## Saturday, 12 March 2016

1. Aarti can do a piece of work in 6 days. In how many days will she complete the three time of work
of same type ?
1) 18 days   2) 21 days   3) 3 days   4) 6 days   5) None of the above
Solution: ( 1).
We have the important relation, more work , more time ( days)
Since A piece of work can be done in 6 days
Therefore three times of work of same type can be done in 6 x 3 = 18 days

2. A, B and C can complete a work in 2 h. If A does the job alone in 6 h and B in 5 h , how long will it
take for C to finish the job alone ?
1) 5 ½ h 2) 7 ½ h 3) 9 h 4) 4 ½ h 5) None of the above
Solution: (2).
Let C alone can finish the job in x h.
According to the question,
Work done by A , B and C in 1 h = ½
= 1/6 + 1/5 + 1/x = ½
= 1/x = ½ - 1/6 – 1/5 = ( 15 -5-6) / 30
= 4/30 = 2/15
Therefore x = 7 ½ h

3.  A and B together can complete a work in 3 days. They started together but after 2 days, B left the
work. If the work is completed after 2 more days, B alone could do the work in how many days ?
1) 5  2) 6  3) 7  4) 10  5) None of the above
Solution: (2)
( A+B )’s 2 day’s work = 2 x 1/3 = 2/3
Remaining work = 1 – 2/3 = 1/3
A will complete 1/3 work in 2
A will complete 1 work in 6
A’ s 1 day’s work = 1/6
B’s 1 day’s work = 1/3 - 1/6 = 1/6
Therefore B will take 6 days to complete the work alone

4. P and Q can finish a work in 30 days. They worked at it for 10 days and then Q left . The remaining
work is done by P alone in 20 more days. How long will P take to finish the work alone?
1) 30 days  2) 20 days    3) 60 days  4) 50 days  5) None of the above
Solution: (1)
( P + Q ) ‘s 10 day’s work = 1/30 x 10 = 1/3
Remaining work = ( 1 – 1/3 ) = 2/3
2/3 work is done by P in 20
Therefore whole work is done by P in
20 x 3/2 = 30 days

5. If 5 boys take 7 h to pack 35 toys, how many boys can pack 65 toys in 3 h ?
1) 26  2) 39  3) 45  4) 65  5) None of the above
Solution: (5).
Given , M1 = 5, M2 = ?, T1 = 7, T2 = 3,
W1 = 35 and W2 = 65
According to the formula ,
M1T1W2 = M2T2W1
= 5 x 7 x 65 = M2 x 3 x 35
Therefore M2 = ( 5 x 7 x 65 ) / ( 35 x 3) = 65 / 3 boys

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