6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?

A) 10 min. 20 sec.	B) 11 min. 45 sec.
C) 12 min. 30 sec.	D) 14 min. 40 sec.

Answer & Explanation Answer: D) 14 min. 40 sec.

Explanation:

Part filled in 4 minutes =4(1/15+1/20) = 7/15

Remaining part =(1-7/15) = 8/15

Part filled by B in 1 minute =1/20 : 8/15 :: 1:x

x = (8/15*1*20) = $10 \frac{2}{3} m i n = 10 m i n 40 s e c$

The tank will be full in (4 min. + 10 min. + 40 sec.) = 14 min. 40 sec

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Filed Under: Pipes and Cistern

194 80298

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

86 80067

Q:

In each of these questions, two equations (I) and (II) are given.

$I . 2 x^{2} + 19 x + 42 = 0 II . 4 y^{2} + 43 y + 30 = 0$

A) x > y	B) x < y
C) x ≥ y	D) x ≤ y

Answer & Explanation Answer:

Explanation:

I. 2x2 + 19x + 42 = 0

2x2 + 12x + 7x + 42 = 0

2x (x+6) + 7(x +6) = 0

(2x+7) (x+6) = 0 x = -7/2, -6 I

I. 4y2 + 43y + 30 = 0

4y2 +40y + 3y + 30 = 0

4y(y + 10) + 3(y + 10) (4y + 3)(y + 10) = 0

y = -3/4, -10

So answer is no relation.

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Filed Under: Simplification

2 79385

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
Exam Prep: Bank Exams
Job Role: Bank PO

287 79323

Q:

Simplify the following and find the value of ?

$\frac{1}{3} of ? + \frac{4}{7} of \frac{11}{4} of 539 = 31 % of 2000$

A) 1134	B) 1237
C) 1187	D) 1249

Answer & Explanation Answer: A) 1134

Explanation:

$\frac{1}{3} x ? + \frac{4}{7} x \frac{11}{4} x 539 = \frac{31}{100} x 2000 ? = 378 x 3 ? = 1134$

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Filed Under: Simplification
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

18 79302

Q:

Simplify : ${(25)}^{\frac{3}{2}}$

A) 625	B) 15625
C) 125	D) √125

Answer & Explanation Answer: C) 125

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 79269

Q:

Solve the following :

$\{38 - (60 \div 5 x 16 - 8 \div 2 \div 3)\} = ?$

A) 22	B) 29
C) 30	D) 37

Answer & Explanation Answer: A) 22

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

2 79187

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 79155

Quantitative Aptitude - Arithmetic Ability Questions

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