Mechanical Engineering GATE 2021 Set-1 Questions with Answer

Ques 1 Aptitude

Consider the following sentences :
i ) After his surgery , Raja hardly could walk .
ii ) After his surgery , Raja could barely walk .
iii ) After his surgery , Raja barely could walk .
iv ) After his surgery , Raja could hardly walk .
Which of the above sentences are grammatically CORRECT ?

Ques 2 Aptitude

MS. X came out of a building through its front door to find her shadow due to the morning sun falling to her right side with the building to her back. Which direction is the building facing __________

Ques 3 Aptitude

“The increased consumption of leafy vegetables in the recent months is a clear indication that the people in the state have begun to lead a healthy lifestyle”. Which of the following can be logically inferred from the information presented in the above statement?

Ques 4 Aptitude

Five persons P, Q, R, S and T are sitting in a row not necessarily in the same order. Q and R are separated by one person, and S should not be seated adjacent to Q.
The number of distinct seating arrangements possible is:

Ques 5 Aptitude

Oxpeckers and rhinos manifest a symbiotic relationship in the wild. The oxpeckers warn the rhinos about approaching poachers, thus possibly saving the lives of the rhinos. Oxpeckers also feed on the parasitic ticks found on rhinos.
In the symbiotic relationship described above, the primary benefits for oxpeckers and rhinos respectively are.

Ques 6 Aptitude

The number of hens, ducks and goats in farm P are 65, 91 and 169, respectively. The total number of hens, ducks and goats in a nearby farm Q is 416. The ratio of hens:ducks:goats in farm Q is 5:14:13. All the hens, ducks and goats are sent from farm Q to farm P.
The new ratio of hens:ducks:goats in farm P is ________

Ques 7 Industrial Engineering

Robot Ltd. wishes to maintain enough safety stock during the lead time period between starting a new production run and its completion such that the probability of satisfying the customer demand during the lead time period is 95%. The lead time period is 5 days and daily customer demand can be assumed to follow the Gaussian (normal) distribution with mean 50 units and a standard deviation of 10 units. Using Ф^-1(0.95) =1.64 , where Ф represents the cumulative distribution function of the standard normal random variable, the amount of safety stock that must be maintained by Robot Ltd. to achieve this demand fulfillment probability for the lead time period is units (round off to two decimal places).

Ques 8 Industrial Engineering

Robot Ltd. wishes to maintain enough safety stock during the lead time period between starting a new production run and its completion such that the probability of satisfying the customer demand during the lead time period is 95%. The lead time period is 5 days and daily customer demand can be assumed to follow the Gaussian (normal) distribution with mean 50 units and a standard deviation of 10 units. Using Ф^-1(0.95) =1.64 , where Ф represents the cumulative distribution function of the standard normal random variable, the amount of safety stock that must be maintained by Robot Ltd. to achieve this demand fulfillment probability for the lead time period is units (round off to two decimal places).

Ques 9 Thermodynamics

In the vicinity of the triple point, the equation of liquid-vapour boundary in the P – T phase diagram for ammonia is ln P= 24.38 - 3063/ T , where P is pressure (in Pa) and T is temperature (in K). Similarly, the solid-vapour boundary is given by ln P=27.92-3754 / T . The temperature at the triple point is _______K (round off to one decimal place).