7
Q:

# A, B and C can do a piece of work in 72, 48 and 36 days respectively. For first p/2 days, A & B work together and for next ((p+6))/3days all three worked together. Remaining 125/3% of work is completed by D in 10 days. If C & D worked together for p day then, what portion of work will be remained?

 A) 1/5 B) 1/6 C) 1/7 D) 1/8

Explanation:

Total work is given by L.C.M of 72, 48, 36

Total work = 144 units

Efficieny of A = 144/72 = 2 units/day

Efficieny of B = 144/48 = 3 units/day

Efficieny of C = 144/36 = 4 units/day

According to the given data,

2 x p/2 + 3 x p/2 + 2 x (p+6)/3 + 3 x (p+6)/3 + 4 x (p+6)/3 = 144 x (100 - 125/3) x 1/100

3p + 4.5p + 2p + 3p + 4p = 84 x 3 - 54

p = 198/16.5

p = 12 days.

Now, efficency of D = (144 x 125/3 x 1/100)/10 = 6 unit/day

(C+D) in p days = (4 + 6) x 12 = 120 unit

Remained part of work = (144-120)/144 = 1/6.

Q:

Amit and Sunil together can complete a work in 9 days, Sunil and Dinesh together can complete the same work in 12 days, and Amit and Dinesh together can complete the same work in 18 days. In how many days will they complete the work if Amit, Sunil and Dinesh work together?

 A) 12 days B) 8 days C) 14 days D) 16 days

Answer & Explanation Answer: B) 8 days

Explanation:

1 198
Q:

X can complete a work in 27 days and Y can do the same work in half of the time taken by X. Working together what part of the same work can they complete in a day?

 A) 1/9 B) 1/6 C) 1/12 D) 2/27

Explanation:

2 79
Q:

A, B and C can individually complete a task in 20 days, 16 days and 30 days, respectively. If A and B started working on the task, and they worked for 4 days and left, then the number of days required by C to finish the remaining task is:

 A) 16.5 days B) 13 days C) 10 days D) 12.5 days

Answer & Explanation Answer: A) 16.5 days

Explanation:

4 111
Q:

A can do a piece of work in 6 days. B can do it in 9 days. With the assistance of C they completed the work in 3 days. In how many days can C alone do the work ?

 A) 18 B) 8 C) 12 D) 16

Explanation:

3 203
Q:

X and Y can complete a work in 5 days. Y and Z can complete the same work in 6 days. Z and X can complete the same work in 15/2 days. In how many days will X, Y and Z together complete the work?

 A) 2 B) 4 C) 3 D) 2/5

Explanation:

4 195
Q:

Ram and Shyam can complete a task in$623$ days and 15 days, respectively. They work together for 4 days, and then Ram leaves. In how many days after Ram leaves, will Shyam complete the remaining task alone?

 A) 112days B) 3 days C) 4 days D) 2 days

Answer & Explanation Answer: D) 2 days

Explanation:

1 246
Q:

X and Y can do a piece of work in 10 days, Y and Z in 12 days and Z and X in 15 days. In how many days can Z alone do the work?

 A) 40 B) 24 C) 18 D) 36

Explanation:

0 178
Q:

A and B can complete a piece of work together in 20 days. They start work together but A had to leave 5 days before the work finally got over. If B finishes the remaining in 18 days, then how long will A take to complete the work separately.

 A) 100 days B) 120 days C) 72 days D) 64 days

Answer & Explanation Answer: D) 64 days

Explanation: