6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The compound interest on a certain sum for 2 years at 10% per annum is Rs. 1155. The simple interest on the same sum for double the time at half the rate percent per annum is ?

A) Rs. 1100	B) Rs. 5500
C) Rs. 1400	D) Rs. 4120

Answer & Explanation Answer: A) Rs. 1100

Explanation:

Let the sum be Rs.x. Then,

$[x {(1 + \frac{10}{100})}^{2} - x] = 1155$

$\Rightarrow x [{(\frac{11}{10})}^{2} - 1] = 1155$

=> x =5500

sum = Rs. 5500.

So, S.I = Rs. $(\frac{5500 \times 5 \times 4}{100})$ = 1100

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Filed Under: Compound Interest
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2 6382

Q:

A girl want to read a complete book. She read 2/5 part of a book on 1st day, 34% on second day and remaining pages in next two days. On those two days she read equal number of pages. If she read 52 pages on last day, then find out total number of pages that the book contain ?

A) 400	B) 525
C) 325	D) 475

Answer & Explanation Answer: A) 400

Explanation:

Let the total number of pages in the book be 'x'.

From given data,

2x/5 + 34x/100 + 52 + 52 = x

=> 40x + 34x + 10400 = 100x

=> 26x = 10400

=> x = 400.

Hence, total pages in the book are 400.

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Filed Under: Percentage
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7 6381

Q:

Which of the following statements is not correct?

A) log10 = 1	B) log (2 + 3) = log (2 x 3)
C) log1 = 0	D) log (1 + 2 + 3) = log 1 + log 2 + log 3

Answer & Explanation Answer: B) log (2 + 3) = log (2 x 3)

Explanation:

log (2 + 3) = log 5

log (2 x 3) = log 2 + log 3

log (2 + 3) $\neq$ log (2 x 3)

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Filed Under: Logarithms
Exam Prep: Bank Exams
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21 6377

Q:

A passenger train covers the distance between station K and L, 40 minutes faster than a goods train. Find this distance between K and L if the average speed of the passenger train is 50 km/h and that of goods train is 30 km/h?

A) 50 kms	B) 48 kms
C) 46 kms	D) 44 kms

Answer & Explanation Answer: A) 50 kms

Explanation:

Let the distance be 'd' kms.

According to the given data,

$\frac{d}{30} - \frac{d}{50} = \frac{40}{60} hrs = > 6 d = 300 = > d = 50 kms .$

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Filed Under: Problems on Trains
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16 6376

Q:

In the following question a number series is given which has only one wrong number. You have to find out the wrong number?

7.5 47.5 87.5 157.5 247.5 357.5 487.5

A) 47.5	B) 87.5
C) 247.5	D) 357.5

Answer & Explanation Answer: A) 47.5

Explanation:

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Filed Under: Problems on Numbers
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14 6368

Q:

In how many ways, can zero or more letters be selected form the letters AAAAA?

A) 5	B) 6
C) 2	D) 8

Answer & Explanation Answer: B) 6

Explanation:

Selecting zero'A's= 1

Selecting one 'A's = 1

Selecting two 'A's = 1

Selecting three 'A's = 1

Selecting four 'A's = 1

Selecting five 'A's = 1

=> Required number ofways =6

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Filed Under: Permutations and Combinations

0 6367

Q:

8 years ago Ramana's mother was five times older than her daughter. After 8 years the mother will be twice older than her daughter. Find the present age of Ramana?

Answer

Let Ramana's age 8 years ago be x years and mother's age 8 years ago be 5x

$\Rightarrow$ 2(x + 16) = 5x + 16

$\Rightarrow$ 2x + 32 = 5x + 16

$\Rightarrow$ 3x = 16

$\Rightarrow$ $x=\frac{16}{3}$ years

Hence, Present age of Ramana = $x+8=\frac{16}{3}+8=\frac{40}{3}=13\frac{1}{3}$ years

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Subject: Problems on Ages

7 6364

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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Filed Under: Profit and Loss
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5 6361

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