Quantitative Aptitude - Arithmetic Ability Questions

Q:

A family consists of grandparents, parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family ?

A) 31( 5/7) B) 32 (6/7)
C) 34(4/7) D) 35(4/9)
 
Answer & Explanation Answer: A) 31( 5/7)

Explanation:

Required average = (67 * 2 + 35 * 2 + 6 * 3) / (2 + 2 + 3)

                           = (134 + 70 + 18) / 7  =  222 / 7 = 31(5/7) years.

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Filed Under: Average

13 31674
Q:

If the area of a semi-circle is 693 cm2, then find its radius (in cm).

 

A) 42 B) 27
C)  21 D)  54
 
Answer & Explanation Answer: C)  21

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

0 31642
Q:

A Contractor employed a certain number of workers  to finish constructing a road in a certain scheduled time. Sometime later, when a part of work had been completed, he realised that the work would get delayed by three-fourth of the  scheduled time, so he at once doubled the no of workers and thus he managed to finish the road on the scheduled time. How much work he had been completed, before increasing the number of workers?

A) 10 % B) 14 ( 2/7 )%
C) 20 % D) Can't be determined
 
Answer & Explanation Answer: B) 14 ( 2/7 )%

Explanation:

Let he initially employed x workers which works for D days and he estimated 100 days for the whole work and then he doubled the worker for (100-D) days.

D * x +(100- D) * 2x= 175x 

=>  D= 25 days 

Now , the work done in 25 days = 25x 

Total work = 175x

Therefore, workdone before increasing the no of workers = 25x175x×100 % = 1427%

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Filed Under: Time and Work

107 31637
Q:

Akash leaves mumbai at 6 am and reaches Bangalore  at  10 am . Prakash leaves Bangalore at 8 am and reaches Mumbai at 11:30 am. At what time do they cross each other?

A) 10 am B) 8:32 am
C) 8:56 am D) 9:20 am
 
Answer & Explanation Answer: C) 8:56 am

Explanation:

Time taken by Akash = 4 h

Time taken by Prakash = 3.5 h

For your convenience take the product of times taken by both as a distance.

Then  the distance = 14km

Since, Akash covers half of the distance  in 2 hours(i.e at 8 am)

Now, the rest half (i.e 7 km) will be coverd by both prakash and akash

Time taken by them = 7/7.5 = 56 min

Thus , they will cross each other at  8 : 56am.

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Filed Under: Time and Distance

71 31636
Q:

The population of a town was 1,60,000 three years ago, If it increased by 3%, 2.5% and 5% respectively in the last three years, then the present population in 

A) 155679 B) 167890
C) 179890 D) 177366
 
Answer & Explanation Answer: D) 177366

Explanation:

Present population =  160000 *  (1 + 3/100)(1 + 5/200)(1 + 5/100)= 177366.

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Filed Under: Percentage

77 31600
Q:

In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by:

A) 22.75 m B) 25 m
C) 19.5 m D) 18.5 m
 
Answer & Explanation Answer: B) 25 m

Explanation:

A : B = 200 : 169.

 

 

 

A : C = 200 : 182.

 

 

 

C/B = (C/A*A/B) = (182/200*200/169) = 182:169

 

 

 

When C covers 182 m, B covers 169 m.

 

 

 

When C covers 350 m, B covers (169/180*350)m  = 325 m

 

 

 

Therefore, C beats B by (350 - 325) m = 25 m.

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Filed Under: Races and Games

30 31569
Q:

When four fair dice are rolled simultaneously, in how many outcomes will at least one of the dice show 3?

A) 620 B) 671
C) 625 D) 567
 
Answer & Explanation Answer: B) 671

Explanation:

When 4 dice are rolled simultaneously, there will be a total of 6 x 6 x 6 x 6 = 1296 outcomes.

 

The number of outcomes in which none of the 4 dice show 3 will be 5 x 5 x 5 x 5 = 625 outcomes.

 

Therefore, the number of outcomes in which at least one die will show 3 = 1296 – 625 = 671

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48 31516
Q:

The ratio of expenditure and savings is 3 : 2 . If the income increases by 15% and the savings increases by 6% , then by how much percent should his expenditure increases?

A) 25 B) 21
C) 12 D) 24
 
Answer & Explanation Answer: B) 21

Explanation:

Therefore x = 21%

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Filed Under: Alligation or Mixture

138 31497