3
Q:

M, N and O can complete the work in 18, 36 and 54 days respectively. M started the work and worked for 8 days, then N and O joined him and they all worked together for some days. M left the job one day before completion of work. For how many days they all worked together?

A) 4 B) 5
C) 3 D) 6

Answer:   B) 5



Explanation:

Let M, N and O worked together for x days.

From the given data,
M alone worked for 8 days
M,N,O worked for x days
N, O worked for 1 day

But given that
M alone can complete the work in 18 days
N alone can complete the work in 36 days
O alone can complete the work in 54 days

The total work can be the LCM of 18, 6, 54 = 108 units

M's 1 day work = 108/18 = 6 units
N's 1 day work = 108/36 = 3 units
O's 1 day work = 108/54 = 2 units

Now, the equation is
8 x 6 + 11x + 5 x 1 = 108
48 + 11x + 5 = 108
11x = 103 - 48
11x = 55
x = 5 days.

Hence, all M,N and O together worked for 5 days.

Q:

A and B can complete a piece of work in 15 days and 10 days respectively. They got a contract to complete the work for ₹35000. The share of A (in ₹) in the contracted money will be:

 

A) 7000 B) 21000
C) 14000 D) 15000
 
Answer & Explanation Answer: C) 14000

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3 215
Q:

A and B can complete a piece of work in 15 days and 10 days respectively. They got a contract to complete the work for ₹35000. The share of B (in ₹) in the contracted money will be:

 

A) ₹15000 B) ₹14000
C) ₹21000 D) ₹7000
 
Answer & Explanation Answer: C) ₹21000

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0 204
Q:

A and B can complete a piece of work in 15 days and 10 days respectively. They got a contract to complete the work for ₹75000. The share of B (in ₹) in the contracted money will be:

 

A) 45,000 B) 30,000
C) 35,000 D) 40,000
 
Answer & Explanation Answer: A) 45,000

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1 333
Q:

If 16 men working 12 hours a day can complete a work in 27 days, then working for how many hours a day can 18 men complete the work in 24 days ?

 

A) 9 B) 18
C) 16 D) 12
 
Answer & Explanation Answer: D) 12

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1 740
Q:

If 40 men working 12 hours a day can complete a work in 8 days, then how many men working 4 hours a day can complete the same work in 16 days?

 

A) 50 B) 60
C) 54 D) 45
 
Answer & Explanation Answer: B) 60

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2 388
Q:

A can complete a piece of work in 20 days and B can complete 20% of the work in 6 days. If they work together in how many dayscan they finish 50% of the work, if they work together

 

A) 12 B) 6
C) 8 D) 9
 
Answer & Explanation Answer: B) 6

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3 601
Q:

Shyam can complete a task in 12 days by working 10 hours a day. How many hours a day should he work to complete the task in 8 days?

 

A) 12 B) 15
C) 16 D) 14
 
Answer & Explanation Answer: B) 15

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1 738
Q:

5 men and 8 women can complete a task in 34 days, whereas 4 men and 18 women can complete the same task in 28 days. In how many days can the same task be completed by 3 men and 5 women?

 

A) 56 B) 72
C) 64 D) 36
 
Answer & Explanation Answer: A) 56

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5 865