# Deloitte aptitude questions

Do you aspire to work for Deloitte? If so, you must ensure that you are well-versed in aptitude questions and answers. Aptitude questions form a required session of the Deloitte Job test and can make or break your chances of selection. To ace the exam, you must understand the different types of aptitude questions and their responses. Please see the list of frequently asked questions and answers for Deloitte recruitment below.

1. Two pipes A and B can fill a cistern in 32 and 48 minutes respectively. Both pipes being opened, find when pipe B must be turned off, so that the cistern gets filled in 24 minutes?

• As the cistern is getting filled in 24 minutes,

pipe A can fill only 24/32 = ¾ of the cistern in total time.

This means the other ¼ must be filled by pipe B.

Now B can fill the whole tank in 48 minutes, so ¼ of the tank can be filled in ¼ of 48 minutes i.e. 12 minutes.

• Now the pipe B is opened from the beginning, it should be turned off after 12 minutes and that is the answer.

Other method:

• Let us assume that B is closed after x min.

Then part filled by (A + B) in x min + part filled by A in (24 – x) min = 1.

So x (1/32 + 1/48) + (24 – x) 1/32 = 1.

Solving this equation, we get x = 12.

So B should be closed after 12 min.

1. Two filling pipes M and N can fill a tank in 20 hours and 60 hours respectively. There is an outlet P also. If all the pipes are opened together, then tank is full in 40 hours. How much time would be taken by P to empty the full tank if working alone?

• Let us assume that leak empties the tank in x hours.

So 1/20 + 1/60 – 1/x = 1/40.

• Solving this equation,

we get x = 24.

Hence the tank would be empty in 24 hours.

1. The square root of the sum of two consecutive integers is 7. Find the two integers?

• Let first number be x

So second number = x + 1

So, as per question,

$\sqrt{x+x+1}$ = 7

$\sqrt{2x+1}$ = 7

• Now, on squaring both sides.

$2x+1 = 49$

$2x = 49-1$

x =$\frac{48}{2}$

$x =24$

• So the two integers are 24 and 25

1. At what rate of SI per annum will double itself in 8 years?

• Here, Use Rate = $\frac{(N - 1)\times 100}{T}$ ; Where N shows how much times of Principal amount.

• Rate = $\frac{(2 - 1)\times 100}{8}$

Rate = 12.5%

• $\frac{A}{D} = \frac{A}{B} \times \frac{B}{C} \times\frac{C}{D}$
=$\frac{2}{3} \times \frac{2}{4} \times\frac{2}{5}$
• Answer is $2:15$.