Quantitative Aptitude - Arithmetic Ability Questions

Q:

The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ratio of the number of boys to the number of girls in the class is:-

A) 1:2  B) 2:3
C) 3:4 D) 3:5
 
Answer & Explanation Answer: B) 2:3

Explanation:

Let the ratio be x : y
Total boys = 16.4 X x
Total girls = 15.4 X y
Total number of students in class = 16.4x + 15.4y
The average age of all students is 15.8
The total age of boys is 15.8x
The total age of girls is 15.8y
16.4x + 15.4y = 15.8x + 15.8y
0.6 x = 0.4 y
x/y = 0.4/0.6 = 2/3

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

2 1007
Q:

If 5/2 - (6/5)(x - 15/2) = -x/5, then what is the value of x?

A) -23/2 B) 13/2
C) -13/2 D) 23/2
 
Answer & Explanation Answer: D) 23/2

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

What is the least number that should be added to the product 11 x 12 x 13 x 14 to make it a perfect square?

 

A) 1 B) 311
C) 5 D) 0
 
Answer & Explanation Answer: A) 1

Explanation:
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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

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Q:

√(cosec2 -­ 1)/cosecA is equal to?

A) cosA B) sinA
C) cosecA D) secA
 
Answer & Explanation Answer: A) cosA

Explanation:
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Q:

The mean of the 5 smallest numbers from a group is 15 while the mean of all the 13 members of the group taken together is 17. What is the mean of the 8 largest numbers?

A) 18.50 B) 17.75
C) 18.75 D) 18.25
 
Answer & Explanation Answer: D) 18.25

Explanation:
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Filed Under: Average
Exam Prep: Bank Exams

5 1007
Q:

The simple and compound interest that can be earned in two years at the same rate is Rs 1500 and Rs 1575 respectively. What is the rate (% per annum) of interest?

A) 8 B) 10
C) 12 D) 5
 
Answer & Explanation Answer: B) 10

Explanation:
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Filed Under: Simple Interest
Exam Prep: Bank Exams

2 1006
Q:

If X+Y=3,XY=2, find the value of X3-Y3

A) 7 B) 3
C) 5 D) 9
 
Answer & Explanation Answer: A) 7

Explanation:
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Q:

Which among the following is true for the given numbers?

A) 3/8 > 19/73 < 29/47 < 17/39 B) 19/73 < 3/8 < 17/39 < 29/47
C) 19/73 < 3/8 < 29/47 < 17/39 D) 19/73 < 29/47 < 3/8 < 17/39
 
Answer & Explanation Answer: B) 19/73 < 3/8 < 17/39 < 29/47

Explanation:
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Filed Under: Decimal Fractions
Exam Prep: Bank Exams

2 1006