Sudo GATE 2020 Mock III (24 January 2019)

Question 1

There are 6 identical toys be placed in 3 identical boxes such that no box is empty. Total number of possible ways is _______ .

• 3

• 1

• 28

• None of these.

Question 2

The value of f∘g∘h(9) could be, if

f(x) = 1 /x
g(x) = 1 /(x−2)
h(x) = √x 

• 3
• 1/3
• -5
• None of these.

Question 3

The Union Budget is likely to be presented on February 01, two days ahead of the ___________ date.

• critical
• conventional
• suitable
• convenient

Question 4

Consider a three digit number abc. Then the probability such that a > b > c is __________ .

• 720 / 900
• 180 / 900
• 120 / 900
• 150 / 900

Question 5

Chose the option with words that are not synonyms.

• advocate, support
• ability, skill
• busy, active
• aversion, desire

Question 6

If (|x| - 3) (|y| + 4) = 12. Then number of pairs of integers (x, y) satisfy this equation ?

• 4
• 10
• 6
• 8

Question 7

A newspaper made of 16 large sheets of paper folded in half. The newspaper has 64 pages altogether. The first sheet contains pages 1, 2, 63, 64. If we pick up a sheet containing page number 45. What is/are the other page(s) that this sheet contains ?

• 18
• 21
• 46
• None of these.

Question 8

A 4-digit number of the form aabb is a perfect square. What is the value of a - b ?

• 3
• 2
• 1
• 4

Question 9

India’s baffling array of state and national labor laws date to the 1940s: one provides for the type and number of spittoons in a factory. Another says an enterprise with more than 100 workers needs government permission to scale back or close. Many Indian businesses stay small in order to remain beyond the reach of the laws. Big firms use temporary workers to avoid them. Less than 15% of Indian workers have legal job security. The new government can sidestep the difficult politics of curbing privileges by establishing a new, simpler labor contract that gives basic protection to workers but makes lay-offs less costly to firms. It would apply only to new hires; the small proportion of existing workers with gold-star protections would keep them. Which of the following options best summarizes the main idea of the paragraph ?

• More Indian workers can get permanent jobs and legal job security if existing labor laws are reformed.
• Effective labor law reform can encourage many Indian businesses to grow to more than 100 workers.
• Outdated Indian labor laws need to be simplified to provide basic protection to workers and curb privileges.
• The difficult politics of curbing privileges can be avoided if the changes in the labor law only apply to the new hires.

Question 10

Total revenues are Rs. 1800 crores. Overall profit margin is 10%. The division with the largest revenue has the least profit margin but not the least profits. The division with the profit margin higher than all others generates the least profit. Exactly one division has the same profit margin as the overall Company. Company D generates more profits than Company E. How much profit did Company A make ?

• Rs. 50 crores
• Rs. 25 crores
• Rs. 30 crores
• Rs. 60 crores