6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If α and β are the roots of the equation $x^{2} + x - 1 = 0$ , then what is the equation whose roots are $α^{5} and β^{5}$ ?

A) x2 + 7x – 1 = 0	B) x2 – 7x – 1 = 0
C) x2 – 11x – 1 = 0	D) x2 + 11x – 1 = 0

Answer & Explanation Answer: D) x2 + 11x – 1 = 0

Explanation:

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Q:

In what ratio does the point T(x,0) divide the segment joining the points S(-4,-1) and U(1,4)?

A) 1 : 4	B) 4 : 1
C) 1 : 2	D) 2 : 1

Answer & Explanation Answer: A) 1 : 4

Explanation:

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Q:

Select the odd word from the given alternatives.

A) Chair	B) Bench
C) Bed	D) Sofa

Answer & Explanation Answer: C) Bed

Explanation:

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Q:

Find two natural numbers whose sum is 85 andtheleast common multiple is 102.

A) 30 & 55	B) 17 & 68
C) 35& 55	D) 51 & 34

Answer & Explanation Answer: D) 51 & 34

Explanation:

Let a + b = 85→b = 85 –a

LCM(a,b) =102→ab = 102

k→a(85 –a) = 102k, where k is a natural number.

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Q:

10 is added to a certain number, the sum is multiplied by 7, the product is divided by 5 and 5 is subtracted from the quotient. The remainder left is half of 88. What is the number?

A) 21	B) 20
C) 25	D) 30

Answer & Explanation Answer: C) 25

Explanation:

Let the number be x

When 10 is added, number = x + 10

When 7 is multiplied, number = 7 X (x + 10)

According to question,

⇒[7 X (x+10) / 5] –5 = 44

⇒7x + 70 = 49 X 5

⇒x + 10 = 35,

⇒x = 25

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Q:

If secθ = cosecq with 0° < θ , q < 90°, then the value of sin (θ + q) is

A) 1	B) 0
C) 2	D) 4

Answer & Explanation Answer: A) 1

Explanation:

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Q:

If θ is acute angle and tan θ – cot θ = 0, then what is the value of $\tan^{26} θ + \cot^{100} θ$ ?

A) -2	B) 0
C) 1	D) 2

Answer & Explanation Answer: D) 2

Explanation:

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Q:

${tanAcosec}^{2} A$ is equal to

A) (1 + tan2A)cotA	B) (1 - tan2A)cotA
C) √[(1 + tan2A)cotA]	D) √[(1 - tan2A)cotA]

Quantitative Aptitude - Arithmetic Ability Questions

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