6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In the given figure, if QR/XY = 14/9 and PY = 18 cm, then what is the value (in cm) of PQ?

A) 28	B) 18
C) 21	D) 24

Answer & Explanation Answer: A) 28

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

2 40761

Q:

$Sinθ Cos (90 - θ) + Cosθ Sin (90 - θ) =$

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

Answer & Explanation Answer: A) 1

Explanation:

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Filed Under: Simplification
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0 40754

Q:

If $tanα = \sqrt{2} + 1$ , then the value of $tanα - cotα$ is

A) √2 - 1	B) 2√2
C) 2	D) 1

Answer & Explanation Answer: C) 2

Explanation:

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Q:

A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:

A) 720	B) 900
C) 1200	D) 1800

Answer & Explanation Answer: C) 1200

Explanation:

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Filed Under: Volume and Surface Area

87 40580

Q:

A car owner buys petrol at Rs 7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year ?

A) 6.23	B) 7.98
C) 8.97	D) 9.89

Answer & Explanation Answer: B) 7.98

Explanation:

Total quantity of petrol consumed in 3 years =(4000/7.50+4000/8+4000/8.50) liters

= 4000(2/15+1/8+2/17) liters

= 76700/51 liters

Total amount spent = Rs. (3 x 4000) = Rs. 12000.

$\therefore$ Average cost = Rs. (12000*51/76700) = Rs. 7.98.

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Filed Under: Average

57 40560

Q:

Of the four numbers, whose average is 60, the first is one-fourth of the sum of the last three. The first number is :

A) 17	B) 29
C) 36	D) 48

Answer & Explanation Answer: D) 48

Explanation:

Let the first number be x,

Then, sum of the four numbers = x + 4x = 5x.

so, 5x/4 = 60 or x = (60 * 4) / 5 = 48.

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119 40555

Q:

Determine the value of m for which $4 x + \frac{\sqrt{x}}{6} + \frac{m^{2}}{4}$ is a perfect square.

A) 1/24	B) 1/12
C) 12	D) 24

Answer & Explanation Answer: B) 1/12

Explanation:

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Q:

The ratio of the present ages of P and Q is 3 : 4. Five years ago, the ratio of their ages was 5 : 7. Find their present ages.

Answer

As the ratio of their present ages is 3 : 4 , let their present ages be 3X and 4X.

So, 5 years ago, as the ratio of their ages was 5 : 7, we can write (3x-5) : (4x-5) = 5 : 7. Solving, we get X = 10. Hence, their present ages are 3X = 30 and 4X = 40

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Subject: Problems on Ages

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Quantitative Aptitude - Arithmetic Ability Questions

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