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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
Job Role: Bank Clerk , Bank PO

5 4360
Q:

What is the probability that a couple with four children have atleast one girl?

A) 0.0625 B) 0.9375
C) 0.5 D) 0.0257
 
Answer & Explanation Answer: B) 0.9375

Explanation:

Here,n = 4(children)

P(girl)= 0.5

P(of atleast one girl)= 1 - P(no girls)

                             = 1 - 0.0625 = 0.9375

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Filed Under: Probability

3 4354
Q:

What is the Formula for Volume?

Answer

 The formula to find the volume is given by just multiplying Length, Breadth and Height of that object. 


 Thus, V = L x B X H  



Volume Formulae :   


1. Volume of Cube of side 's' = s x s x s = s3  cubic units.   


2. Volume of Cylinder = πR2h cubic units.  


[Where R is Radius and h is height]

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Subject: Volume and Surface Area Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

13 4351
Q:

1.52 x 0.0225 = ?

A) 0.0375 B) 0.3375
C) 3.275 D) 32.75
 
Answer & Explanation Answer: B) 0.3375

Explanation:
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Filed Under: Square Roots and Cube Roots

14 4351
Q:

A man sell 35 waffers for Rs. 15 each and loses Rs. 40.4. If he sells 35 waffers for Rs. 18, how much does he loss or gain ?

A) Rs. 64 B) Rs. 52
C) Rs. 72 D) Rs. 55
 
Answer & Explanation Answer: A) Rs. 64

Explanation:

Given Loss = Rs. 40.4
We know loss = cost price - selling price
40.4 = CP - 35(15)
=> CP = 40.4 + 525
=> CP = Rs. 565.4
Now the New selling price of waffer is Rs. 18
=> SP = 35(18) = 630
Now Gain = SP - CP = 630 -565.4 = Rs. 64.6.

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Bank Clerk , Bank PO

5 4350
Q:

Maheshwari wants to buy 7 floors in an 68 storied building whose numbering stars from 1 upto 68. But she has to follow certain rules which are as follows :

1) None of the floor should be a prime number

2) None of the digit of the floor should be a prime number

3) Maheshwari cannot buy the 1st floor as it is being assigned to the architect.

So how many options are left with Maheshwari to buy the floors ?

A) 11 B) 17
C) 13 D) 19
 
Answer & Explanation Answer: B) 17

Explanation:

Since floor starts form the 1 therefore 2 will be the 1st floor.
Form 1 to 10 only 4,6,8,9,10 are not prime.
Form 11 to 20 only 14 ,16,18 are not prime also non of their digits are prime.
From 21 to 30 each number has a prime number so it must no be consider.
In between 40 to 49 we have to consider only 40,44,46,48,49.
50 to 59 follow either of the condition so we have too neglect it.
In between 60 to 68 60,64,66,68.
total option = 17.

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Filed Under: Numbers
Exam Prep: AIEEE , CAT , Bank Exams
Job Role: Bank Clerk , Bank PO

4 4346
Q:

Relation Between Efficiencies

6 boys and 8 girls finish a job in 6 days and 14 boys and 10 girls finish the same job in 4 days. In how many days working together 1 boy and 1 girl can finish the work?

Answer

Sol : In this kind of questions we find the work force required to complete the work in 1 day (or given unit of time) then we equate the work force to find the relationship between the efficiencies (or work rate) between the different workers.


 


Therefore, 6B+8G = 6 days


 => 6(6B+8G)= 1 day  (inversely proportional)


 => 36B+48G =1         ( by unitary method)


 


Again  14B+10G = 4days


 => 56B+40G =1


 


so, here it is clear that either we employ 36B and 48G to finish the work in 1 day or 56B and 40G to finish the same job in 1 day. thus , we can say


 => 36B+48G = 56B+40G


 => G= 2.5B


Thus a Girl is 2.5 times as efficient as a boy.


 


Now, since  36B+48G = 1


 => 36B+48(2.5 B)=1


 =>156B=1


i.e., to finish the job in 1 day 156 boys are required or the amount of work is 156 boys-days


 


Again    1G+1B=2.5B+1B=3.5B


 


Now, since 156 boys can finish the job in 1 day


so 1 boy can finish the job in 156 days


Therefore, 3.5 boys can finish the job in 1×1563.5= 47 days.


 


 

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Subject: Time and Work

2 4343
Q:

In a 200 metres race A beats B by 35 m or 7 seconds. A's time over the course is:

A) 40 sec B) 47 sec
C) 33 sec D) None of these
 
Answer & Explanation Answer: C) 33 sec

Explanation:

B runs 35 m in 7 sec.

 

 B covers 200 m in (7/35*200) = 40sec

 

B's time over the course = 40 sec.

 

 A's time over the course (40 - 7) sec = 33 sec.

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Filed Under: Races and Games

2 4339