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 Quantitative Aptitude - Arithmetic Ability Questions

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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

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

After deducting 60% from a certain number and then deducting 15% from the remainder, 1428 is left. What was the initial number?

A) 4200 B) 3962
C) 4150 D) 4300
 
Answer & Explanation Answer: A) 4200

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

2 2258
Q:

If a wholesaler, sells a tin of coffee at Rs 528 he faces a loss of 12%. Now if he decides to sell it at Rs 636, what will be the profit (in %)?

A) 7 B) 5
C) 6 D) 4
 
Answer & Explanation Answer: C) 6

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

A fraction is greater than twice its reciprocal by 7/15. What is the fraction?

A) 3/5 B) 5/3
C) 3/4 D) 4/3
 
Answer & Explanation Answer: B) 5/3

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Filed Under: Decimal Fractions
Exam Prep: Bank Exams

6 2257
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

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Q:

The mean of marks secured by 55 students in division A of class X is 58, 45 students of division B is 54 and that of 75 students of division C is 52. Find the mean of marks of the students of three divisions of Class X.

A) 53.7 B) 54.4
C) 53 D) 55.8
 
Answer & Explanation Answer: B) 54.4

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Filed Under: Average
Exam Prep: Bank Exams

0 2256
Q:

What is the rate of interest (in %) if simple interest earned on a certain sum for the 3 years is Rs 6,000 and compound interest earned for 2 years is Rs 4,160?

A) 9 B) 8
C) 12 D) 6
 
Answer & Explanation Answer: B) 8

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Filed Under: Simple Interest
Exam Prep: Bank Exams

5 2255
Q:

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

I. 2x2-13x-189=0 II. 2y2-3y-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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Filed Under: Simplification

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