6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A certain sum of money is invested for one year at a certain rate of simple interest. If the rate of interest is 3% higher, then the invest earned will be 25% more than the interest earned earlier. What is the earlier rate of interest ?

A) 4% p.a.	B) 6% p.a.
C) 8% p.a.	D) 12% p.a.

Answer & Explanation Answer: D) 12% p.a.

Explanation:

If the interest earned is 25% more than the earlier interest then the rate of interest also should be 25% higher than the earlier rate.
Let the earlier rate of interest be x%.
Now it will be (x + 3)%
% increase = (x + 3) - x/x * 100 = 25
=> x = 12%

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Q:

What is the value of $\sqrt[3]{512} + \sqrt{169} + \sqrt[3]{216} + \sqrt{225}$ ?

A) 48	B) 32
C) 42	D) 36

Answer & Explanation Answer: C) 42

Explanation:

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Filed Under: Simplification
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Q:

If $\tan^{4} θ + \tan^{2} θ = 2$ , then $\sec^{4} θ - \sec^{2} θ = ?$

A) 0	B) 3
C) 2	D) 1

Answer & Explanation Answer: C) 2

Explanation:

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Filed Under: Simplification
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Q:

Maneela, Raghu and Aravind have some jems with each of them. Five times the number of jems with Raghu equals seven times the number of jems with Maneela while five times the number of jems with Maneela equals seven times the number of jems with Aravind. What is the minimum number of jems that can be there with all three of them put together ?

A) 108	B) 107
C) 109	D) 110

Answer & Explanation Answer: C) 109

Explanation:

From given data,

R : M = 5 : 7

M : A = 5 : 7

R : M : A = 25 : 35 : 49

25 + 35 + 49 = 109

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Filed Under: Ratios and Proportions
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Q:

In the following question, select the odd word from the given alternatives.

A) Rain	B) Steam
C) Ice	D) Evaporation

Answer & Explanation Answer: D) Evaporation

Explanation:

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Filed Under: Odd Man Out
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Q:

Which of the following year is a leap year?

A) 2500	B) 1700
C) 1900	D) 2400

Answer & Explanation Answer: D) 2400

Explanation:

NOTE: For a century year,it is divided by 400 and leaving a ramainder of 0 results a leap year.

So,2400 when divided by 400 leaves a remainder 0.

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Filed Under: Calendar

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Q:

The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A ?

A) 12	B) 13
C) 14	D) 15

Answer & Explanation Answer: A) 12

Explanation:

(A+B) - (B-C) = 12 <=> A - C = 12.

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Q:

Find the compound interest on Rs. 6,500 for 4 years if the rate of interest is 10% p.a. for the first 2 years and 20% per annum for the next 2 years?

A) Rs. 3845	B) Rs. 4826
C) Rs. 5142	D) Rs. 4415

Answer & Explanation Answer: B) Rs. 4826

Explanation:

We know the formula for calculating

The compound interest $C = P [{(1 + \frac{r}{100})}^{n} - 1]$ where P = amount, r = rate of interest, n = time

Here P = 5000, r1 = 10, r2 = 20

Then $C = 6500 [{(1 + \frac{10}{100})}^{2} x {(1 + \frac{20}{100})}^{2} - 1] = 6500 x \frac{1856}{2500} = \frac{65 x 1856}{25}$

C = Rs. 4826.

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Filed Under: Compound Interest
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Quantitative Aptitude - Arithmetic Ability Questions

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