35
Q:

There are three boats B1, B2 and B3 working together they carry 60 people in each trip. One day an early morning B1 carried 50 people in few trips alone. When it stopped carrying the passengers B2 and B3 started carrying the people together. It took a total of 10 trips to carry 300 people by B1, B2 and B3. It is known that each day on an average 300 people cross the river using only one of the 3 boats B1, B2 and B3. How many trips it would take to B1, to carry 150 passengers alone?

A) 15 B) 30
C) 25 D) 10

Answer:   A) 15



Explanation:

Combined efficiency of all the three boats = 60 passenger/trip 

 

Now, consider option(a)

 

15 trips and 150 passengers means efficiency  of B1 =  10 passenger/trip 

 

which means in carrying 50 passengers B1 must has taken 5 trips. So the rest trips equal to 5 (10-5 = 5) in which B2 and B3 together carried remaining 250 (300 - 50 = 250) Passengers.

 

Therefore the efficiency of B2 and B3 = 250/5 = 50 passenger/trip  

 

Since, the combined efficiency of B1, B2 and B3 is 60. Which is same as given in the first statement hence option(a) is correct.

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:
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1 233
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
 
Answer & Explanation Answer: A) 1/9

Explanation:
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2 91
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

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4 121
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
 
Answer & Explanation Answer: A) 18

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3 208
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
 
Answer & Explanation Answer: B) 4  

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4 198
Q:

Ram and Shyam can complete a task in623 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

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1 258
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
 
Answer & Explanation Answer: A) 40

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0 180
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

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0 303