Mechanical Engineering Gate 2013 Set-2 Questions with Answer

Ques 14 GATE 2013 SET-2

Were you a bird, you ________ in the sky.

Ques 15 GATE 2013 SET-2

Choose the grammatically INCORRECT sentence:

Ques 16 GATE 2013 SET-2

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

Ques 17 GATE 2013 SET-2

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?

Ques 18 GATE 2013 SET-2

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 19 GATE 2013 SET-2

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 20 GATE 2013 SET-2

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 21 GATE 2013 SET-2

A planar closed kinematic chain is formed with rigid links PQ = 2.0 m, QR = 3.0 m, RS = 2.5 m and SP = 2.7 m with all revolute joints. The link to be fixed to obtain a double rocker (rocker-rocker) mechanism is

Ques 22 GATE 2013 SET-2

If two nodes are observed at a frequency of 1800 rpm during whirling of a simply supported long slender rotating shaft, the first critical speed of the shaft in rpm is

Ques 23 GATE 2013 SET-2

A long thin walled cylindrical shell, closed at both the ends, is subjected to an internal pressure. The ratio of the hoop stress (circumferential stress) to longitudinal stress developed in the shell is

Ques 24 GATE 2013 SET-2

A cylinder contains 5 m³ of an ideal gas at a pressure of 1 bar. This gas is compressed in a reversible isothermal process till its pressure increases to 5 bar. The work in kJ required for this process is

Ques 25 GATE 2013 SET-2

Consider one-dimensional steady state heat conduction along x-axis (0 ≤ x ≤ L), through a plane wall with the boundary surfaces (x=0 and x=L) maintained at temperatures of 0°C and 100°C. Heat is generated uniformly throughout the wall. Choose the CORRECT statement.

Ques 26 GATE 2013 SET-2

In order to have maximum power from a Pelton turbine, the bucket speed must be