Quantitative Aptitude - Arithmetic Ability Questions

Q:

K, L and M can do a piece of work in 20, 30 and 60 days respectively. In how many days can K do the total work if he is assisted by L and M on every third day ?

A) 15 days B) 13 days
C) 12 days D) 10 days
 
Answer & Explanation Answer: A) 15 days

Explanation:

In one day work done by K = 1/20

Work done by K in 2 days = 1/10

 

Work done by K,L,M on 3rd day =1/20 + 1/30 + 1/60 = 1/10

Therefore, workdone in 3 days is = 1/10 + 1/10 = 1/5

 

1/5th of the work will be completed at the end of 3 days.

The remaining work = 1 - 1/5 = 4/5

1/5 of work is completed in 3 days

Total work wiil be done in 3 x 5 = 15 days.

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Filed Under: Time and Work
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3 3706
Q:

A steamer moves with a speed of 4.5 km/h in still water to a certain upstream point and comes back to the starting point in a river which flows at 1.5 km/h. The average speed of steamer for the total journey is

A) 12 km/h B) 10 km/h
C) 6 km/h D) 4 km/h
 
Answer & Explanation Answer: D) 4 km/h

Explanation:

Speed of streamer = 4.5 km/hrSpeed of water = 1.5 km/hr

Downstream speed = 4.5+1.5 = 6 km/hr

Upstream speed = 4.5 -1.5 = 3 km/hr

Average Speed = (6 X 3) / 4.5 = 4km/hr

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Filed Under: Boats and Streams
Exam Prep: Bank Exams

11 3705
Q:

A man invested an amount at the rate of 10% p.a. on compound interest and after two years he again invested half of the initial amount. If man got Rs. 457.2 Rs. as interest after three years, find the amount received by man after three years, if he invested same amount on simple interest at rate of 15% p.a.? 

A)  1740 Rs.  B)  1760 Rs. 
C)  1720 Rs.  D)  1780 Rs. 
 
Answer & Explanation Answer: A)  1740 Rs. 

Explanation:

Let man invested Rs. A And, after two years amount invested = (A +

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Filed Under: Simple Interest
Exam Prep: AIEEE , Bank Exams , CAT

25 3703
Q:

Reduce 2714/5074 to lowest terms.

A) 17/23 B) 29/43
C) 23/43 D) 31/37
 
Answer & Explanation Answer: C) 23/43

Explanation:
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Filed Under: Decimal Fractions
Exam Prep: Bank Exams

4 3699
Q:

What is the probability that it is either a heart card or diamond card, when a card is drawn from a well shuffled standard pack of 52 playing cards?

A) 1 B) 1/2
C) 3/4 D) 1/3
 
Answer & Explanation Answer: B) 1/2

Explanation:

P(heart cards)=13/52

P(diamond cards)=13/52

P(heart or diamond)=13/52+13/52=1/2

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Filed Under: Probability

2 3695
Q:

A class consists of both boys and girls along with a teacher. After a class, the teacher drinks 9 litres of water, a boy drinks 7 litres of water and a girl drinks 4 litres of water. If after a class 42 litres of water was consumed, find the number of girls in the class ?

A) 8 B) 6
C) 5 D) 3
 
Answer & Explanation Answer: D) 3

Explanation:

Given teacher drinks 9 ltr
Let number of boys be 'A'.
Let number of girls be 'B'.
Boy drinks 7 ltr and girl drinks 4 ltr
After class total water consumed = 42 ltr
Then,
9 + 7A + 4B = 42
=> 7A + 4B = 33
By trial and error method,
The only integers which satisfy the equation is A = 3 and B = 3
Therefore, number of girls in the class = 3.

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Filed Under: Simplification
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Q:

36 of what number is 18?

A) 38 B) 42
C) 50 D) 62
 
Answer & Explanation Answer: C) 50

Explanation:

Let the required number be 'p'

36 of what number is 18 implies 36% of p = 18

=> 36 x p/100 = 18

=> p = 1800/36

=> p = 50.

 

Hence, 36% of 50 is 18.

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO , IT Trainer

9 3695
Q:

Find the next number in the series 2, 3, 4, 8, 9, 10, 11, 16, 17, 18, 19, 20,...

A) 27 B) 26
C) 24 D) 25
 
Answer & Explanation Answer: B) 26

Explanation:

The pattern is three consecutive numbers and then three consecutive numbers missing.Then four consecutive numbers and then four consecutive numbers missing.Then five consecutive numbers and then five consecutive numbers missing.

 

The next number=20+6=26

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Filed Under: Numbers
Exam Prep: Bank Exams , CAT
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