6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

(5x- 3)(x + 4) - (2x + 5)(3x - 4) = ?

A) -x2+10x-8	B) -x2+10x+8
C) x2+10x-8	D) x2+10x+8

Answer & Explanation Answer: B) -x2+10x+8

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

3 81004

Q:

By selling 45 lemons for Rs 40, a man loses 20%. How many should he sell for Rs 24 to gain 20% in the transaction ?

A) 16	B) 18
C) 20	D) 22

Answer & Explanation Answer: B) 18

Explanation:

Let S.P. of 45 lemons be Rs. x.

Then, 80 : 40 = 120 : x or x = $\frac{40 \times 120}{80}$ = 60

For Rs.60, lemons sold = 45

For Rs.24, lemons sold = $\frac{45}{60} \times 24$ = 18.

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Filed Under: Profit and Loss

787 80706

Q:

Find the odd man out of the series?

128, 32, 14, 2.66, 0.88

A) 32	B) 14
C) 2.66	D) 0.88

Answer & Explanation Answer: B) 14

Explanation:

Here the given series is 128, 32, 14, 2.66, 0.88

128 / 4 = 32

32 / 3 = 10.666

10.666 / 4 = 2.666

2.666 / 3 = 0.888

Hence, the odd man in the given number series is 14.

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

7 80664

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 80632

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 80428

Q:

Find the unit place digit in the given expression.

${(153)}^{144} - {(115)}^{123} - {(111)}^{510} + {(216)}^{25}$

A) 1	B) 5
C) 6	D) 3

Answer & Explanation Answer: A) 1

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

1 80397

Q:

1 4 27 Sequence ...

Find the next two numbers in the above sequnce?

A) 256 & 3125	B) 3125, 46656
C) 46656, 859587	D) None

Answer & Explanation Answer: A) 256 & 3125

Explanation:

The above given sequence follows a pattern that,

$1 2^{2} = 4 3^{3} = 27 4^{4} = 256 5^{5} = 3125 6^{6} = 46656 and so on . . .$

Therefore, the next two numbers in the given sequence is 256 & 3125.

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

6 80381

Q:

∆UVW is right angled at V. If cosU = 8/17, then what is the value of sinW ?

A) 15/17	B) 17/8
C) 8/17	D) 17/15

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