The loss of head due to viscosity for laminar flow in pipes is (where d = Diameter of pipe, l = Length of pipe, v = Velocity of the liquid in the pipe, μ = Viscosity of the liquid, and w = Specific weight of the flowing liquid)

The loss of head due to viscosity for laminar flow in pipes is (where d = Diameter of pipe, $$l$$ = Length of pipe, v = Velocity of the liquid in the pipe, $$\mu $$ = Viscosity of the liquid and w = Specific weight of the flowing liquid)

A

$$\frac{{4\mu {\text{v}}l}}{{{\text{w}}{{\text{d}}^2}}}$$

B

$$\frac{{8\mu {\text{v}}l}}{{{\text{w}}{{\text{d}}^2}}}$$

C

$$\frac{{16\mu {\text{v}}l}}{{{\text{w}}{{\text{d}}^2}}}$$

D

$$\frac{{32\mu {\text{v}}l}}{{{\text{w}}{{\text{d}}^2}}}$$

In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: There are two inlet pipes A, B and two outlet pipes C, D inlet pipe B takes 7 hours more to fill the tank when compared to A. Two outlet pipes when working together can empty the tank in 3.5 hours and efficiency of both the pipe is same if all of them working together can fill the tank in 2 hours. Calculate the time taken by A to fill the tank. Quantity B: The ratio of efficiencies of two pipes A and B is in the ratio 3 ∶ 2 and that of pipe B and C is 1 ∶ 3. Pipe A and B are inlet pipes, pipe C is outlet pipe working together they can fill the tank in 7.5 hours. Calculate the time taken by A to fill the tank when working alone.

A

Quantity A > Quantity B

B

Quantity A < Quantity B

C

Either Quantity A = Quantity B or no relation can be established

D

Quantity A ≥ Quantity B

E

Quantity A ≤ Quantity B

What is the condition for a tree to be weight balanced. where a is factor and n is a node? >= a*weight and weight >= a*weight. b) weight >= a*weight and weight >= a*weight. c) weight >= a*weight and weight >= a*weight. d) weight is a non zero

A

weight >= a*weight and weight >= a*weight.

B

n.left

C

n.left

D

n.left

There are 12 pipes connected to a tank. Some of them are fill pipes and other are drain pipes. Each of the fill pipes can fill the tank in 8 hours and each of the drain pipes can drain completely in 6 hours. If all the pipes are kept open, an empty tank get filled in 24 hours. How many of the 12 pipes are filled pipes?

A

4

B

5

C

6

D

7

E

8

Two pipes are connected to tank 1 and one pipe connects tank 1 and tank 2 at the bottom of both tanks. At first pipe A and pipe B will filling tank 1 and then pipe C would be opened to fill tank 2. Capacity of tank 1 is twice capacity of tank 2. Pipe C takes 8 minutes to fill the whole tank 2 wherein discharging capacity of pipe C is 62.5 liters per minute. Ratio of time taken by pipe A and B to fill the tank when operating alone is 4 : 5 then find approximate discharging capacity of pipe A and B in liters/ minute if both the pipes discharge equal amount of water in tank. Time taken by pipe A and B to fill the tank 1 is 20/ 3 minutes

A

38 liters/ minute, 30 liters/ minute

B

42 liters/minute, 33 liters/ minute

C

44 liters/ minute, 31 liters/ minute

D

41 liters/ minute, 30 liters/ minute

E

45 liters/ minute, 28 liters/ minute

Five pipes P, Q, R, S, and T can fill a tank in 60 minutes, 20 minutes, 30 minutes, 8 minutes, 32 minutes respectively. Out of these five pipes, two have now been converted into emptying pipes such that their efficiency remains the same. When only one of the filling pipes and one of the emptying pipes operate, the tank can be filled in 60 minutes while another combination of emptying and filling pipe empties it in 8/45th of the time taken by the previous combination to fill the tank. Which pipes are converted into emptying pipes?

A

Q-S, P-T

B

Q-R, R-S

C

P-Q, Q-R

D

Cannot be determined

A container of 425 liters was filled with chemicals through two pipes. The first pipe was kept open for 5 hours more than the second pipe. If the first pipe remains open for as long as the second pipe remains open, and the second pipe remains open for as long as the first pipe remains open, then the quantity of chemical filled by the first pipe was half the quantity of chemical filled by the second pipe. If both the pipes are opened simultaneously, the tank will be filled in 17 hours. For how long was the second pipe open?

A

15 hours

B

25 hours

C

10 hours

D

20 hours

Weight of Arun is 4/7 of the weight of Bablu. Weight of Bablu is 1/2 of the weight of Ram. Weight of Ram is 4 times of the weight of Deep. Weight of Deepis 1/9 of the weight of Ankit. Whose weight is more than the weight of Deep but less than the weight of Bablu?

A

Ankit

B

Arun

C

Ram

D

Deep

There are seven persons - A, B, C, D, E, F and G. They have different weights. The weight of second heaviest person is 185 kg and the weight of second lightest person is 85 kg. Sum of weight of C and D is 290 kg. Only Three persons have more weight than D. E is heavier than both F and G but F is not lightest. The weight of A is 250 kg. Sum of weight of F and G is 135 kg. B is heavier than both C and D but C is not lightest. The weight of D is 140 kg. The weight of E is obtained from removing weight of C from weight of A. Who is the Fourth lightest person?

A

C

B

G

C

B

D

There are seven persons - A, B, C, D, E, F and G. They have different weights. The weight of second heaviest person is 185 kg and the weight of second lightest person is 85 kg. Sum of weight of C and D is 290 kg. Only Three persons have more weight than D. E is heavier than both F and G but F is not lightest. The weight of A is 250 kg. Sum of weight of F and G is 135 kg. B is heavier than both C and D but C is not lightest. The weight of D is 140 kg. The weight of E is obtained from removing weight of C from weight of A. Who is the fifth heaviest person?

A

E

B

D

C

G

D

A

The loss of head due to viscosity for laminar flow in pipes is (where d = Diameter of pipe, l = Length of pipe, v = Velocity of the liquid in the pipe, μ = Viscosity of the liquid, and w = Specific weight of the flowing liquid)

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