6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If Rs. 782 be divided into three parts, proportional to $\frac{1}{2} : \frac{2}{3} : \frac{3}{4}$ , then the first part is?

A) Rs. 182	B) Rs. 190
C) Rs. 192	D) Rs. 204

Answer & Explanation Answer: D) Rs. 204

Explanation:

$R s . (782 * \frac{6}{23})$

Given ratio = $\frac{1}{2} : \frac{2}{3} : \frac{3}{4}$ = 6:8:9

1st part = $R s . (782 * \frac{6}{23})$ = Rs. 204

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Filed Under: Ratios and Proportions

369 76361

Q:

A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: C) 3

Explanation:

Area of the park = (60 x 40) = 2400 $m^{2}$

Area of the lawn = 2109 $m^{2}$

Area of the crossroads = (2400 - 2109) = 291 $m^{2}$

Let the width of the road be x metres. Then,

$60 x + 40 x - X^{2} = 291$

$x^{2} - 100 x + 291 = 0$

(x - 97)(x - 3) = 0
x = 3.

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

84 76299

Q:

Find out the wrong number in the given sequence of numbers.

1, 2, 6, 15, 31, 56, 91

A) 31	B) 91
C) 56	D) 15

Answer & Explanation Answer: B) 91

Explanation:

1, 1 + 1² = 2, 2 + 2² = 6, 6 + 3² = 15, 15 + 4² = 31, 31 + 5² = 56, 56 + 6² = 92

Last number of given series must be 92 not 91.

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Filed Under: Odd Man Out

54 76269

Q:

Find the next number in te given series ?

5, 25, 61, 113, ...

A) 142	B) 181
C) 156	D) 179

Answer & Explanation Answer: B) 181

Explanation:

Here the series follow the rule that

$1^{2} + 2^{2} = 5$

$3^{2} + 4^{2} = 25$

$5^{2} + 6^{2} = 61$

$7^{2} + 8^{2} = 113$

SO NEXT IS, $9^{2} + 10^{2} = 181$

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Filed Under: Odd Man Out
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

13 76099

Q:

A man and his wife appear in an interview for two vacancies in the same post. The probability of husband's selection is (1/7) and the probability of wife's selection is (1/5). What is the probability that only one of them is selected ?

A) 2/7	B) 1/7
C) 3/4	D) 4/5

Answer & Explanation Answer: A) 2/7

Explanation:

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Filed Under: Probability

340 75934

Q:

What is the rate of interest p.c.p.a.?

I. An amount doubles itself in 5 years on simple interest.

II. Difference between the compound interest and the simple interest earned on a certain amount in 2 years is Rs. 400.

III. Simple interest earned per annum is Rs. 2000

A) I only	B) II and III only
C) All I, II and III	D) I only or II and III only

Answer & Explanation Answer: D) I only or II and III only

Explanation:

$I . \frac{P * R * 5}{100} = P \Leftrightarrow R = 20$

$I I . P {(1 + \frac{R}{100})}^{2} - P - \frac{P * R * 2}{100} = 400 = > p R^{2} = 4000000$

$I I I . \frac{P * R * 1}{100} = 2000 = > P R = 200000$

$\frac{P R^{2}}{P R} = \frac{4000000}{200000} \Leftrightarrow R = 20$

Thus I only or (II and III) give answer.

Correct answer is (D)

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

92 75892

Q:

A's salary is 40% of B's salary which is 25% of C's salary. What percentage of C's salary is A's salary ?

A) 10	B) 20
C) 30	D) 40

Answer & Explanation Answer: A) 10

Explanation:

A's Salary = 40% of B = 40% of (25% of C) = 40/100[(52/100)*100] % of C = 10% of C.

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Filed Under: Percentage

228 75287

Q:

Cost of 3 cricket balls = cost of 2 pairs of leg pads.

Cost of 3 pairs of leg pads = cost of 2 pairs of gloves.

Cost of 3 pairs of gloves = cost of 2 cricket bats.

If a cricket bat costs Rs 54, what is the cost of a cricket ball.

A) Rs 12	B) Rs 16
C) Rs 14	D) Rs 18

Answer & Explanation Answer: B) Rs 16

Explanation:

3 pairs of gloves = 2 x 54 = 108 ; 1 pairs of gloves = 36
3 pairs of leg pads = 2 x 36 = 1 pairs of leg pads = 24
3 cricket balls = 2 x 24 = 48
cost of 1 cricket ball = 16;

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Filed Under: Profit and Loss

60 74143

Quantitative Aptitude - Arithmetic Ability Questions

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