6500+ Quantitative Aptitude Questions and Answers With Explanation

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 68262

Q:

Fill in the blanks

sinA = _____ x cosA

A) sinA	B) tanA
C) cotA	D) cosA

Answer & Explanation Answer: B) tanA

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

1 68100

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 67836

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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Filed Under: Simplification
Exam Prep: Bank Exams

0 67790

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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Filed Under: Simplification
Exam Prep: Bank Exams

0 67645

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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Filed Under: Simplification
Exam Prep: Bank Exams

0 67620

Q:

The average weight of a class of 24 students is 35 kg. If the weight of the teacher be included, the average rises by 400 g. The weight of the teacher is :

A) 45 kg	B) 46 kg
C) 47 kg	D) 48 kg

Answer & Explanation Answer: A) 45 kg

Explanation:

Weight of the teacher = (35.4 x 25 - 35 x 24) kg = 45 kg.

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Filed Under: Average

233 67579

Q:

A salesman gets commission on total sales at 9%. If the sale is exceeded Rs.10,000 he gets an additional commission as bonus of 3% on the excess of sales over Rs.10,000. If he gets total commission of Rs.1380, then the bonus he received is:

A) Rs.180	B) Rs.120
C) Rs.480	D) data insufficient

Answer & Explanation Answer: B) Rs.120

Explanation:

Commission up to 10000 = $\frac{10000 x 9}{100}$ = 900

Again after 10000,

Commission : Bonus

9 : 3

3x : x

Therefore, Bonus = $(1380 - 900) \times \frac{1}{4} = R s . 120$

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Filed Under: Percentage
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

247 67578

Quantitative Aptitude - Arithmetic Ability Questions

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