6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In a hostel the rent per room is increased by 20%. If number of rooms in the hostel is also increased by 20% and the hostel is always full, then what is the percentage change in the total collection at the cash counter?

A) 30%	B) 40%
C) 44%	D) 48%

Answer & Explanation Answer: C) 44%

Explanation:

Let initial rent be rs 10

And initial rooms be 10

So initial collection = 10*10 = Rs 100

Now new rent = 10 + 20% of 10 = 12

New no of rooms = 10 + 20% of 10 = 12

So new collection = 12*12 = 144

% change in collection = (144-100)/100*100 = 44%

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Filed Under: Percentage
Exam Prep: Bank Exams

4 3362

Q:

A man’s average monthly expenditure for the first four months of the year was Rs. 231.25. For the next five months, the average monthly expenditure was Rs. 22.75 more than what it was during the first four months. If the person spent Rs. 605 in all during the remaining three months of the year, find what percentage of his annual income of Rs. 3500 did he save in the year?

A) 10%	B) 15%
C) 20%	D) 25%

Answer & Explanation Answer: C) 20%

Explanation:

A man's average monthly expenditure for the first four months of the year = Rs.231.25.
For four month = 231.25 * 4 = Rs. 925
For next five month he spend = 231.25 + 22.75 for one month.
In five month he spend = (231.25 + 22.75) X 5 = 1270
If the person spent Rs. 605 in all during the remaining three months of the year,
Total expense = 925+1270+605= 2800
Saving = 3500-2800 = 700
% saving = 700/3500 * 100 = 20%

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Filed Under: Percentage
Exam Prep: Bank Exams

1 3353

Q:

A motorboat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the motorboat and speed of the water current respectively?

A) 3:7	B) 7:9
C) 5:4	D) 8:3

Answer & Explanation Answer: D) 8:3

Explanation:

Let the man's rate upstream be x kmph and that downstream be y kmph.

Then, distance covered upstream in 8 hrs 48 min = Distance covered downstream in 4 hrs.

		x x 8	4		= (y x 4)
			5

	44	x =4y
	5

y =	11	x.
	5

Required ratio =		y + x		:		y - x
		2				2

=		16x	x	1		:		6x	x	1
		5		2				5		2

=	8	:	3
	5		5

= 8 : 3.

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Filed Under: Boats and Streams
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

16 3347

Q:

The difference between present ages of Ravali and Swarna is 9 years. After 7 years, Ravali’s age is twice of Swarna’s age. What will be Ravali’s age after 4 years?

A) 15 yrs	B) 16 yrs
C) 20 yrs	D) 21 yrs

Answer & Explanation Answer: A) 15 yrs

Explanation:

Let the present age of Ravali = x

=> Swarna's present age = x - 9

From the given data,

x + 7 = 2(x - 9 + 7)

=> x = 11 yrs

Required Ravali's age after 4 years = 11 + 4 = 15 yrs.

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Filed Under: Problems on Ages
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

7 3345

Q:

A number is 2 more than thrice the second number and 4 times the smaller number is 5 more than the greater number. What is greater number ?

A) 7	B) 23
C) 9	D) 21

Answer & Explanation Answer: B) 23

Explanation:

Let the greater and smaller number be p and q respectively.

4q = p + 5 ------ (I)

p = 3q+2 ------- (II)

From equation (I) and (II)

q = 7

p = 23

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Filed Under: Problems on Numbers
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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11 3345

Q:

What are the 2 natural numbers, sum of whose squares is 52?

A) 2, 7	B) 3, 5
C) 4, 6	D) 5, 6

Answer & Explanation Answer: C) 4, 6

Explanation:

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Filed Under: Square Roots and Cube Roots
Exam Prep: Bank Exams

3 3344

Q:

Simplify $4 \frac{1}{3} + 2 \frac{1}{5} + 4 \frac{1}{4} = ?$

A) 10 47/60	B) 11 45/73
C) 11 47/36	D) 10 35/48

Answer & Explanation Answer: A) 10 47/60

Explanation:

The given equation is in Mixed fraction.

Now to solve this type of fractions,

$4 \frac{1}{3} + 2 \frac{1}{5} + 4 \frac{1}{4} = ? ? = (4 + 2 + 4) + (\frac{1}{3} + \frac{1}{5} + \frac{1}{4}) ? = 10 + \frac{47}{60} ? = 10 \frac{47}{60}$

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

9 3343

Q:

Determine the nominal rate of interest if:
The periodic rate is 1.75% per quarter.

A) 7%	B) 8%
C) 9%	D) 10%

Quantitative Aptitude - Arithmetic Ability Questions

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