the centroid of a triangle, whose vertices are A(1, -5), B(4, 0) and C(-2, 2)?

A) (1 , -1) B) (-1 , 1)
C) (2 , -2) D) (-2 , 2)
 
Answer & Explanation Answer: A) (1 , -1)

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Q:

If (X/4) = (Y/5) = (Z/9), then what is X : Y : Z?

A) 8 : 10 : 19 B) 4 : 5 : 9
C) 45 : 36 : 20 D) 15 : 12 : 7
 
Answer & Explanation Answer: B) 4 : 5 : 9

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Filed Under: Ratios and Proportions
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Q:

The compound interest earned in two years at 15% per annum is Rs 20640. What is the sum invested (in Rs)?

A) 64000 B) 60000
C) 56000 D) 52000
 
Answer & Explanation Answer: A) 64000

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Filed Under: Compound Interest
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Q:

Three numbers are in Arithmetic Progression (AP) whose sum is 30 and the product is 910. Then the greatest number in the AP is

A) 17 B) 15
C) 13 D) 10
 
Answer & Explanation Answer: C) 13

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