6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

α and β are the roots of quadratic equation. If α + β = 8 and α – β = 2√5, then which of the following equation will have roots $α^{4} and β^{4}$ ?

A) x2 – 1522x + 14641 = 0	B) x2 + 1921x + 14641 = 0
C) x2– 1764x + 14641 = 0	D) x2+ 2520x + 14641 = 0

Answer & Explanation Answer: A) x2 – 1522x + 14641 = 0

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Q:

Find the odd word/letters/number pair from the given alternatives

A) 36-72	B) 17-34
C) 28-49	D) 24-48

Answer & Explanation Answer: C) 28-49

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Q:

If cosA/(1 - sinA) = x, then the value of x is

A) secA - tanA	B) cosecA + tanA
C) secA + tanA	D) cosecA - tanA

Answer & Explanation Answer: C) secA + tanA

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Q:

If 3x + 4(1-x) > 5x -2 > 3x - 4; then the value of x is

A) 2	B) -2
C) 0	D) -3

Answer & Explanation Answer: C) 0

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Q:

What is the value of $2 \sec^{2} A$ ?

A) secA/(cosecA - 1) + secA/(cosecA +1)	B) cosecA/(secA -1) + cosecA/(secA +1)
C) cosecA/(cosecA - 1) + cosecA/(cosecA +1)	D) secA/(secA - 1) + secA/(secA +1)

Answer & Explanation Answer: C) cosecA/(cosecA - 1) + cosecA/(cosecA +1)

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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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Q:

If (-1/2) * ( x - 5) + 3 = -5/2, then what is the value of x?

A) 16	B) 4
C) -6	D) -4

Answer & Explanation Answer: A) 16

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Q:

If x = a cosθ+ b sinθ and y = b cosθ- a sinθ, then x2 + y2 is equal to

A) ab	B) a2+b2
C) a2-b2	D) 1

Quantitative Aptitude - Arithmetic Ability Questions

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