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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

The average age of husband, wife and their child 3 years ago was 24 years and that of wife and child 5 years ago was 25 years. The present age of the husband is:

A) 21 yrs B) 27 yrs
C) 29 yrs D) 31 yrs
 
Answer & Explanation Answer: A) 21 yrs

Explanation:

Sum of ages of husband, wife and child= (24 × 3) + 9 = 81 years

Sum of ages of wife and child => 25 × 2 + 10 = 50 + 10 = 60 years

Age of husband = 81 - 60 = 21 years.

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Filed Under: Problems on Ages
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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5 4110
Q:

What is the square root of (√5 + 2)/(√5 – 2)?

 

A) √5 – √4   B) √5 + 2  
C) 5 + √2   D) 7
 
Answer & Explanation Answer: B) √5 + 2  

Explanation:
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Filed Under: Square Roots and Cube Roots
Exam Prep: Bank Exams

1 4107
Q:

If (4a +7b) (4c-7d) = (4a -7b) (4c +7d, then which one of the following is correct ?

A) a/b = c/d B) a/d = c/b
C) a/b = d/c D) none
 
Answer & Explanation Answer: A) a/b = c/d

Explanation:

(4a+7b)(4c-7d) = (4a-7b)(4c+7d)

(4a+7b)/(4a-7b) = (4c+7d)/(4c-7d)

Using componendo and dividendo

(4a+7b)+(4a-7b) / (4a+7b)-(4a-7b)

= (4c+7d)+(4c-7d) / (4c+7d)-(4c-7d)

Or 8a/14b = 8c/14d

Or a/b = c/d

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Filed Under: Simplification
Exam Prep: Bank Exams

3 4106
Q:

Sanjay's test marks in two subjects, English and Hindi are in the ratio 7 : 11. If he got 20 marks more in Hindi than in English, what are his marks in English?

A) 35 B) 55
C) 45 D) 65
 
Answer & Explanation Answer: A) 35

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

5 4106
Q:

A number is 2 more than thrice the second number and 4 times the smaller number is 5 more than the greater number. What is greater number  ?

A) 7 B) 23
C) 9 D) 21
 
Answer & Explanation Answer: B) 23

Explanation:

Let the greater and smaller number be p and q respectively.

4q = p + 5 ------ (I)

p = 3q+2 ------- (II)

From equation (I) and (II)

q = 7

p = 23

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Filed Under: Problems on Numbers
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11 4101
Q:

If K earns 12% less than L, then how much percent more does L earn than K ?

A) 13.96% B) 13.63%
C) 13.56% D) 14.01%
 
Answer & Explanation Answer: B) 13.63%

Explanation:

Required % is given by 

 

=> 12100-12x100

 

= 1200/88

 

= 13.636%

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Filed Under: Percentage
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9 4097
Q:

The ages of Sunil and Anil are in the ratio 8:7, after 6 years, the ratio of their ages will be 19 : 17. What is the difference in their present ages?

A) 10 years B) 6 years
C) 8 years D) 4 years
 
Answer & Explanation Answer: D) 4 years

Explanation:

suppose the ages of Sunil and Anil are 8x yr and 7x yr, respectively.
After 6 yr, = 136x + 102 = 133x + 114
136x – 133x = 114 – 102
3x = 12 X = 12/3 = 4
Age of Sunil = 8x = 8 × 4 = 32 yr
Present age Anil = 7x = 7 × 4 = 28 yr
Required difference = (32 – 28) = 4 yr

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

3 4092
Q:

In a test, 14% of the students failed in Maths and 22% failed in Hindi. If 18% of the students failed in both the subjects, then the percentage of students who passed in both the subjects is

A) 46 B) 44
C) 42 D) 40
 
Answer & Explanation Answer: A) 46

Explanation:

Let the number of students = 100

Number of students who failed in one or more subjects = 14 + 22 + 18 = 54%

The percentage of students who passed in both the subjects = 100 - 54 = 46%.

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Filed Under: Percentage
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7 4091