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 ?
A
0
B
1
C
2
D
3
Sudo GATE 2020 Mock II (10 January 2019)    
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Question 1 Explanation: 
14 x 14 x 14 = 2744.

15 x 15 x 15 = 3375. 
Find the difference. We get 3. Option (D) is correct.
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 alchohol and Smith, who is 20 years old, haven't decided yet. Choose the correct option to make sure rules are being followed :
A
Check Bruce's age
B
Check Bruce's and Smith's drink
C
Check Bruce and Barry's age and Smith's drink
D
Check Peter and Smith's drink
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Question 2 Explanation: 
Bruce is co-teamlead, whose age is not given. So his drink must be checked. John is having banana smoothie, so no need of checking. Barry is drinking alcohol, so his age must be checked. Same way, Smith's drink should be checked. So, option (C) is correct.
Question 3
Which of the following option is Grammatically correct ?
A
Many scientists are still hoping to have found life on another planet.
B
Many scientists are still hoping to find life on another planet.
C
Many scientists are still hoping to have been found life on another planet.
D
Many scientists are still hoping too have found life on another planet.
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Question 3 Explanation: 
“Hoping,” like “planning”/”dreaming”/”expecting,” etc., is future-oriented and in the present participle (“-ing”), requires the infinitive in modifying verbs, i.e. “hoping to find.” Scientists cannot hope “to have found” [(A)] something already that they are “still hoping” to find. “too” [(D)] is the adverb meaning “also,” not the preposition “to.” “To have been found” errs doubly, using both present-perfect tense and passive voice incorrectly here. Only option (B) is correct.
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 ?
A
2/3 is the probability that a 0 is received.
B
0.9 is the probability that a 0 was transmitted given that a 0 was received.
C
Both (A) and (B)
D
None of these
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Question 4 Explanation: 
Find the probability that a 0 is received. A received zero is either a correct zero or an incorrect 1, so by the Sum Rule the probability is
(1/3)(0.2) + (2/3)(0.9) = 2/3 
Find the probability that a 0 was transmitted given that a 0 was received. By Bayes’ Theorem the probability is,,
(2/3)(0.9)/(2/3) = 0.9 
So, option (C) is correct.
Question 5
Thanks for making such an interesting __________ .
A
speaking
B
speak
C
spoke
D
speech
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Question 5 Explanation: 
"speech" is appropriate here. Option (D) is correct.
Question 6
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 alchohol and Smith, who is 20 years old, haven't decided yet. Choose the correct option to make sure rules are being followed :
A
Check Bruce's and Smith's drink
B
Check Bruce's age
C
Check Peter and Smith's drink
D
Check Bruce and Barry's age and Smith's drink
Sudo GATE 2020 Mock II (10 January 2019)    
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Question 6 Explanation: 
Bruce is co-teamlead, whose age is not given. So his drink must be checked. John is having banana smoothie, so no need of checking. Barry is drinking alcohol, so his age must be checked. Same way, Smith's drink should be checked. So, option (D) is correct.
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 ?
A
‘Unconcerned’ is similar in meaning to the word ‘anxious’ as used in the passage.
B
'Disorder' is similar in meaning to the word ‘chaos’ as used in the passage.
C
'Hardship' is opposite in meaning to the word ‘ease’ as used in the passage.
D
‘Shift’ is opposite in meaning to the word ‘transition’as used in the passage.
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Question 7 Explanation: 
(A) ‘Unconcerned’ is opposite in meaning to the word ‘anxious’ as used in the passage. (B) ‘Disorder’ word implies that due to the demonetization, citizens all over the country were facing issues with the currency exchange. (C) ‘Hardship’ is the right choice.  (D) ‘shift’ is the right choice. Only option (A) is false.
Question 8
Choose the correct expression for f(x) given in the graph.
A
f(x) = 2 - |x + 2|
B
f(x) = 2 + |x − 2|
C
f(x) = 2 - |x − 2|
D
f(x) = 2 + |x + 2|
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Question 8 Explanation: 
Verify using some random values. Option (B) f(x) = 2 + |x − 2| is correct option.
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 : Capture11 Abbreviations : U.P. = Uttar Pradesh, M.P. = Madhya Pradesh, A.P. = Andhra Pradesh, C.G. = ChhattisGarh. Capture12 Capture13
What is the ratio of production by conventional method in A.P. to that by scientific method in U.P.?
A
484/949
B
99/260
C
51/260
D
48/77
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Question 9 Explanation: 
The production by conventional method in A.P. = 50*0.22*0.22 = 2.420 lakh tonne The production by scientific method in U.P. = 50*0.13*0.73 = 4.74500 lakh tonne Hence, the required ratio = 2.420 / 4.74500 = 484/949 So, option (A) is correct.
Question 10
What is the number of solutions for the inequality- x_1 + x_2 + x_3 \leq 11 where x_1, x_2,x_3 are integers greater than 0 ?
A
78
B
182
C
364
D
440
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Question 10 Explanation: 
Refer- PnC
There are 65 questions to complete.
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