6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If the diagonal of a rectangle is 17cm long and its perimeter is 46 cm. Find the area of the rectangle.

A) 110	B) 120
C) 130	D) 140

Answer & Explanation Answer: B) 120

Explanation:

let length = x and breadth = y then

2(x+y) = 46 => x+y = 23

x²+y² = 17² = 289

now (x+y)² = 23²

=> x²+y²+2xy= 529

=> 289+ 2xy = 529

=> xy = 120

area = xy = 120 sq.cm

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Filed Under: Area
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285 78787

Q:

ΔXYZ is right angled at Y. If sinX = 12/13, then what is the value of cosecZ ?

A) 5/12	B) 5/13
C) 13/5	D) 13/12

Answer & Explanation Answer: C) 13/5

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

0 78475

Q:

A clock is set right at 5 a.m. The clock loses 16 minutes in 24 hours.What will be the true time when the clock indicates 10 p.m. on 4th day?

A) 11pm	B) 12pm
C) 1pm	D) 2pm

Answer & Explanation Answer: A) 11pm

Explanation:

Time from 5 am. on a day to 10 pm. on 4th day = 89 hours.

Now 23 hrs 44 min. of this clock = 24 hours of correct clock.

356/15 hrs of this clock = 24 hours of correct clock

89 hrs of this clock = (24 x 31556 x 89) hrs of correct clock.

= 90 hrs of correct clock.

So, the correct time is 11 p.m.

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Filed Under: Clocks
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241 78451

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

370 78100

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 77755

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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Q:

At what rate percent per annum will a sum of money double in 8 years.

A) 12.5%	B) 13.5%
C) 11.5%	D) 14.5%

Answer & Explanation Answer: A) 12.5%

Explanation:

Let principal = P, Then, S.I.= P and Time = 8 years

We know that S.I. = PTR/100

Rate = [(100 x P)/ (P x 8)]% = 12.5% per annum.

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Filed Under: Simple Interest
Exam Prep: GRE , CAT , Bank Exams
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466 77432

Q:

What will come in place of the question mark(?) in the following question ?

56% of 870 + 82% of 180 = 32% of 90 + ?

A) 777	B) 666
C) 606	D) 789

Answer & Explanation Answer: C) 606

Explanation:

56% of 870 = 56x870/100 = 487.20

82% of 180 = 82x180/100 = 147.60

32% of 90 = 32x90/100

487.20 + 147.6 - 28.8 = ?

? = 634.8 - 28.8

? = 606.

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Filed Under: Percentage
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8 77290

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