6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

36 identical books must be arranged in rows with the same number of books in each row. Each row must contain at least three books and there must be at least three rows. A row is parallel to the front of the room. How many different arrangements are possible ?

A) 5	B) 6
C) 7	D) 8

Answer & Explanation Answer: A) 5

Explanation:

The following arrangements satisfy all 3 conditions.

Arrangement 1: 3 books in a row; 12 rows.

Arrangement 2: 4 books in a row; 9 rows.
Arrangement 3: 6 books in a row; 6 rows.
Arrangement 4: 9 books in a row; 4 rows.
Arrangement 5: 12 books in a row; 3 rows.

Therefore, the possible arrangements are 5.

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Filed Under: Permutations and Combinations
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Q:

A lady took loan from a bank at the rate of 12% p.a. simple interest. After 3 years she had to pay Rs. 5400 interest only for the period. The principal amount borrowed by her was :

A) Rs. 15,000	B) Rs. 1,50,000
C) Rs. 1500	D) Rs. 1,62,000

Answer & Explanation Answer: A) Rs. 15,000

Explanation:

Principal = Rs.(100 x 5400)/(12 x 3)= Rs. 15000.

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Filed Under: Simple Interest
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3 4686

Q:

The true-discount on Rs.2480 due after a certain period at 5% is Rs.80. Find the due period.

A) 6months	B) 5months
C) 8months	D) 3months

Answer & Explanation Answer: C) 8months

Explanation:

P.W= Amount – (T.D)

Time = $\frac{100 \times T D}{P W \times R}$

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Filed Under: True Discount
Exam Prep: Bank Exams
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6 4685

Q:

Simple interest on a certain sum at 7% per annum for 4 years is Rs. 2415. What will be the compound interest on the same principal at 4% per annum in two years?

A) Rs. 704	B) Rs. 854
C) Rs. 893	D) Rs. 914

Answer & Explanation Answer: A) Rs. 704

Explanation:

We know that,

$S . I . = \frac{PTR}{100} \Rightarrow P = \frac{S . I x 100}{T x R} And also, C . I = P [{(1 + \frac{R}{100})}^{n} - 1]$

From given data, P = Rs. 8625

Now, C.I = $8625 [{(1 + \frac{4}{100})}^{2} - 1] = 8625 [{(\frac{26}{25})}^{2} - 1] = 8625 [\frac{676}{625} - 1] = 8625 x \frac{51}{625} C . I = Rs . 703.80$

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Filed Under: Compound Interest
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11 4682

Q:

Sharan and Mayukh, working together, can complete a task in 18 days. However, Mayukh works alone and leaves after completing 1/3 of the task. Then, Sharan takes over and completees the remaining work by himself. As a result, the duo could complete the task in 40 days. How many days would Sharan alone have taken to do the job if Mayuk' had worked faster than Sharan ?

A) 24	B) 45
C) 72	D) 30

Answer & Explanation Answer: B) 45

Explanation:

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

If two cards are taken one after another without replacing from a pack of 52 cards. What is the probability for the two cards be Ace ?

A) 51/1221	B) 42/221
C) 1/221	D) 52/1245

Answer & Explanation Answer: C) 1/221

Explanation:

Total Combination of getting a card from 52 cards = ${}^{52}C_{1}$

Because there is no replacement, so number of cards after getting first card= 51

Now, Combination of getting an another card= ${}^{51}C_{1}$

Total combination of getting 2 cards from 52 cards without replacement= ( ${}^{52}C_{1} \times {}^{51}C_{1}$ )

There are total 4 Ace in stack. Combination of getting 1 Ace is = ${}^{4}C_{1}$

Because there is no replacement, So number of cards after getting first Ace = 3

Combination of getting an another Ace = ${}^{3}C_{1}$

Total Combination of getting 2 Ace without replacement= ${}^{4}C_{1} \times {}^{3}C_{1}$

Now,Probability of getting 2 cards which are Ace = $\frac{{}^{4}C_{1} \times {}^{3}C_{1}}{{}^{52}C_{1} \times {}^{51}C_{1}}$ = 1/221.

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Filed Under: Permutations and Combinations
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Q:

When $720 is invested for 36 months it earns $205.20 simple interest. Find the yearly interest rate.

A) 7.5%	B) 8.5%
C) 9.5%	D) 10.5%

Answer & Explanation Answer: C) 9.5%

Explanation:

r = (100 x I)/(P x T)

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Filed Under: Simple Interest
Exam Prep: Bank Exams
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3 4677

Q:

Eighteen years ago, a mother was three times as old as her daughter. Now the mother is only twice as old as her daughter. Then the sum of the present ages of daughter and the mother is ?

A) 84 yrs	B) 96 yrs
C) 116 yrs	D) 108 yrs

Answer & Explanation Answer: D) 108 yrs

Explanation:

Let the present ages of the mother and daughter be 2x and x years respectively.
Then, (2x - 18) = 3(x - 18) => x = 36
Required sum = (2x + x) = 108 years.

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Filed Under: Problems on Ages
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