6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The ratio of two positive numbers is 3 : 5 and the average of the number is 48. What is the product of numbers?

A) 3365	B) 2160
C) 1854	D) 1632

Answer & Explanation Answer: B) 2160

Explanation:

Let the number be 3p and 5p

ATQ,

8p = 2 x 48

p = 96/8

p = 12

The numbers are 36 and 60.

Hence, the product of the numbers = 36 x 60 = 2160.

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Filed Under: Problems on Numbers
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3 4161

Q:

A natural number, when divided by 9, 10, 12 or 15, leaves a remainder of 3 in each case. What is the smallest of all such numbers?

A) 183	B) 153
C) 63	D) 123

Answer & Explanation Answer: A) 183

Explanation:

LCM of 9,10,12,15 is 180
Smallest natural number to get remainder of 3 is (180 + 3) = 183

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Filed Under: HCF and LCM
Exam Prep: AIEEE , Bank Exams , CAT

12 4153

Q:

The average age of 8 men is increased by 4 years when one of them whose age is 30 years is replaced by a new man. What is the age of new man?

A) 55 Years	B) 62 Years
C) 42 Years	D) 69 Years

Answer & Explanation Answer: B) 62 Years

Explanation:

Let the average of 8 men be x. Age of new man be N.
Total age of 8 men = 8x
⇒ x + 4 = ((8x – 30) + N)/8
⇒ 8x + 32 = 8x – 30 + N
⇒ N = 32 + 30
⇒ N = 62

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

5 4146

Q:

Find the present worth of a bill of Rs.28000 due 2 years at 12% compound interest. Also find the true discount.

A) 300	B) 350
C) 250	D) 275

Answer & Explanation Answer: A) 300

Explanation:

PW = $\frac{A m o u n t}{{(1 + \frac{R}{100})}^{T}} = \frac{2800}{{(1 + \frac{12}{100})}^{2}}$ = Rs.2500

TD = Amount - PW = 2800 - 2500 = Rs.300

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Filed Under: True Discount

0 4137

Q:

The population of a city is 415600.It increased by 25% in the first year and decreased by 30% in the second year.What is the population of the city at the end of second year?

Answer

As per given data, P = 415600, R1= 25% incresed, R2 = 30% decreased

Population of the city at the end of the second year= $p\left ( 1+\frac{R1}{100} \right )\left ( 1-\frac{R2}{100} \right )$

$\Rightarrow$ $415600\left ( 1+\frac{25}{100} \right )\left ( 1-\frac{30}{100} \right )$

$\Rightarrow$ 363650.

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Subject: Percentage Exam Prep: CAT
Job Role: Bank Clerk

12 4133

Q:

If 1st January 2013 was Tuesday, then what day of the week will be 31st December 2013?

A) Wednesday	B) Thursday
C) Tuesday	D) Monday

Answer & Explanation Answer: C) Tuesday

Explanation:

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Filed Under: Calendar
Exam Prep: Bank Exams

10 4126

Q:

The average age of Vishal and Raghavendra is 24 years. If a new person Veerender is also included, the average age is increased by 1.5 years. What is the age of Veerender?

A) 28.5 yrs	B) 29.5 yrs
C) 30.5 yrs	D) 27 yrs

Answer & Explanation Answer: A) 28.5 yrs

Explanation:

According to the given data,

(V + R)/2 = 24

Now, after joining of Veerender,

V + R + D)/3 = 25.5

Hence, Veerender Age = 3(25.5) - 2(24) = 76.5 - 48 = 28.5 years.

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Filed Under: Problems on Ages
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3 4113

Q:

In a plane 8 points are colliner out of 12 points, then the number of triangles we get with those 12 points is

A) 20	B) 160
C) 164	D) 220

Answer & Explanation Answer: C) 164

Explanation:

For a triangle, we need 3 non-collinear points. So with 12 points (when all the 12 are such that any three non-collinear is $12 C_{3}$ . But among them 8 points are collinear.

If all these 8 points are different we get $8 C_{3}$ triangles as they are collinear.

In $12 C_{3}$ triangles, we do not get $8 C_{3}$ triangles

Therefore, The number of triangles we get = $12 C_{3} - 8 C_{3}$ = 164

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT
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3 4110

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