6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Simplify

39.96% of 649.85 $\div$ 13.07 = 45.14 - ?

A) 25	B) 26
C) 27	D) 28

Answer & Explanation Answer: A) 25

Explanation:

This can be easily simplified by Approximation process

Given 39.96% of 649.85 $\div$ 13.07 = 45.14 - ? can be written as

40% of 650 $\div$ 13 = 45 - ?

$\frac{\frac{40 x 650}{100}}{13} = 45 - ? ? = 45 - 20 ? = 25 .$

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Filed Under: Simplification
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4 68808

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 68340

Q:

A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is :

A) 9.5 km/hr	B) 10 km/hr
C) 10.5 km/hr	D) 11 km/hr

Answer & Explanation Answer: B) 10 km/hr

Explanation:

Man's rate in still water = (15 - 2.5) km/hr = 12.5 km/hr.

Therefore, Man's rate against the current = (12.5 - 2.5) = 10 km/hr.

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Filed Under: Problems on Trains
Exam Prep: CAT
Job Role: Bank PO

109 68284

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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2 68198

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 68072

Q:

Which of the following statement(s) is/are true?

$I . {(65)}^{1 / 6} > {(17)}^{1 / 4} > {(12)}^{1 / 3} II . {(17)}^{1 / 4} > {(65)}^{1 / 6} > {(12)}^{1 / 3} III . {(12)}^{1 / 3} > {(17)}^{1 / 4} > {(65)}^{1 / 6}$

A) Only I	B) Only III
C) Only II	D) None of these

Answer & Explanation Answer: B) Only III

Explanation:

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Q:

Select the odd figure out of the given figure series.

A) Tortoise	B) Crab
C) Frog	D) Fish

Answer & Explanation Answer: D) Fish

Explanation:

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Filed Under: Odd Man Out
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Q:

In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?

A) 720	B) 520
C) 700	D) 750

Answer & Explanation Answer: A) 720

Explanation:

The word 'LEADING' has 7 different letters.

When the vowels EAI are always together, they can be supposed to form one letter.

Then, we have to arrange the letters LNDG (EAI).

Now, 5 (4 + 1) letters can be arranged in 5! = 120 ways.

The vowels (EAI) can be arranged among themselves in 3! = 6 ways.

Required number of ways = (120 x 6) = 720.

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Filed Under: Permutations and Combinations

84 67887

Quantitative Aptitude - Arithmetic Ability Questions

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