6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The difference between compound interest and simple interest on a sum for two years at 8% per annum, where the interest is compounded annually is Rs.16. if the interest were compounded half yearly , the difference in two interests would be nearly

A) Rs.24.64	B) Rs.21.85
C) Rs.16	D) Rs.16.80

Answer & Explanation Answer: A) Rs.24.64

Explanation:

For 1st year S.I =C.I.

Thus, Rs.16 is the S.I. on S.I. for 1 year, which at 8% is thus Rs.200

i.e S.I on the principal for 1 year is Rs.200

Principle = $R s . \frac{100 * 200}{8 * 1}$ = Rs.2500

Amount for 2 years, compounded half-yearly

$R s . [2500 * {(1 + \frac{4}{100})}^{4}] = R s . 2924.4$

C.I = Rs.424.64

Also, $S . I = R s . (\frac{2500 * 8 * 2}{100}) = R s . 400$

Hence, [(C.I) - (S.I)] = Rs. (424.64 - 400) = Rs.24.64

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121 44223

Q:

Mark the odd man out of the series?

1 6 27 124 650

A) 27	B) 124
C) 6	D) 650

Answer & Explanation Answer: D) 650

Explanation:

The given series is 1 6 27 124 650

1

1 + 2 x 2 = 6

6 + 3 x 3 = 27

27 + 4 x 4 = 124

124 + 5 x 5 = 645 (NOT 650)

Hence, the odd man in the given number series is 650.

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11 44175

Q:

ΔABC is right angled at B. If m∠C = 45 deg, then find the value of (cosecA - √3).

A) (4-√3)/2	B) √2-√3
C) -√3/2	D) (√6-1)/√3

Answer & Explanation Answer: B) √2-√3

Explanation:

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0 44173

Q:

There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate

A) Rs.4972	B) Rs.3972
C) Rs.5972	D) Rs.2972

Answer & Explanation Answer: B) Rs.3972

Explanation:

Let P = Rs. 100. Then, S.I. Rs. 60 and T = 6 years.

R= $\frac{100 * 60}{100 * 6}$ =10% p.a

Now, P = Rs. 12000. T = 3 years and R = 10% p.a.

C.I= $R s . [12000 * {[1 + \frac{10}{100}]}^{3} - 1]$
=Rs.3972

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52 44169

Q:

If $\sqrt{15 \sqrt{15 \sqrt{15 \sqrt{15 \sqrt{15 . . . . . . . \infty}}}}}$ and x > 0, then find the value of $x^{2} + 4$ .

A) 125	B) 179
C) 200	D) 229

Answer & Explanation Answer: D) 229

Explanation:

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0 44148

Q:

$∆$ DEF is right angled at E. If m∠F = 60 deg, then find the value of (cotD - 2/√3).

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

Answer & Explanation Answer: B) 1/√3

Explanation:

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0 44086

Q:

Assume 57 + 59 + 109 = 0, then find the value of $57^{3} + 59^{3} + 109^{3}$

A) 1099701	B) 1099601
C) 1099801	D) 1098701

Answer & Explanation Answer: A) 1099701

Explanation:

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Q:

Find the Odd One Out?

3 24 186 1008 5040 20160

A) 24	B) 20160
C) 186	D) 5040

Answer & Explanation Answer: C) 186

Explanation:

The given number series is 3 24 186 1008 5040 20160

Here the given series follows a pattern that,

3

3 x 8 = 24

24 x 7 = 168 not 186

168 x 6 = 1008

1008 x 5 = 5040

5040 x 4 = 20160

Hence the Odd One in the number series is 186.

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3 43997

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