8
Q:

# In a public bathroom there are n taps 1,2,3...n. Tap1 and Tap2 take equal time to fill the tank while Tap3 takes half the time taken by Tap2 and Tap4 takes half the time taken by Tap3. Similarly each next number of tap takes half the time taken by previous number of Tap i.e, K-th Tap takes half the time taken by (K-1)th Tap. If the 10th tap takes 2 hours to fill the tank alone then what is the ratio of  efficiency of 8th tap and 12th tap, respectively?

 A) 4:1 B) 5:3 C) 16:1 D) 1:16

Explanation:

Time taken by 8th tap = 2 x 2 x 2= 8 hours

Time taken by 12th tap = 2x (1/2) x (1/2)  = 1/2 hour

Ratio of time taken by 8th tap and 12th tap = 8 : 1/2 =16:1

Therefore, Ratio of efficiencies of 8th tap and 12th tap =1:16

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

Explanation:

1 219
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 90
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

Explanation:

4 117
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:

3 206
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:

4 196
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

Explanation:

1 254
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:

0 179
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