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Pattern: Time to fill bucket

This is a simple common sense based question:

We will be given a container/vessel/bucket in which liquid is getting doubled after a given time

period and we need to find the time to fill it completely.Example

There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1liter every hour in A, it gets filled up like, 10, 20, 40,80, 160..in tank B. (At the end of first

hour, B has 10 liters, second hour it has 20 liters and so on). If tank B is 1/32 filled in 21 hours,

what is total duration of hours required to fill it completely?a) 26 B)25 c)5 d)27

Solution:Just forget about tank A.

The water in tank B is doubled every hour.1/32 filled in 21 hours (Given)

=> 1/16 filled in 22nd hour

=> 1/8 filled in 23rd hour

=> 1/4 filled in 24th hour

=> 1/2 filled in 25th hour=> 1 filled in 26th hour i.e COMPLETELY FILLED

Answer : option a

Shortcut Method: See the initial state of the tank B as 1/2^5 (1/2^5=1/32) . Now add this

exponent i.e 5 to given hours i.e 21, so ans is 21+5=26 hours.

You can try the questions with similar pattern:

2. There are two pipes A and B. If A filled 10 liters in an hour, B can fill 20 liters in same time.Likewise B can fill 10, 20, 40, 80, 160... If B filled in 1/16 of a tank in 3 hours, how much

time will it take to fill the tank completely?

a) 9 B)8 c)7 d)6

3. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1

liter every hour in A, it gets filled up like, 10, 20, 40,80, 160..in tank B. 1/8 th of the tank B is

filled in 22 hours. What is the time to fill the tank fully?a) 26 B)25 c)5 d)27

4. A tank is filled with water. In first hour 10 liters, second hours 20 liters, and third hour 40liters and so onIf time taken to fill of the tank if 5 hours. What is the time taken to fill up the

tank?

a) 5 B)8 c)7 d)12.5

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5. If a tank A can be filled within 10 hours and tank B can be filled in 19 hours then, what is

the time taken to fill up the tank completely?

a) 21 B)38 c)57 d)76Posted by THe GEEK at 20:220 comments

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Pattern: Find unknown x

This type of questions are very simple and require you to fin the value of x by substitution of the

given condition:Example:

1. (1/2) of a number is 3 more than the (1/6) of the same number?a) 6 b)7 c)8 d)9

Solution:

Let the number be x.The equation will be:

x/2=3+x/6

=> x/2-x/6=3

=> 2x/6=3

i.e x=9 (Option d)

You can try the questions with similar pattern:

2. (1/3) of a number is 3 more than the (1/6) of the same number?a) 6 b)16 c)18 d)21

3. (1/3) of a number is 6 more than the (1/6) of the same number?

a) 6 b)18 c)36 d)24

4. (2/3) of a number is 4 more than the (1/6) of the same number?

a) 6 b)8 c)36 d)24

5. (1/3) of a number is 5 more than the (1/6) of the same number?

a) 6 b)36 c)30 d)72

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