Quantitative Aptitude - Arithmetic Ability Questions

Q:

In a class of 50 students there are 22 girls who scored an average of 35 marks in the test. What is the average marks of the boys if the class average is 42 marks?

A) 50 B) 52.5
C) 47.5 D) 55
 
Answer & Explanation Answer: C) 47.5

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Exam Prep: Bank Exams

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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:

A boat goes a certain distance at 40 km/hr and comes back the same distance at 24 km/hr. What is the average speed (in km/hr) for the total journey?

A) 32 B) 28
C) 34 D) 30
 
Answer & Explanation Answer: D) 30

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Filed Under: Boats and Streams
Exam Prep: Bank Exams

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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:

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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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

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Q:

A student multiplied a number by 4/7 instead of 7/4. What is the percentage error in the calculation?

A) 206.25 percent B) 67.35 percent
C) 33.67 percent D) 103.13 percent
 
Answer & Explanation Answer: B) 67.35 percent

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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

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