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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

 The average age of 8 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men. The average age of the two new men is :

A) 20 B) 30
C) 40 D) 50
 
Answer & Explanation Answer: B) 30

Explanation:

Total age increased = (8 * 2) years = 16 years.

Sum of ages of two new men = (21 + 23 + 16) years = 60 years

Average age of two new men = (60/2) years = 30 years.

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86 41311
Q:

The sum of the square of three consecutive odd numbers is 2195. Find the numbers.

 

A) 21, 23, 25   B) 23, 25, 27  
C) 25, 27, 29   D) 27, 29, 31
 
Answer & Explanation Answer: C) 25, 27, 29  

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

1 41195
Q:

A car owner buys petrol at Rs 7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year ?

A) 6.23 B) 7.98
C) 8.97 D) 9.89
 
Answer & Explanation Answer: B) 7.98

Explanation:

Total quantity of petrol consumed in 3 years =(4000/7.50+4000/8+4000/8.50)  liters

 

                                                         = 4000(2/15+1/8+2/17) liters                                                   

 

                                                         = 76700/51 liters

 

Total amount spent = Rs. (3 x 4000) = Rs. 12000.

 

Average cost = Rs. (12000*51/76700) = Rs. 7.98.

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57 41103
Q:

Select the missing number based on the given related pair of numbers.

 

158 : 384 :: 140 : ___

A) 347 B) 346
C) 348 D) 349
 
Answer & Explanation Answer: C) 348

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

9 41098
Q:

Rohit crosses a 700 metres wide road in 35 seconds. What is his speed (in km/hr)?

 

A) 54 B) 76
C) 72 D) 84
 
Answer & Explanation Answer: C) 72

Explanation:
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Filed Under: Time and Work
Exam Prep: Bank Exams

1 41093
Q:

3 men, 4 women and 6 children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days  ?

A) 6 B) 9
C) 5 D) 7
 
Answer & Explanation Answer: D) 7

Explanation:

Let 1 woman's 1 day work = x.

Then, 1 man's 1 day work = x/2 and 1 child's 1 day work  x/4.

So, (3x/2 + 4x + + 6x/4) = 1/7

28x/4 = 1/7 => x = 1/49

1 woman alone can complete the work in 49 days.

So, to complete the work in 7 days, number of women required = 49/7 = 7.

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

94 41065
Q:

The two lines 3x - 8y = 16 and 2x + 4y = 6 intersect at (a,b). Find the value of a2-4b2

 

 

A) 5   B)  10  
C) 15   D) 20
 
Answer & Explanation Answer: C) 15  

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams , AIEEE

0 41023
Q:

What is the difference between the compound interests on Rs. 5000 for 1 1/2  years at 4% per annum compounded yearly and half-yearly?

A) 2.04 B) 3.04
C) 4.04 D) 5.04
 
Answer & Explanation Answer: A) 2.04

Explanation:

C.I. when interest
compounded yearly=rs.[5000*(1+4/100)(1+1/2*4/100)]

= Rs. 5304.

C.I. when interest is
compounded half-yearly=rs.5000(1+2/100)^3

= Rs. 5306.04
Difference = Rs. (5306.04 - 5304) = Rs. 2.04

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

34 40971