Sudo GATE 2020 Mock II (10 January 2019)

Question 1

What is the smallest positive integer x, that to be subtracted from 2747 to get a perfect cube ?

• 0
• 1
• 2
• 3

Question 2

Five colleague of different age group headed to the bar for celebrating birthday party. Few of them decided to order alcohol. The government rule clearly sates that one must be atleast 25 years old inorder to drink alcohol. Peter is the head of team and eldest member with age 40 and Bruce is co-teamlead. John is drinking banana smoothie. Barry is drinking alcohol and Smith, who is 20 years old, haven\'t decided yet. Choose the correct option to make sure rules are being followed :

• Check Bruce\'s age

• Check Bruce\'s and Smith\'s drink

• Check Bruce and Barry\'s age and Smith\'s drink

• Check Peter and Smith\'s drink

Question 3

Which of the following option is Grammatically correct ?

• Many scientists are still hoping to have found life on another planet.
• Many scientists are still hoping to find life on another planet.
• Many scientists are still hoping to have been found life on another planet.
• Many scientists are still hoping too have found life on another planet.

Question 4

Probability of sending a 1 is 1/3, with probability of being received correctly 0.8. Probability of sending a zero is 2/3, with probability of being received correctly 0.9. Which of the following option is correct ?

• 2/3 is the probability that a 0 is received.
• 0.9 is the probability that a 0 was transmitted given that a 0 was received.
• Both (A) and (B)
• None of these

Question 5

Thanks for making such an interesting __________ .

• speaking
• speak
• spoke
• speech

Question 6

Five colleagues of different age groups headed to the bar for celebrating a birthday party. Few of them decided to order alcohol. The government rule clearly sates that one must be atleast 25 years old inorder to drink alcohol. Peter is the head of team and eldest member with age 40 and Bruce is co-teamlead. John is drinking banana smoothie. Barry is drinking alcohol and Smith, who is 20 years old, haven\'t decided yet. Choose the correct option to make sure rules are being followed :

• Check Bruce\'s and Smith\'s drink
  

• Check Bruce\'s age
  

• Check Peter and Smith\'s drink
  

• Check Bruce and Barry\'s age and Smith\'s drink
  

Question 7

The long, anxious, and frustrating wait by people outside banks and ATMs across the country over the last five days is an inevitable consequence of the decision to demonetize notes of Rs.500 and Rs.1,000. When 86 per cent of the value of notes in circulation turns suddenly invalid, as it did with Prime Minister Modi’s ‘surgical strike’ last week, a certain degree of disruption and pain is unavoidable. But the question is whether this chaos could have been anticipated and managed better than it has been. Replacement of the demonetized notes is a time-consuming exercise that requires planning of the highest order. The experience of the last few days shows that preparation was lacking and the transition could have been handled much better. Thankfully, the Centre has woken up to ease the pressure on the system by increasing withdrawal limits, allowing for petroleum outlets and hospitals to accept the old series of notes until November 24 and pushing more cash through post offices. Which of the following option is false ?

• ‘Unconcerned’ is similar in meaning to the word ‘anxious’ as used in the passage.
• \'Disorder\' is similar in meaning to the word ‘chaos’ as used in the passage.
• \'Hardship\' is opposite in meaning to the word ‘ease’ as used in the passage.
• ‘Shift’ is opposite in meaning to the word ‘transition’as used in the passage.

Question 8

Choose the correct expression for f(x) given in the graph.

• f(x) = 2 - |x + 2|
• f(x) = 2 + |x − 2|
• f(x) = 2 - |x − 2|
• f(x) = 2 + |x + 2|

Question 9

Study the given graphs to answer these questions. The total production of wheat is 50 lakh tonnes. Production of wheat in different states of India is given : Abbreviations : U.P. = Uttar Pradesh, M.P. = Madhya Pradesh, A.P. = Andhra Pradesh, C.G. = ChhattisGarh.
What is the ratio of production by conventional method in A.P. to that by scientific method in U.P.?

• 484/949
• 99/260
• 51/260
• 48/77

Question 10

What is the number of solutions for the inequality- [Tex]x_1 + x_2 + x_3 \\leq 11[/Tex] where [Tex]x_1, x_2,x_3[/Tex] are integers greater than 0 ?

• 78
• 182
• 364
• 440