6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If $P = 2^{2} + 6^{2} + 10^{2} + 14^{2} + . . . 94^{2} and Q = 1^{2} + 5^{2} + 9^{2} + . . . 81^{2}$ , then what is the value of P – Q?

A) 24645	B) 26075
C) 29317	D) 31515

Answer & Explanation Answer: B) 26075

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Filed Under: Simplification
Exam Prep: Bank Exams

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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

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Q:

The mid points of AB and AC of the Δ ABC are P and Q respectively. If PQ = 6 cm, then the side BC is

A) 10 cm	B) 12 cm
C) 8 cm	D) 14 cm

Answer & Explanation Answer: B) 12 cm

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Filed Under: Quantitative Aptitude - Arithmetic Ability

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Q:

Breadth of a rectangle is equal to the diagonal of the square whose side is 2.5√2 cm. Ratio between length and breadth of rectangle is 3 : 1. Find the area of the rectangle (in cm2).

A) 75	B) 90
C) 85	D) 80

Answer & Explanation Answer: A) 75

Explanation:

Diagonal of Square = Side √2= 2.5√2 × √2= 5 cm
Breadth = 5 cm
Length of rectangle = 5 × 3 = 15 cm
Area of rectangle = 15 × 5 = 75 cm2

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams , GATE

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Q:

Which of the following quadratic equations has real roots?

A) 4x2 - 7x + 5 = 0	B) 5x2 - 11x + 7 = 0
C) 5x2 - 11x + 8 = 0	D) 2x2 - 7x + 5 = 0

Answer & Explanation Answer: D) 2x2 - 7x + 5 = 0

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Q:

The diameters of two cylinders are in the ratio 3:2 and their volumes are equal. The ratio of their heights is

A) 2:3	B) 3:2
C) 9:4	D) 4:9

Answer & Explanation Answer: D) 4:9

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

If cosπ/4c - tanπ/4c = x, then x is

A) (√3+4)/2√3	B) (2√2-1)/2
C) (1-√2)/√2	D) 5/√3

Answer & Explanation Answer: C) (1-√2)/√2

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Q:

If $cotA / \sqrt (1 + \cot^{2} A) = x$ , then the value of x is

A) sinA	B) cosecA
C) secA	D) cosA

Quantitative Aptitude - Arithmetic Ability Questions

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