6500+ Quantitative Aptitude Questions and Answers With Explanation

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 cot 60° + cosec 60° = x, then the value of x is

A) (1-2√2)/√2	B) (√3-4)/2√3
C) 1	D) √3

Answer & Explanation Answer: D) √3

Explanation:

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Q:

If Cos θ = 5/13, then Cosec θ = ?

A) 5/12	B) 12/5
C) 13/5	D) 13/12

Answer & Explanation Answer: D) 13/12

Explanation:

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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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Filed Under: Ratios and Proportions
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Q:

The length of one side of a rhombus is 61 cm and its area is 1320 sq.cm. Find the sum of the lengths of its diagonals?

A) 120 cm	B) 122 cm
C) 142 cm	D) 71 cm

Answer & Explanation Answer: B) 122 cm

Explanation:

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Q:

In a bag the ratio of red balls to green balls is 4 : 9. If 6 more green balls were added to the bag, the ratio of red balls to green balls would become 1 : 3. How many red balls are there in the bag?

A) 9	B) 10
C) 8	D) 12

Answer & Explanation Answer: C) 8

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

Quantitative Aptitude - Arithmetic Ability Questions

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