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Q #21
⏰ :

Directions: Read the following information to answer the question.

A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:

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Explanation :

 (A + B + C)'s 1 day's work =1/24+1/6+1/12=7/24

 So, A, B and C together will complete the job in    24/7days.


Q #22
⏰ :

Directions: Read the following information to answer the question.

A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:

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Explanation : (B + C)’s 1 day’s work = 1/9+1/12=7/36 Work done by B and C in 3 days ={7/36} x 3=7/12 Remaining work =1 -7/12=5/12 Now,1/24Work is done by A in 1 day. So,5/12 work is done by A in 24 x{5/12}= 10 days.

Q #23
⏰ :

Directions: Read the following information to answer the question.

A, B and C are employed to do a piece of work for Rs. 529. A and B together are supposed to do19/23 of the work and B and C together8/23 of the work. What amount should A be paid?

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Explanation :

 Work done by A =1 -8/23=15/23

  A: (B + C) =15/23:8/23 = 15 : 8                     

 So, A's share = Rs.{15/23}x 529    = Rs. 345


Q #24
⏰ :

Directions: Read the following information to answer the question.

A can do a piece of work in 10 days; B in 15 days. They work for 5 days. The rest of the work was finished by C in 2 days. If they get Rs. 1500 for the whole work, the daily wages of B and C are:

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Explanation :

 Part of the work done by A ={1/10}x 5=    1/2

 Part of the work done by B ={1/15}x 5=1/3

 Part of the work done by C = 1 -    1/2+1/3=1/6

 So, (A’s share) : (B’s share) : (C’s share) =1/2:1/3:1/6 = 3 : 2 : 1     

 A's share = Rs{.3/6}x 1500= Rs. 750, B's share = Rs.{2/6}x 1500 = Rs. 500.     

 C's share = Rs.{1/6}x 1500 = Rs. 250.         

 A’s daily wages = Rs.750/5

  = Rs. 150, B's daily wages = Rs.    500/5 = Rs. 100.     

 C’s daily wages = Rs.250/2

  = Rs. 125.         

 Daily wages of B and C = Rs. (100 + 125) = Rs. 225.


Q #25
⏰ :

Directions: Read the following information to answer the question.

Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is:

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Explanation :

 

Ratio of times taken by Sakshi and Tanya = 125 : 100 = 5 : 4.

 Suppose Tanya takes x days to do the work.

 5 : 4 :: 20 : x   

 x ={4 x 20}/5

 x = 16 days.    Hence, Tanya takes 16 days to complete the work