Mechanical Engineering Gate 2013 Set-3 Questions with Answer

Ques 14 GATE 2013 SET-3

Water is coming out from a tap and falls vertically downwards. At the tap opening, the stream diameter is 20 mm with uniform velocity of 2 m/s. Acceleration due to gravity is 9.81 m/s². Assuming steady, inviscid flow, constant atmospheric pressure everywhere and neglecting curvature and surface tension effects, the diameter in mm of the stream 0.5 m below the tap is approximately

Ques 15 GATE 2013 SET-3

A hinged gate of length 5 m, inclined at 30° with the horizontal and with water mass on its left, is shown in the figure. Density of water is 1000 kg/m³. The minimum mass of the gate in kg per unit width (perpendicular to the plane of paper), required to keep it closed is

Ques 16 GATE 2013 SET-3

For steady, fully developed flow inside a straight pipe of diameter D, neglecting gravity effects, the pressure drop Δp over a length L and the wall shear stress τ_w are related by

Ques 17 GATE 2013 SET-3

Choose the grammatically INCORRECT sentence:

Ques 18 GATE 2013 SET-3

What will be the maximum sum of 44, 42, 40, …?

Ques 19 GATE 2013 SET-3

Were you a bird, you ________ in the sky.

Ques 20 GATE 2013 SET-3

Which one of the following options is the closest in meaning to the word given below?
Nadir

Ques 21 GATE 2013 SET-3

Complete the sentence: Universalism is to particularism as diffuseness is to

Ques 22 GATE 2013 SET-3

The current erection cost of a structure is Rs. 13,200. If the labour wages per day increase by 1/5 of the current wages and the working hours decrease by 1/24 of the current period, then the new cost of erection in Rs. is

Ques 23 GATE 2013 SET-3

After several defeats in wars, Robert Bruce went in exile and wanted to commit suicide. Just before committing suicide, he came across a spider attempting tirelessly to have its net. Time and again, the spider failed but that did not deter it to refrain from making attempts. Such attempts by the spider made Bruce curious. Thus, Bruce started observing the near-impossible goal of the spider to have the net. Ultimately, the spider succeeded in having its net despite several failures. Such act of the spider encouraged Bruce not to commit suicide. And then, Bruce went back again and won many a battle, and the rest is history.

Which of the following assertions is best supported by the above information?

Ques 24 GATE 2013 SET-3

A tourist covers half of his journey by train at 60 km/h, half of the remainder by bus at 30 km/h and the rest by cycle at 10 km/h. The average speed of the tourist in km/h during his entire journey is

Ques 25 GATE 2013 SET-3

Find the sum of the expression
1/(√1+√2) + 1/(√2+√3) + 1/(√3+√4) + ... + 1/(√80+√81)

Ques 26 GATE 2013 SET-3

Out of all the 2-digit integers between 1 and 100, a 2-digit number has to be selected at random. What is the probability that the selected number is not divisible by 7?