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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

What is the value of [sin (y – z) + sin (y + z) + 2 sin y]/[sin (x – z) + sin (x + z) + 2 sin x]?

A) cos x sin y B) (sin y)/(sin x)
C) sin z D) sin x tan y
 
Answer & Explanation Answer: B) (sin y)/(sin x)

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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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Q:

If P + 1P+2 = 1, then the value of P+23+1P+23-3 ?

A) 12 B) 16
C) 18 D) 15
 
Answer & Explanation Answer: D) 15

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Q:

The LCM of 14, 21 and 35 is

A) 7 B) 140
C) 70 D) 210
 
Answer & Explanation Answer: D) 210

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Q:

ΔABC is right angled at B. If m∠C = 60°, then find the value of (cotA - 1/2).

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

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Q:

What is the value of tan150°?

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

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Q:

What will be the value of r2+p2+s2-rp-ps-rs when r = 4, p = 2, s = 8?

A) 8 B) 18
C) 28 D) 38
 
Answer & Explanation Answer: C) 28

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Q:

If (sinA + CosA)/(sin A - cos A) = 5/4, the value of (tan2A + 1)/(tan2A - 1) = ?

A) 41/40 B) 12/13
C) 40/41 D) -31/49
 
Answer & Explanation Answer: D) -31/49

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