Quantitative Aptitude - Arithmetic Ability Questions

Q:

The difference between two numbers is 25. The smaller number is 1/6th of the larger number. What is the value of the smaller number?

A) 10 B) 5
C) 50 D) 25
 
Answer & Explanation Answer: B) 5

Explanation:

Let the larger number be p

Then, smaller number = 1/6 x p = p/6

Given difference between two numbers = 25

p - p/6 = 25

5p/6 = 25

5p = 150

p = 30

Then, p/6 = 30/6 = 5

Hence, larger number = 30 and smaller number = 5 which makes the difference = 25.

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Filed Under: Problems on Numbers
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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3 2926
Q:

Mahesh rows to the place 80 km away and back in 20 hours. He finds that he can row 8 km downstream in the same time as 4 km upstream. The speed of the boat in stillwater is

A) 9 kmph B) 7 kmph
C) 2 kmph D) 5 kmph
 
Answer & Explanation Answer: A) 9 kmph

Explanation:
If Mahesh moves 8 km downstream in X hours

Downstream speed = 8/X kmph

upstream speed = 4/X kmph

Now 80/(8/X) + 80/(4/X)=20

X=2/3

downstream Speed = 8/(2/3)= 12 kmph

upstream Speed = 4/(2/3)= 6 kmph

Rate of the stream = (12+6)/2= 9 kmph

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Filed Under: Boats and Streams
Exam Prep: Bank Exams

10 2925
Q:

How many numbers of five digits can be formed by using the digits 1, 0, 2, 3, 5, 6 which are between 50000 and 60000 without repeating the digits?

A) 120 B) 240
C) 256 D) 360
 
Answer & Explanation Answer: A) 120

Explanation:

Required number of 5 digit numbers can be formed by using the digits 1, 0, 2, 3, 5, 6 which are between 50000 and 60000 without repeating the digits are 

5 x 4 x 3 x 2 x 1 = 120.

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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8 2924
Q:

A shopkeeper allows 25% discount on the marked price of an article and he suffered a loss of 15%. What will be the profit percent if the article is sold at marked price?

A) 11.76 B) 12.12
C) 13.33 D) 14.28
 
Answer & Explanation Answer: C) 13.33

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

7 2924
Q:

Shiv sold a shirt for Rs. 184 at a loss of 8%. To make a profit of 5% he should have sold the shirt for

A) Rs. 210 B) Rs. 197
C) Rs. 207.92 D) Rs. 200
 
Answer & Explanation Answer: A) Rs. 210

Explanation:
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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT

11 2921
Q:

A bus starts running with the initial speed of 21 km/hr and its speed increases every hour by 3 km/hr. How many hours will it take to cover a distance of 252 km?

A) 3 B) 5
C) 8 D) 10
 
Answer & Explanation Answer: C) 8

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

3 2919
Q:

If a boat goes upstream at a speed of 18 km/hr and comes back the same distance at 30 km/hr. What is the average speed (in km/hr) for the total journey?

A) 22.5 B) 24
C) 20.5 D) 25
 
Answer & Explanation Answer: A) 22.5

Explanation:
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Filed Under: Boats and Streams
Exam Prep: Bank Exams

12 2912
Q:

To travel 432 km, an Express train takes 1 hour more than Duronto. If however, the speed of the Express train is increased by 50%, it takes 2 hours less than Duronto. What is the speed (in km/hr) of Duronto train?

A) 60 B) 54
C) 48 D) 72
 
Answer & Explanation Answer: B) 54

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

4 2911