6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If $\tan^{2} A + \cot^{2} A + 2 = x$ , then the value of x is

A) tan2Acosec2A	B) secAcosecA
C) sec2Acosec2A	D) tanAcosecA

Answer & Explanation Answer: C) sec2Acosec2A

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Q:

If $x = \frac{\sqrt{5} + 1}{\sqrt{5} - 1} & y = \frac{\sqrt{5} - 1}{\sqrt{5} + 1}$ , then find the value of $x^{2} - y^{2}$ .

A) √5	B) 2√5
C) 3√5	D) 4√5

Answer & Explanation Answer: C) 3√5

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Q:

Select the odd word/letters/number/number pair from the given alternatives.

A) LMO	B) PQS
C) XYB	D) DEG

Answer & Explanation Answer: C) XYB

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Filed Under: Odd Man Out
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Q:

If the difference between the roots of the equation ${Ax}^{2} - Bx + C = 0$ is 4, then which of the following is TRUE?

A) B2 – 16A2 = 4AC + 4B2	B) B2 – 10A2 = 4AC + 6A2
C) B2 – 8A2 = 4AC + 10A2	D) B2 – 16A2 = 4AC + 8B2

Answer & Explanation Answer: B) B2 – 10A2 = 4AC + 6A2

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Q:

ABCD is a quadrilateral with AB = 9 cm, BC = 40 cm, CD = 28 cm, DA = 15 cm and angle ABC is a right –angel
What is the difference between perimeter of triangle ABC and perimeter of triangle ADC?

A) 4 cm	B) 5 cm
C) 6 cm	D) 7 cm

Answer & Explanation Answer: C) 6 cm

Explanation:

Perimeter of triangle ABC – Perimeter of triangle ADC = (9+40+41) - (15+28+41) = 6 cm

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Filed Under: Volume and Surface Area
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Q:

A chord of length 16 cm is drawn in a circle of radius 10 cm. The distance of the chord from the centre of the circle is

A) 8cm	B) 6cm
C) 4cm	D) 12cm

Answer & Explanation Answer: B) 6cm

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Filed Under: Volume and Surface Area
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Q:

How many natural numbers between 15 and 85 are divisible by 7?

A) 9	B) 10
C) 8	D) 7

Answer & Explanation Answer: B) 10

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Filed Under: Problems on Numbers
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Q:

The value of 122 + 345 - 3 / 1116 x 372 is

A) 466	B) 469
C) 446	D) 460

Quantitative Aptitude - Arithmetic Ability Questions

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