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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

A alone can do a work in 20 days. B is 125% more efficient than A. A and B started working and worked for 4 days. If C alone completed the remaining job in 22 days. How many days C alone takes to complete the entire job?

A) 30 B) 35
C) 40 D) 42
 
Answer & Explanation Answer: C) 40

Explanation:
A alone can do = 20days 
 
Efficiency ratio of A & B= 4 : 5

Time required will be in ratio = 5:4

B alone will do it in =16 days

LCM of (16,20)= 80 ,
 
Assume work size of 80 units

 

1 day work of A= 4 units 1 day work of B= 5 units

 

Work done by both in 4 days= 4*(5+4)= 36 units

 

Work left= 80-36= 44 units

 

Now C takes 22 days to complete= 44 units.

 

Time taken by C alone to complete the work= 40 days
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Filed Under: Time and Work
Exam Prep: Bank Exams

0 3332
Q:

At a game of billiards, A can give B 15 points in 60 and A can give C to 20 points in 60. How many points can B give C in a game of 90?

A) 30 points B) 20 points
C) 10 points D) 12 points
 
Answer & Explanation Answer: C) 10 points

Explanation:

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Filed Under: Races and Games

2 3330
Q:

12 men complete a work in 14 days. 5 days after they had started working, 3 men join them. How many more days will all of them take to complete the remaining work?

A) 5 B) 4
C) 3 D) 2
 
Answer & Explanation Answer: C) 3

Explanation:

Let p be the required number of days.

From the given data,

12 x 14 = 12 x 5 + (12+3) x p 

12 x 14 = 12[5 + 3p]

14 = 5 + 3p

3p = 9

p = 3 days.

 

Hence, more 3 days all of them take to complete the remaining work.

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Filed Under: Time and Work
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2 3320
Q:

A clock gains 15 minutes per day. If it is set right at 12 noon, the time it shows at 4 AM is

A)  4.20 AM B)  4.30 AM
C) 4.02 AM D) 4.10 AM
 
Answer & Explanation Answer: D) 4.10 AM

Explanation:
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Filed Under: Clocks
Exam Prep: Bank Exams

16 3317
Q:

4 years ago, the ratio of 1/2 of Anita's age at that time and four times of Bablu's age at that time was 5 : 12. Eight years hence,1/2 of Anita's age at that time will be less than Bablu's age at that time by 2 years. What is Bablu's present age?

A) 10 years B) 24 years
C) 9 years D) 15 years
 
Answer & Explanation Answer: A) 10 years

Explanation:
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Filed Under: Problems on Ages

14 3311
Q:

A woman suffered 20% loss on first investment and made 10% profit at second investment and 12 ½% profit on the third investment. If the invested amount be in the ratio of 4 : 5 : 3, find her profit percentage?

A) 0.625% B) 1.205%
C) 0.987% D) 0%
 
Answer & Explanation Answer: A) 0.625%

Explanation:

From the given data,

let the amounts invested be 4p, 5p and 3p

Net profit = Total profit - Total loss

= 10x5p/100 + 25x3p/200 - 20x4p/100

= 0.875p - 0.8p

= 0.075p

Therefore, profit% = (Net profit/Total investment) x 100

= 0.075 x 100/12 

= 0.0625%

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Filed Under: Percentage
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9 3305
Q:

The ages of Sunil and Anil are in the ratio 8:7, after 6 years, the ratio of their ages will be 19 : 17. What is the difference in their present ages?

A) 10 years B) 6 years
C) 8 years D) 4 years
 
Answer & Explanation Answer: D) 4 years

Explanation:

suppose the ages of Sunil and Anil are 8x yr and 7x yr, respectively.
After 6 yr, = 136x + 102 = 133x + 114
136x – 133x = 114 – 102
3x = 12 X = 12/3 = 4
Age of Sunil = 8x = 8 × 4 = 32 yr
Present age Anil = 7x = 7 × 4 = 28 yr
Required difference = (32 – 28) = 4 yr

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

3 3304
Q:

In a test, 14% of the students failed in Maths and 22% failed in Hindi. If 18% of the students failed in both the subjects, then the percentage of students who passed in both the subjects is

A) 46 B) 44
C) 42 D) 40
 
Answer & Explanation Answer: A) 46

Explanation:

Let the number of students = 100

Number of students who failed in one or more subjects = 14 + 22 + 18 = 54%

The percentage of students who passed in both the subjects = 100 - 54 = 46%.

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Filed Under: Percentage
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7 3300