Quantitative Aptitude - Arithmetic Ability Questions

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 31214
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 31195
Q:

In an examination, a pupil's average marks were 63 per paper. If he had obtained 20 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination ?

A) 8 B) 9
C) 10 D) 11
 
Answer & Explanation Answer: D) 11

Explanation:

Let the number of papers be x. Then, 63x + 20 + 2 = 65x or 2x = 22 or x = 11.

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Filed Under: Average

85 31150
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 31094
Q:

By selling an article at Rs.800, a shopkeeper makes a profit of 25%.At what price should he sell the article so as to make a loss of 25%?

A) Rs.720 B) Rs.640
C) Rs.540 D) Rs.480
 
Answer & Explanation Answer: D) Rs.480

Explanation:

SP = Rs.800 ; Profit = 25%

 CP = SP x 100100+P% = 800 x 100100+25 = 640

 

 Now, CP = Rs.640

 

Loss = 25% = 25% of Rs.640 = Rs.160

 

Thus, SP = CP - Loss = Rs.640 - Rs.160 = Rs.480

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

42 31092
Q:

By selling 33 m clothes, a person gains cost price of 11 m clothes. Find the gain %.

 

A) 30% B) 33.33%
C) 25% D) 35%
 
Answer & Explanation Answer: B) 33.33%

Explanation:
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Filed Under: Profit and Loss
Exam Prep: Bank Exams

3 31046
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 31012
Q:

How many leap years do 300 years have?

A) 75 B) 74
C) 72 D) 73
 
Answer & Explanation Answer: C) 72

Explanation:

Given year is divided by 4, and the quotient gives the number of leap years.

Here, 300%4 = 75.

But, as 100,200 and 300 are not leap years => 75 - 3= 72 leap years.

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Filed Under: Calendar

102 30988