6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Area of _____ equals square of its side.

A) Rhombus	B) Cyclic quadrilateral
C) Rectangle	D) Square

Answer & Explanation Answer: D) Square

Explanation:

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Q:

If sec (4x - 50°) = cosec(50° - x), Then the value of x is

A) 45°	B) 90°
C) 30°	D) 60°

Answer & Explanation Answer: C) 30°

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Q:

What is the value of $14^{3} + 16^{3} + 18^{3} + . . . + 30^{3} ?$

A) 134576	B) 120212
C) 115624	D) 111672

Answer & Explanation Answer: D) 111672

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Q:

If a:b = 3:8, find the value of (5a 3b)/(2a + b).

A) 9/14	B) 14/9
C) -9/14	D) -14/9

Answer & Explanation Answer: C) -9/14

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Q:

If $\frac{a^{2} + b^{2}}{c^{2}} = \frac{b^{2} + c^{2}}{a^{2}} = \frac{c^{2} + a^{2}}{b^{2}} = \frac{1}{k} (k \neq 0)$ then k =

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

Answer & Explanation Answer: D) 1/2

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Q:

The sum of a number and 4 times its reciprocal is 5. What is the number?

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

Answer & Explanation Answer: A) 4

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Q:

The ratio of incomes of C and D is 3 : 2. Ratio of income of D and E is 5 : 4. If one-third of C’s income is Rs 4000 more than the half of E’s income, then what is the D’s income (in Rs)?

A) 40000	B) 43000
C) 50000	D) 60000

Answer & Explanation Answer: A) 40000

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Filed Under: Ratios and Proportions
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Q:

Given that the polynomial $(x^{2} + ax + b)$ leaves that same remainder when by (x –1) or (x + 1) What are the values of a and b respectively?

A) 4 and 0	B) 0 and 3
C) 3 and 0	D) 0 and any interger

Answer & Explanation Answer: D) 0 and any interger

Explanation:

Since x^2+ ax + b when divided by x-1 or x+1 leaves the same remainder

So on putting x=1 and x=-1 we get the same value

1+a+b = 1-a+b

2a=0

a=0

here b can take any value as it will always get cancelled out

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Quantitative Aptitude - Arithmetic Ability Questions

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