6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Read the data given and answer the following questions

In a class of 60 students:

42 like Maths,

32 like English,

12 like neither Maths nor English

How many students like both Maths and English?

A) 28	B) 26
C) 16	D) 12

Answer & Explanation Answer: B) 26

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

1 24323

Q:

Rs. 5887 is divided between Shyam and Ram, such that Shyam's share at the end of 9 years is equal to Ram's share at the end of 11 years, compounded annually at the rate of 5%. Find the share of Shyam.

A) 3567	B) 3452
C) 3087	D) 3544

Answer & Explanation Answer: C) 3087

Explanation:

Shyam's share * (1+0.05)9 = Ram's share * (1 + 0.05)11

Shyam's share / Ram's share = (1 + 0.05)11 / (1+ 0.05)9 = (1+ 0.05)2 = 441/400

Therefore Shyam's share = (441/841) * 5887 = 3087

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

17 24292

Q:

The present worth of Rs.169 due in 2 years at 4% per annum compound interest is

A) Rs.156.25	B) Rs.150
C) Rs.140	D) Rs125.25

Answer & Explanation Answer: A) Rs.156.25

Explanation:

Present Worth

= $\frac{P}{{(1 + \frac{R}{100})}^{2}}$

= $\frac{169}{{(1 + \frac{4}{100})}^{2}}$

= Rs.156.25

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

30 24244

Q:

If the arithmetic mean of seventy-five numbers is calculated, it is 35. if each number is increased by 5, then mean of new numbers is :

A) 30	B) 40
C) 50	D) 60

Answer & Explanation Answer: B) 40

Explanation:

Let the numbers are $x_{1,} x_{2,} . . . . . . . x_{75}$

By Hypothesis , $\frac{x_{1} + x_{2} + . . . . x_{75}}{75} = 35$ ......(i)

Mean of new numbers = $\frac{(x_{1} + 5) + (x_{2} + 5) + . . . . . . . (x_{75} + 5)}{75}$

$\frac{x_{1} + x_{2} + . . . . . . x_{75} + 5 * 75}{75}$

$\frac{x_{1} + x_{2} + . . . . . . x_{75}}{75} + \frac{375}{75} = 35 + 5 = 40$ By (i)

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Filed Under: Average

43 24195

Q:

Find the odd statement : Two lines are perpendicular to each other if they are,

A) Adjacent sides of a rectangle	B) Diagonals of a rhombus
C) Hypotenuse and one side of a right-angle triangle	D) Adjacent sides of a square

Answer & Explanation Answer: C) Hypotenuse and one side of a right-angle triangle

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

0 24178

Q:

The sum of the number of boys and girls in a school is 150. if the number of boys is x, then the number of girls becomes x% of the total number of students. The number of boys is :

A) 60	B) 70
C) 80	D) 90

Answer & Explanation Answer: A) 60

Explanation:

We have : x + (x% of 150 )= 150

=> x+(x/100)*150] = 150

=> $\frac{5}{2} x = 150$

=> x = (150*2)/5 = 60

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Filed Under: Percentage

43 24174

Q:

Rahul went to purchase a Nokia mobile handset, the shopkeeper told him to pay 20% tax if he asked the bill. Rahul manages to get the discount of 5% on the actual saleprice of the mobile and he paid the shopkeeper Rs. 3325 without tax. Besides he manages to avoid to pay 20% tax on the already discounted price, what is the amount of discount that he has gotten?

A) 750	B) 375
C) 875	D) 525

Answer & Explanation Answer: C) 875

Explanation:

CP = 100, SP (with tax) =120

New SP = 100 - 5 = 95

Effective discount = 120 - 95 = 25

So, at SP of 95 ----> discount = 25

and at SP of 3325 -----> discount = $\frac{25}{95} \times 3325 = 875$

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

54 24169

Q:

A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:

A) 29/5	B) 37/4
C) 42	D) 54

Answer & Explanation Answer: C) 42

Explanation:

After 10 days : 150 men had food for 35 days.

Suppose 125 men had food for x days.

Now, Less men, More days (Indirect Proportion)

125 : 150 :: 35 : x => 125 x x = 150 x 35

=>

=> x = 42.

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Filed Under: Quantitative Aptitude - Arithmetic Ability

38 24167

Quantitative Aptitude - Arithmetic Ability Questions

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