6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If z = 6 - 2√3, then find the value of ${(\sqrt{z} - \frac{1}{\sqrt{z}})}^{2}$ .

A) 102 - 4634	B) 102 - 4632
C) 102 - 46324	D) 12 - 46324

Answer & Explanation Answer: C) 102 - 46324

Explanation:

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0 61574

Q:

The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?

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

Answer & Explanation Answer: B) 18

Explanation:

$\frac{2 (l + b)}{b} = \frac{5}{1}$ => 2l + 2b = 5b => 3b = 2l

b=(2/3)l

Then, Area = 216 cm²

=> l x b = 216 => l x (2/3)l =216

l = 18 cm.

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50 61517

Q:

Find the odd one in the given series ?

5-20-25, 10-40-50, 4-15-24, 25-100-125

A) 4-15-24	B) 5-20-25
C) 10-40-50	D) 25-100-125

Answer & Explanation Answer: A) 4-15-24

Explanation:

In each term second two numbers are multiples of the first number. But in 4-15-24 15 is not multiple of 4.

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5 61333

Q:

(51 + 52 + 53 + .........+100) is equal to

Answer

51 + 52 + 53 + ...........+ 100

= (1 + 2 + 3 + .... + 100) - (1 + 2 + 3 + ...... + 50)

= It is in the form of $\frac{n (n + 1)}{2} s e r i e s s u m m a t i o n$

= n1 = 100 , n2 = 50

= $[\frac{100 (100 + 1)}{2}] - [\frac{50 (50 + 1)}{2}]$

= (5050 - 1275) = 3775

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Subject: Numbers Exam Prep: AIEEE , Bank Exams , CAT
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300 61294

Q:

If ${(\frac{5}{7})}^{4 x} . {(\frac{7}{5})}^{3 x - 1} = {(\frac{7}{5})}^{6}$ , then find the value of x which satisfies the equation.

A) -1	B) -7
C) 1	D) 7

Answer & Explanation Answer: B) -7

Explanation:

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0 61293

Q:

What is the value of (sin45 - √3) ?

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

Answer & Explanation Answer: A) (1-√6)/√2

Explanation:

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0 61245

Q:

Find the odd man out?

3, 12, 39, 120, 364

A) 364	B) 120
C) 39	D) 3

Answer & Explanation Answer: A) 364

Explanation:

The given number series is 3, 12, 39, 120, 364

$3 3 + 3^{2} = 3 + 9 = 12 12 + 3^{3} = 12 + 27 = 39 39 + 3^{4} = 39 + 81 = 120 120 + 3^{5} = 120 + 243 = 363 (Not 364)$

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7 61162

Q:

The average of 11 numbers is 10.9. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is :

A) 10.5	B) 11.5
C) 12.5	D) 13.5

Answer & Explanation Answer: B) 11.5

Explanation:

Middle numbers = [(10.5 x 6 + 11.4 x 6) - 10.9 x 11] = (131.4 - 119-9) = 11.5.

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Filed Under: Average

103 61149

Quantitative Aptitude - Arithmetic Ability Questions

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