6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

What is the percentage decrease in the area of a triangle if its each side is halved?

A) 75%	B) 50%
C) 25%	D) No change

Answer & Explanation Answer: A) 75%

Explanation:

Area of triangle of = ½*a*b* sinθ = A

Where a and b are sides of the triangle and θ be the angle between them

After decreasing each side

New area = ½*(a/2)*(b/2)*sinθ = ¼ A

%decrease = [(A–¼ A)/A ]*100 = 75%

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

1 2142

Q:

A student's average marks in five subjects is 82. If the average marks of first two subject is 86.5 and the average marks of last two subjects is 84. Find the marks of third subject?

A) 69	B) 67
C) 71	D) 73

Answer & Explanation Answer: A) 69

Explanation:

The total marks of all 5 subjects = 82 x 5 = 410

Total marks of 1st two subjects = 86.5 x 2 = 173

Total marks of last two subjects = 84 x 2 = 168

Now, marks in 3rd subject = 410 - (173 + 168) = 410 - 341 = 69.

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

24 2141

Q:

The areas of three consecutive faces of a cuboid are 12 cm², 20cm² and 15 cm², then the volume (in cm³) of the cuboid is

A) 60	B) 55
C) 45	D) 40

Answer & Explanation Answer: A) 60

Explanation:

From the given data,

let the length, breadth and height of the cuboid are m, n, r

m x n = 12

n x r = 20

r x m = 15

Hence, m x n x n x r x r x m = 12 x 20 x 15

mnr = sqrt of (12x20x15) = 60 cub.cm.

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Filed Under: Volume and Surface Area
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

11 2140

Q:

In the given figure, PQRS is a square of side 8 cm. PQO = 60 deg. What is the area (in sq.cm) of the triangle POQ?

A) 32√3	B) 24[(√3) – 1]
C) 48[(√3) – 1]	D) 16[3 – (√3)]

Answer & Explanation Answer: D) 16[3 – (√3)]

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

0 2139

Q:

A man makes four trips of equal distances. His speed on first trip was 60 km/hr and in each subsequent trip his speed was half of the previous trip. What is the average speed (in km/hr) of the man in these four trips?

A) 16	B) 30
C) 28.125	D) 27.5

Answer & Explanation Answer: A) 16

Explanation:

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Filed Under: Time and Distance
Exam Prep: Bank Exams

2 2137

Q:

The sum of the present ages of a father and his son is 70 years. Five years ago, father's age was 5 times the age of the son, so now the son's age will be?

A) 12	B) 14
C) 15	D) 19

Answer & Explanation Answer: C) 15

Explanation:

Father Son

5years ago the age of the father & son 5X X

present the age of the father & son 5X+5 X+5

(present age of father) + (present age of son) = 70

(5x+5) + (x+5) = 70

Then you will get X = 10

Present age of the son (x+5) = 15

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

7 2135

Q:

Arun took a loan of Rs. 29000 with simple interest for as many years as the rate of interest. If he paid Rs. 10440 as interest at the end of the loan period, what was the rate of interest?

A) 5.5%	B) 6%
C) 6.5%	D) 7%

Answer & Explanation Answer: B) 6%

Explanation:

Principle amount = Rs. 29000

Interest = Rs. 10440

Let rate of interest = r%

=> So, time = r years

According to the question,

10440 = 29000 x r x r/100

290 x r x r = 10440

r x r = 1044/29 = 36

r = 6

Hence, the rate of interest = 6% and time = 6 yrs.

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

14 2134

Q:

Working together A, B and C can complete a task in 12 days. A and B can do the task in 55 days and 66 days respectively if they worked alone. In how many days can C do the task if he worked alone?

A) 22	B) 44
C) 20	D) 40

Quantitative Aptitude - Arithmetic Ability Questions

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