6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The area of a square is 49 mm. What is the length of each side?

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

Answer & Explanation Answer: C) 7mm

Explanation:

$A = S^{2}$

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

1 8111

Q:

Which is better investment : 11% stock at 143 (or) 9 3/4% stock at 117 ?

A) Both are equally good	B) 9 3/4% stock at 117
C) Cannot be compared, as the total amount of investment is not given	D) 11% stock at 143

Answer & Explanation Answer: B) 9 3/4% stock at 117

Explanation:

Let investment in each case be Rs. (143 x 117).

Income in 1st case = Rs. $\frac{11}{143}$ x 143 x 117 = Rs. 1287.
Income in 2nd case = Rs. $\frac{39}{4 \times 117}$ x 143 x 117= Rs. 1394.25

Clearly, 9 3/4% stock at 117 is better.

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Filed Under: Stocks and Shares
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12 8101

Q:

The average age of Sita and Gita is 30 years. If Rita replaces Sita, then the average age will become 28 years and if Rita replaces Gita, then the average age will become 32 years. What are the respective ages (in years) of Sita, Gita and Rita?

A) 40, 44, 36	B) 44, 40, 36
C) 34, 26, 30	D) 30, 26, 34

Answer & Explanation Answer: C) 34, 26, 30

Explanation:

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

26 8098

Q:

In how many ways can the letters of the word 'LEADER' be arranged ?

A) 360	B) 420
C) 576	D) 220

Answer & Explanation Answer: A) 360

Explanation:

No. of letters in the word = 6
No. of 'E' repeated = 2
Total No. of arrangement = 6!/2! = 360

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT
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4 8095

Q:

From a bunch of flowers having 16 red roses and 14 white roses, four flowers have to be selected. In how many different ways can they be selected such that at least one red rose is selected?

A) 27405	B) 26584
C) 26585	D) 27404

Answer & Explanation Answer: D) 27404

Explanation:

Given total 16 Red roses and 14 White roses = 30 roses

Four flowers have to be selected from 30 i.e, $C_{4}^{30}$ = 27405 Ways

Now, atleast one Red rose is selected i.e, 27405(total) - 1(all four are white roses) = 27404 ways.

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Filed Under: Permutations and Combinations
Exam Prep: CAT
Job Role: Bank Clerk

10 8089

Q:

A straight fence is to be constructed from posts 6 inches wide and separated by lengths of chain 5 feet long. If a certain fence begins and ends with a post, which of the following could be the length of the fence in feet? (12 inches = 1 foot).

A) 17	B) 18
C) `19	D) 20

Answer & Explanation Answer: A) 17

Explanation:

The fence will consist of one more post than there are chains. (e.g. P-c-P-c-P).

Therefore, a total length has to be a multiple of the length of the chain plus one post (5.5) plus one post extra.We have length = (5.5n + 0.5), where n can be any positive whole number. If n= 3, length =17

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Filed Under: Numbers
Exam Prep: GRE

3 8087

Q:

Compound interest on a certain sum of money at 20% per annum for 2 years is Rs.5995. What is the SI on the same money at 8% per annum for 6 years ?

A) Rs. 5989	B) Rs. 6540
C) Rs. 7844	D) Rs. 6789

Answer & Explanation Answer: B) Rs. 6540

Explanation:

Given C.I = 5984, R = 20% , T = 2yrs

$C . I = P [(1 + {(\frac{20}{100})}^{2}) - 1]$

5984 = $C.I=P\left [ \left ( 1&amp;plus;\left ( \frac{20}{100}\right )^{2} \right )-1 \right ]$

=> P = (5995x25)/11

P = Rs. 13625

Now S.I = PTR/100

SI = (13625 x 8 x 6)/100 = Rs. 6540

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Filed Under: Compound Interest
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22 8081

Q:

The Age of Ashok , Deepak and Ramu are in the proportion of 3:5:6. If the difference between the ages of Deepak and Ramu is 5 years . what is Ashok's age in years?

Answer

Suppose the ages of Ashok, Deepak and Ramu are 3x, 5x and 6x years respectively.

$6x-5x=5\: \: \Rightarrow x=5$