6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A certain number of men can finish a piece of work in 100 days. If there were 10 men less, it would take 10 days more for the work to be finished. How many men were there originally?

A) 75	B) 82
C) 100	D) 110

Answer & Explanation Answer: D) 110

Explanation:

Originally let there be x men.

Less men, More days (Indirect Proportion)

Therefore, (x-10) : x :: 100 :110

=> (x - 10) * 110 = x * 100 => x= 110

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Filed Under: Chain Rule

97 44464

Q:

$4 + (\frac{1}{6}) [\{- 10 x (25 - 13 - 3)\} \div (- 5)] = ?$

A) 8	B) 9
C) 6	D) 7

Answer & Explanation Answer: D) 7

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 44414

Q:

A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is ?

A) 45 kmph	B) 25 kmph
C) 30 kmph	D) 50 kmph

Answer & Explanation Answer: D) 50 kmph

Explanation:

Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec.
[(25/2) x (18/5)] km/hr = 45 km/hr.
Let the speed of the train be 'S' km/hr.
Then, relative speed = (S - 5) km/hr.
S - 5 = 45 => S = 50 km/hr.

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Exam Prep: AIEEE , Bank Exams , CAT , GATE
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49 44369

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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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

121 44347

Q:

What is the simplified value of

$\frac{1}{\sqrt{25} - \sqrt{24}} - \frac{1}{\sqrt{24} - \sqrt{23}} + \frac{1}{\sqrt{23} - \sqrt{22}} - \frac{1}{\sqrt{22} - \sqrt{21}} + \frac{1}{\sqrt{21} - \sqrt{20}}$ ?

A) 5 + 2√5	B) 5 – 5√2
C) √25 + √21	D) √25 – 4

Answer & Explanation Answer: A) 5 + 2√5

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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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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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

52 44255

Q:

Calculate the value of $\frac{(59881 \times 59881 - 49681 \times 49681)}{10200}$ ?

A) 110956	B) 109562
C) 109652	D) 109662

Answer & Explanation Answer: B) 109562

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 44148

Q:

On 8th Dec, 2007 Saturday falls. What day of the week was it on 8th Dec, 2006?

A) Saturday	B) Friday
C) Monday	D) Tuesday

Answer & Explanation Answer: B) Friday

Explanation:

The year 2006 is an ordinary year. So, it has 1 odd day.

So, the day on 8th Dec, 2007 will be 1 day beyond the day on 8th Dec, 2006.

But, 8th Dec, 2007 is Saturday

S0, 8th Dec, 2006 is Friday.

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Filed Under: Calendar

183 44143

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