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Q:

A person goes to his office at 1/3rd of the speed at which he returns from his office. If the average speed during the whole trip is 12 m /h . what is the speed of the person while he was going to his office?

A) 10	B) 6
C) 8	D) can't be determined

Answer & Explanation Answer: C) 8

Explanation:

u = k , v= 3k

$∴ \frac{2 u v}{u + v} \Rightarrow \frac{2 \times k \times 3 k}{(k + 3 k)} = 12$ => k = 8km/h

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Filed Under: Time and Distance

Q:

A tank has an inlet and outlet pipe. The inlet pipe fills the tank completely in 2 hours when the outlet pipe is plugged. The outlet pipe empties the tank completely in 6 hours when the inlet pipe is pluggeed.

If there is a lekage also which is capable of draining out the liquid from the tank at half of the rate of outet pipe,them what is the time taken to fill the emty tank when both the pipes are opened?

A) 3 hours	B) 4 hours
C) 5 hours	D) None of these

Answer & Explanation Answer: B) 4 hours

Explanation:

Rate of leakage = 8.33% per hour

Net efficiency = 50 - (16.66 + 8.33)= 25%

Time required = 100/25 = 4 hours

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Filed Under: Time and Work

Q:

Four pipes P,Q, R and S can fill a cistern in 20,25, 40 and 50 hours respectively.The first pipe P was opened at 6:00 am, Q at 8:00 am, R at 9:00 am and S at 10:00 am. when will the Cistern be full?

A) 4:18 pm	B) 3:09 pm
C) 12:15 pm	D) 11:09 am

Answer & Explanation Answer: B) 3:09 pm

Explanation:

Efficiency of P= 100/20= 5% per hour

Efficiency of Q= 100/25= 4% per hour

Efficiency of R= 100/40= 2.5% per hour

Efficiency of S=100/50= 2% per hour

Cistern filled till 10 am by P, Q and R

$\begin{matrix} Till 10.00 am Pipe P filled 20 % \\ Till 10.00 am Pipe Q filled 8 % \\ Till 10.00 am Pipe R filled 2.5 % \end{matrix}\} 30.5 %$

Thus, at 10 am pipe P,Q and R filled 30.5% of the cistern.

Rest of cistern to be filled = 100 - 30.5 = 69.5%

Now, the time taken by P,Q,R and S together to fill the remaining capacity of the cistern

= 69.5 / (5+4+2.5+2) = 5 Hours and 9 minutes(approx).

Therefore, total time =4 hrs + 5hrs 9 mins = 9 hrs and 9 mins

It means cistern will be filled up at 3:09 pm

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Filed Under: Time and Work

Q:

A single reservoir supplies the petrol to the whole city, while the reservoir is fed by a single pipeline filling the reservoir with the stream of uniform volume. When the reservoir is full and if 40,000 liters of petrol is used daily, the suply fails in 90 days.If 32,000 liters of petrol is used daily, it fails in 60 days. How much petrol can be used daily with out the supply ever failing?

A) 64000 liters	B) 56000 liters
C) 78000 liters	D) 60000 liters

Answer & Explanation Answer: B) 56000 liters

Explanation:

Let x liter be the per day filling and v litr be the capacity of the reservoir, then

90x + v = 40000 * 90 -----(1)

60x + v= 32000 * 60 ------(2)

solving eq.(1) and (2) , we get

x = 56000

Hence , 56000 liters per day can be used without the failure of supply.

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Filed Under: Time and Work

Q:

The Third Battle of Panipat was Fought between the

A) Afghans and the Marathas	B) Afghans and the Sikhs
C) Marathas and the Mughals under Shah Alam II	D) None of the above

Answer & Explanation Answer: A) Afghans and the Marathas

Explanation:

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Filed Under: Indian History

Q:

The Principal purpose of Akbar in following the Strategy of befriending Rajputs and seeking their cooperation was to

A) Secure matrimonial alliances	B) Strengthen the foundations of Mughal Empire in India
C) Wipe out Afghan power from the land	D) Check the inflow of foreign invaders of india

Answer & Explanation Answer: B) Strengthen the foundations of Mughal Empire in India

Explanation:

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Filed Under: Indian History

Q:

The First Battle of panipat was fought between the forces of

A) Akbar and Hemu	B) Abdali and the Marathas
C) Humayun and Sher Shah Suri	D) Babar and Ibrahim Lodhi

Answer & Explanation Answer: D) Babar and Ibrahim Lodhi

Explanation:

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Filed Under: Indian History

Q:

One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 min, then the slower alone will be able to fill the tank in:

A) 81 min	B) 108 min
C) 144 min	D) 192 min

Answer & Explanation Answer: C) 144 min

Explanation:

Let the slower pipe alone fill the tank in x minutes.

Then,faster pipe will fill it in x/3 minutes.

$= > \frac{1}{x} + \frac{3}{x} = \frac{1}{36} = > \frac{4}{x} = \frac{1}{36} = > x = 144 m i n s$

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Filed Under: Pipes and Cistern

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