6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Find the value of $\sqrt{\frac{1.21 x 0.9}{1.1 x 0.11}}$ ?

A) 0	B) 1
C) 3	D) 5

Answer & Explanation Answer: C) 3

Explanation:

Given $\sqrt{\frac{1.21 x 0.9}{1.1 x 0.11}}$

= $\sqrt{\frac{1.21 x 100 x 0.9 x 10}{1.1 x 10 x 0.11 x 100}}$

= $\sqrt{9}$

= 3.

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Filed Under: Square Roots and Cube Roots
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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8 4265

Q:

There is sufficient salary to give K for 10 days and L for 15 days. Then how many days will the money last if both has to be given the salary ?

A) 6 days	B) 12 days
C) 4 days	D) 9 days

Answer & Explanation Answer: A) 6 days

Explanation:

K's 1 day's salary = 1/10
L's 1 day's salary = 1/15
Together their 1 day's salary = 1/10 + 1/15
= 3/30 + 2/30
= 5/30
= 1/6
So the money will be enough for paying them both for 6 days.

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Filed Under: Time and Work
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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3 4261

Q:

What is the probability that a number is divisible by 4?

A) 2	B) 1/2
C) 1/4	D) 1

Answer & Explanation Answer: B) 1/2

Explanation:

Probability is Number of favourable outcomes by total outcomes

Total comes = 2 (Divisible or not)

Favourable = 1 (Divisible)

Hence, probability = 1/2.

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

35 4257

Q:

In a rectangle, length is three times its breadth. If the length and the breadth of the rectangle are increased by 30% and 100% respectively, then its perimeter increases by

A) 40/3%	B) 20%
C) 25%	D) 27%

Answer & Explanation Answer: C) 25%

Explanation:

Let the breadth of the rectangle = x

Length of the the rectangle will be = 3 times of breadth = 3x

So the initial perimeter = 2(length + breadth) = 2(x + 3x) = 8x

New breadth after increase = x + 10x/100 = 1.1x

New length after increase = 3x + 30*3x/100 = 3.9x

New perimeter = 2(1.1x + 3.9x) = 10x

Percentage change in perimeter = ( 10x-8x)*100/8x = 25%

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Filed Under: Area
Exam Prep: Bank Exams

10 4257

Q:

Odd man out of the series - 15, 19, 27, 38, 55, 75?

A) 27	B) 38
C) 55	D) 75

Answer & Explanation Answer: B) 38

Explanation:

The given series is 15, 19, 27, 38, 55, 75

15

15 + 4 = 19

19 + 8 = 27

27 + 12 = 39

39 + 16 = 55

55 + 20 = 75

Hence, the odd number in the given series is 38.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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5 4255

Q:

Relation Between Efficiencies

6 boys and 8 girls finish a job in 6 days and 14 boys and 10 girls finish the same job in 4 days. In how many days working together 1 boy and 1 girl can finish the work?

Answer

Sol : In this kind of questions we find the work force required to complete the work in 1 day (or given unit of time) then we equate the work force to find the relationship between the efficiencies (or work rate) between the different workers.

Therefore, 6B+8G = 6 days

=> 6(6B+8G)= 1 day (inversely proportional)

=> 36B+48G =1 ( by unitary method)

Again 14B+10G = 4days

=> 56B+40G =1

so, here it is clear that either we employ 36B and 48G to finish the work in 1 day or 56B and 40G to finish the same job in 1 day. thus , we can say

=> 36B+48G = 56B+40G

=> G= 2.5B

Thus a Girl is 2.5 times as efficient as a boy.

Now, since 36B+48G = 1

=> 36B+48(2.5 B)=1

=>156B=1

i.e., to finish the job in 1 day 156 boys are required or the amount of work is 156 boys-days

Again 1G+1B=2.5B+1B=3.5B

Now, since 156 boys can finish the job in 1 day

so 1 boy can finish the job in 156 days

Therefore, 3.5 boys can finish the job in $\frac{1 \times 156}{3.5} = \frac{4}{7}$ days.

Workspace

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Subject: Time and Work

2 4254

Q:

A farmer buys a goat and a sheep for Rs 3500. He sold the sheep at a profit of 20 percent and the goat at a loss of 10 percent. If he sold both the animals at the same price, then the cost price (in Rs) of the cheaper animal was?

A) 2000	B) 1500
C) 1750	D) 2250

Answer & Explanation Answer: B) 1500

Explanation:

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

10 4252

Q:

Dot cabs company provides cabs for software employees. The company has 8 Swift dzires, 6 Scorpios, 7 Innovas and few small cars. If Swift dzire makes one fourth of the total fleet, how many small cars are there in the company ?

A) 9	B) 10
C) 11	D) 12

Answer & Explanation Answer: C) 11

Explanation:

Given the company has 8 SD + 6 SRP + 7 IN = 21 cars + 'x' small cars.
Given SD makes 1/4 th of the total fleet.
=> 8 = 1/4 (21 + x)
=> 32 = 21 + x
=> x = 11
Therefore, the company has 11 small cars.

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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3 4252

Quantitative Aptitude - Arithmetic Ability Questions

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