Aptitude Mechanical previous year questions with answer


Ques 81 Gate 2018 Set-2


A contract is to be completed in 52 days and 125 identical robots were employed, each operational for 7 hours a day. After 39 days, five-seventh of the work was completed. How many additional robots would be required to complete the work on time, if each robot is now operational for 8 hours a day?

A

50

B

89

C

146

D

7



Ques 82 Gate 2018 Set-2


A house has a number which needs to be identified. The following three statements are given that can help in identifying the house number.
i. If the house number is a multiple of 3, then it is a number from 50 to 59.
ii. If the house number is NOT a multiple of 4, then it is a number from 60 to 69.
iii. If the house number is NOT a multiple of 6, then it is a number from 70 to 79.
What is the house number?

A

54

B

65

C

66

D

76



Ques 83 Gate 2018 Set-2


An unbiased coin is tossed six times in a row and four different such trials are conducted. One trial implies six tosses of the coin. If H stands for head and T stands for tail, the following are the observations from the four trials:
(1) HTHTHT (2) TTHHHT (3) HTTHHT (4) HHHT__ __.
Which statement describing the last two coin tosses of the fourth trial has the highest probability of being correct?

A

Two T will occur.

B

One H and one T will occur.

C

Two H will occur.

D

One H will be followed by one T



Ques 84 Gate 2018 Set-1


β€œGoing by the _________ that many hands make light work, the school _______ involved all the students in the task.”
The words that best fill the blanks in the above sentence are

A

principle, principal

B

principal, principle

C

principle, principle

D

principal, principal



Ques 85 Gate 2018 Set-1


β€œHer _______ should not be confused with miserliness; she is ever willing to assist those in need.”
The word that best fills the blank in the above sentence is

A

cleanliness

B

punctuality

C

frugality

D

greatness



Ques 86 Gate 2018 Set-1


Seven machines take 7 minutes to make 7 identical toys. At the same rate, how many minutes would it take for 100 machines to make 100 toys?

A

1

B

7

C

100

D

700



Ques 87 Gate 2018 Set-1


A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m, respectively. During this process, the rectangle loses 650 m2 of area. What is the area of the original rectangle in square meters?

A

1125

B

2250

C

2924

D

4500



Ques 88 Gate 2018 Set-1


A number consists of two digits. The sum of the digits is 9. If 45 is subtracted from the number, its digits are interchanged. What is the number?

A

63

B

72

C

81

D

90



Ques 89 Gate 2018 Set-1


For integers π‘Ž, 𝑏 and 𝑐, what would be the minimum and maximum values respectively of π‘Ž + 𝑏 + 𝑐 if log |π‘Ž| + log |𝑏| + log |𝑐| = 0?

A

-3 and 3

B

-1 and 1

C

-1 and 3

D

1 and 3



Ques 90 Gate 2018 Set-1


Given that π‘Ž and 𝑏 are integers and π‘Ž + π‘Ž2 𝑏3 is odd, which one of the following statements is correct?

A

π‘Ž and 𝑏 are both odd

B

π‘Ž and 𝑏 are both even

C

π‘Ž is even and 𝑏 is odd

D

π‘Ž is odd and 𝑏 is even