6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If $\frac{a}{b + c} = \frac{b}{c + a} = \frac{C}{b + a}$ then which one of the following statements is correct?

A) Each fraction is equal to 1 or -1	B) Each fraction is equal to 1/2 or 1
C) Each fraction is equal to 1/2 or -1	D) Each fraction is equal to 1.2 only

Answer & Explanation Answer: C) Each fraction is equal to 1/2 or -1

Explanation:

a/(b+c) = b/(c+a) = c/(a+b)

Taking reciprocal and adding 1 to each ratio we get;

(b+c)/a + 1 = b/(c+a) + 1 = c/(a+b) + 1

Or (a+b+c)/a = (a+b+c)/b = (a+b+c)/c

So this can only be equal when a=b=c or a+b+c = 0

When a=b=c we get

a/(b+c)= ½When a+b+c = 0 we get

b+c = -a

So a/(b+c) = -1

So the ratios are ½ or -1

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

The perimeter of a right-angled triangle is k times the shortest side. If the ratio of the other side to hypotenuse is 4 : 6, then what is the value of k?

A) 2	B) 3
C) 4	D) 5

Answer & Explanation Answer: C) 4

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

After deducting 60% from a certain number and then deducting 15% from the remainder, 1428 is left. What was the initial number?

A) 4200	B) 3962
C) 4150	D) 4300

Answer & Explanation Answer: A) 4200

Explanation:

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT

2 2369

Q:

The age of Ravi is twice the age of Prakash and three times the age of Kumar. If the age of Prakash is 24 years, then what will be the age of Kumar after 4 years ?

A) 16 years	B) 20 years
C) 24 years	D) 22 years

Answer & Explanation Answer: B) 20 years

Explanation:

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

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Q:

What is the average of first 19 odd numbers?

A) 9.5	B) 15.5
C) 19	D) 38

Answer & Explanation Answer: C) 19

Explanation:

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Filed Under: Average
Exam Prep: Bank Exams

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Q:

A man travels 420 kilometres in, partly by rail and partly by steamer. He spends 8 hours more time on steamer. If the velocity of the steamer is 35 km/hr and the velocity of rail is 65 km/hr, how much distance does he cover by steamer?

A) 395 km	B) 329 km
C) 494 km	D) 592 km

Answer & Explanation Answer: B) 329 km

Explanation:

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

While selling an article for Rs 18450, a person suffered a loss of 50%. At what price he should have sold the article (in Rs) to earn a profit of 50%?

A) 13837	B) 52000
C) 55350	D) 56775

Answer & Explanation Answer: C) 55350

Explanation:

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

In the following question, select the odd number from the given alternatives.

A) 216	B) 125
C) 343	D) 510

Quantitative Aptitude - Arithmetic Ability Questions

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