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Study Material







Q #11
:

Directions: Read the following information to answer the question.

A sum of money is sufficient to pay A’s wages for 21 days and B’s wages for 28 days. The same money is sufficient to pay the wages of both for:

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 Explanation :

 Let total money be Rs. x.

 A's 1 day's wages = Rs.x/21

 , B's 1 day's wages = Rs.    x/28

  (A + B)'s 1 day's wages = Rs.x/21+x/28 = Rs.x/12

 Money is sufficient to pay the wages of both for 12 days.        


Q #12
:

Directions: Read the following information to answer the question.

A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?

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Explanation :

 A's 1 hour's work =1/4

 ; (B + C)'s 1 hour's work =1/3

 ; (A + C)'s 1 hour's work =1/2

 (A + B + C)'s 1 hour's work =1/4+1/3

 =7/12

 (A + B + C)'s 1 hour's work =1/4+1/3=7/12

 B's 1 hour's work =7/12-1/2 =1/12

  B alone will take 12 hours to do the work.


Q #13
:

Directions: Read the following information to answer the question.

A, B and C can complete a work separately in 24, 36 and 48 days respectively. They started together but C left after 4 days of start and A left 3 days before the completion of the work. In how many days will the work be completed?

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Explanation :

 (A + B + c)’s 1 day’s work =1/24+1/36+1/4=13/144

 Work done by (A + B +C) in 4 days ={13/144}x 4    =13/36

 Work done by B in 3 days ={1/36}x 3=1/12

. Remaining work =1 -13/36+1/12=5/9

 (A + B)’s 1 day’s work =    1/24+1/36=5/72

 Now,5/72

 work was done by A and B in{72/5}x{5/9} = 8 days.     

 Hence, total time taken = (4 + 3 + 8) days = 15 days.


Q #14
:

Directions: Read the following information to answer the question.

A man can do a piece of work in 5 days, but with the help of his son, he can do it in 3 days. In what time can the son do it alone?

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Explanation :

 Son's 1 day's work =1/3-1/5=2/15

 The son alone can do the work in   

15/2  days.


Q #15
:

Directions: Read the following information to answer the question.

A does half as much work as B in three-fourth of the time. If together they take 18 days to complete the work, how much time shall B take to do it?

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Explanation :

 Suppose B takes x days to do the work.

  A takes {2 x3/4}x=3x/2

 days to do it.         

 (A + B)'s 1 day's work =    1/18

 1/x=2/3x=1/18

 or x = 30