6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Arrange the given words in the sequence in which they occur in the dictionary.
1. Waste
2. Wrong
3. Witty
4. Worcester
5. Warlike

A) 51324	B) 13452
C) 51342	D) 15342

Answer & Explanation Answer: C) 51342

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

0 2201

Q:

The brother is elder to his sister by 6 years. Seven years ago the product of their ages was 72. What is the age of the brother?

A) 13 years	B) 12 years
C) 6 years	D) 19 years

Answer & Explanation Answer: D) 19 years

Explanation:

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

3 2201

Q:

A does 30% of a work in 30 days. He then calls in B and they together finish the remaining work in 20 days. How long B alone would take to do the whole work?

A) 40 days	B) 80 days
C) 120 days	D) 20 days

Answer & Explanation Answer: A) 40 days

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Filed Under: Time and Work
Exam Prep: Bank Exams

3 2201

Q:

If p and q are the roots of the equation x2 –15x + r = 0 and p –q = 1, then what is the value of r ?

A) 55	B) 56
C) 60	D) 64

Answer & Explanation Answer: B) 56

Explanation:

In the below equation,

x2–15x + r = 0

sum of roots = p + q = -(-15)/1 = 15 (sum of roots for equation ax2+ bx + c is -b/a)

product of roots = pq = r/1 = r (product of roots for equation ax2+ bx + c is c/a)

given p –q = 1

also we know that p+q = 15

subtracting the squares of both

(p+q)2 + (p-q)2 = 15^2–1

p2 + q2 + 2pq –p2 –q2 +2pq = 225 -1

4pq = 224

4r = 224

r = 56

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Filed Under: Simplification
Exam Prep: Bank Exams

0 2200

Q:

In the question given below, two equations are provided. Solve the equations and establish the relationship between x and y

$I . 2 x^{2} - 13 x - 189 = 0 II . 2 y^{2} - 3 y - 189 = 0$

A) x>y	B) x≥y
C) x<y	D) x≤y

Answer & Explanation Answer:

Explanation:

I. 2x2 - 13x - 189 = 0 2x2 - 27x + 14x - 189 = 0 x(2x - 27) + 7(2x - 27) = 0 x = -7, 27/2

II. 2y2 - 3y - 189 = 0 2y2 - 21y + 18y - 189 = 0 y(2y - 21) + 9(2y - 21) = 0 y = -9, 21/2

When x, as well as y, have both positive and negative values then no relationship can be established between them because if we consider x to be positive then the negative value of y will be lesser than x. If we consider x to be negative then positive value of y will be greater than x.

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Q:

The zeros of the cubic polynomial $2 x^{3} - x^{2} - 2 x + 1$ are a, b and c respectively. Find a+b+c :

A) -1	B) 2
C) 1	D) none

Answer & Explanation Answer: D) none

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT

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Q:

A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot at a speed of 4 km/hour and partly on bicycle at a speed of 9 km/hour . The distance travelled on foot is

A) 14 km	B) 16 km
C) 20 km	D) 18 km

Answer & Explanation Answer: B) 16 km

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

A can do a certain job in 12 days. B is 60% more efficient than A. Then B can do the same piece of work in

A) 8 days	B) 7.5 days
C) 6.4 days	D) 5.5 days

Quantitative Aptitude - Arithmetic Ability Questions

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