6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

What is the value of (√2/3 - cosec60)?

A) (√6-6)/3√3	B) (2-2√3)/√3
C) (1-√6)/√2	D) (4-√3)/2√3

Answer & Explanation Answer: A) (√6-6)/3√3

Explanation:

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0 80697

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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3 80657

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
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86 80626

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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194 80415

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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7 80358

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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Q:

If $a^{2} = 12, t h e n a^{4} = ?$

A) 144	B) 72
C) 36	D) 24

Answer & Explanation Answer: A) 144

Explanation:

Given a x a = 12

asked to find a x a x a x a = (a x a) x (a x a)

a⁴ = a² x a²

= 12 x 12

= 144.

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7 79923

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
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6 79875

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