GATE ME 2024 Paper 1 — page 13

Questions 37–39 of 65. Imported answers require review unless explicitly marked reviewed.

In the pipe network shown in the figure, all pipes have the same cross-section and can be assumed to have the same friction factor. The pipes connecting points

, and

with point

have an equal length

. The pipe connecting points

and

has a length

. The pressures at the ends

, and

are equal. The flow rate in the pipe connecting

and

. Assume that the fluid flow is steady, incompressible, and the pressure losses at the pipe entrance and junction are negligible. Consider the following statements:

I: The flow rate in pipe connecting

and

II: The pressure difference between

and

is equal to the pressure difference between

and

Which one of the following options is CORRECT?

Diagram for Mechanical Engineering question 37

Your answerChoose one option.

I is True and II is False

I is False and II is True

Both I and II are True

Both I and II are False

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A company orders gears in conditions identical to those considered in the economic order quantity (EOQ) model in inventory control. The annual demand is 800 gears, the cost per order is 300 rupees, and the holding cost is 12 rupees per month per gear. The company uses an order size that is 25% more than the optimal order quantity determined by the EOQ model. The percentage change in the total cost of ordering and holding inventory from that associated with the optimal order quantity is

Your answerChoose one option.

2.5

12.5

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At the current basic feasible solution (bfs)

(

), the simplex method yields the following form of a linear programming problem in standard form.

Here the objective function is written as a function of the non-basic variables. If the simplex method moves to the adjacent bfs

(

) that best improves the objective function, which of the following represents the objective function at

, assuming that the objective function is written in the same manner as above?

Your answerChoose one option.

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2024 · Paper 1

Question 37

Question 38

Question 39