6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Δ DEF is right angled at E. If m∠F = 45°, then what is the value of 2 Sin F x Cot F?

A) √2	B) 2
C) 1/√2	D) 1/2

Answer & Explanation Answer: A) √2

Explanation:

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Q:

What is the equation of a line which has 3 as x-intercept and -5 as y-intercept?

A) 3x - 5y = 15	B) 5x - 3y = 15
C) 5x + 3y = 15	D) 3x + 5y = 15

Answer & Explanation Answer: B) 5x - 3y = 15

Explanation:

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Q:

The diagonal of a square equals the side of an equilateral triangle. If the area of the square is 12 sq cm, what is the area of the equilateral triangle?

A) 12√3 sq cm	B) 6√3 sq cm
C) 12√2 sq cm	D) 24 sq cm

Answer & Explanation Answer: B) 6√3 sq cm

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Q:

If $x + \frac{1}{x} = 5,$ then the value of $\frac{x}{1 + x + x^{2}}$ is

A) 1/5	B) 1/6
C) 5	D) 6

Answer & Explanation Answer: B) 1/6

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Q:

Three solid spheres have their radii r1, r2 and r3. The spheres are melted to form a solid sphere of bigger radius. Then the radius of the new sphere is

A) r1+r2+r3	B) r12+r22+r3212
C) r13+r23+r3313	D) r14+r24+r3414

Answer & Explanation Answer: C) r13+r23+r3313

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Q:

The ten's digit of a 2digit number is greater than the units digit by 4. If we subtract 36 from the number, the new number obtained is a number formed by interchange of the digits. Find the number.

A) 37	B) 18
C) 81	D) 73

Answer & Explanation Answer: D) 73

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Q:

Each question contains Quantity I and Quantity II. Read the contents clearly and answer your questions accordingly.

Quantity I: 3 years ago the ratio of age of A and B is 3: 4 after 2 years the sum of their ages is 45. Then find the present age of A?

Quantity II: 5 years ago, the ratio of age of p and Q id 3: 4 P’s age after 6 years is equal to the present age of Q. the find the present age of P?

A) Quantity I > Quantity II	B) Quantity I ≥ Quantity II
C) Quantity I < Quantity II	D) Quantity I < Quantity II

Answer & Explanation Answer: C) Quantity I < Quantity II

Explanation:

Quantity I= Let 3 year ago the age of A and B be 3x and 4x respectively

Then ATQ 3x+5+4x+5=45 X=5

Hence present age of A=3x+3=18year

Quantity II== Let 5 year ago the age of p and q be 3x and 4x respectively

Then ATQ

3x+11=4x+5

X=6 Hence present age of P=3x+5=23

Hence Quantity I < Quantity II

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Q:

The ratio of present ages of Rambha and Sarvesh is 8:5. After 7 years the ratio of their ages will be 5:4. What is Rambha's present age?

A) 5	B) 30
C) 8	D) 48

Quantitative Aptitude - Arithmetic Ability Questions

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