Quantitative Aptitude - Arithmetic Ability Questions

Q:

p3 + q3 + r3  3pqr = 4. If a = q + r, b = r + p and c = p + q, then what is the value of a3 + b3 + c3  3abc?

A) 4 B) 8
C) 2 D) 12
 
Answer & Explanation Answer: B) 8

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Filed Under: Simplification
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Q:

If sin π/6 + sec π/6 = x, then x is

A) (2√2-1)/2 B) 5/√3
C) (√6-1)/√2 D) (√3+4)/2√3
 
Answer & Explanation Answer: D) (√3+4)/2√3

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Q:

If cosA = x, then x is

A) √(1 - cos2A) B) √(1 + sin2A)
C) √(1 + cos2A) D) √(1 - sin2A)
 
Answer & Explanation Answer: D) √(1 - sin2A)

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Q:

If √(1 + cot2A)/cotA = x, then the value of x is

A) sinA B) cosecA
C) secA D) cosA
 
Answer & Explanation Answer: C) secA

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Q:

An amount fetched a total simple interest of Rs. 3200 at the rate of 6.25 %/yr in 4 years. What is the amount (in Rs)?

A) 13800 B) 11800
C) 12800 D) 14800
 
Answer & Explanation Answer: C) 12800

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Filed Under: Simple Interest
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Q:

From the circumcentre I of the triangle ABC, perpendicular ID is drawn on BC. If ∠BAC = 60°, then the value of ∠BID is

A) 60° B) 80°
C) 75° D) 45°
 
Answer & Explanation Answer: A) 60°

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Q:

If 2x2+2y2=4a the find the value of 2ax2-a+2ay2-a

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

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Q:

The average marks of 45 students is shown as 65. It includes a wrong entry of 84 marks instead of 48 marks. The correct average is:

A) 65.8 marks B) 67.4 marks
C) 62.6 marks D) 64.2 marks
 
Answer & Explanation Answer: D) 64.2 marks

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Filed Under: Average
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