## GATE-CS-2017 (Set 2)

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Question 1 |

A test has questions worth 100 marks totals. There are two types of questions, multiple choice questions are worth 3 marks each and essay questions are worth 11 marks each. How many multiple choice questions does the exam have?

12 | |

15 | |

18 | |

19 |

**GATE-CS-2017 (Set 2)**

**Discuss it**

Question 1 Explanation:

Let us consider all choices :

Choice A : 12 [Wrong]There is no integer x that satisfies below equation 12 * 3 + x * 11 = 100 x = 64/11 [Which is not an integer]Choice B : 15 [Right]15 * 3 + x * 11 = 100 x = 55/11 = 5Choice C : 18 [Wrong]There is no integer x that satisfies below equation 18 * 3 + x * 11 = 100 x = 46/11 [Which is not an integer]Choice C : 19 [Wrong]There is no integer x that satisfies below equation 19 * 3 + x * 11 = 100 x = 43/11 [Which is not an integer]

Question 2 |

There are 5 buildings called V, W, X, Y, Z in a row (not necessarily in order). V is to the West of W, Z is to the East of X and the West of V. W is to West of Y. Which building is in the middle?

V | |

W | |

X | |

Y |

**GATE-CS-2017 (Set 2)**

**Discuss it**

Question 2 Explanation:

V is to the West of W,

V WZ is to the East of X and the West of V.

X Z V WW is to West of Y.

X Z V W YTherefore, V is in middle. So

**option A is correct.**Question 3 |

Saturn is __________ to be seen on a clear night with the naked eye?

enough bright | |

bright enough | |

as enough bright | |

bright as enough |

**GATE-CS-2017 (Set 2)**

**Discuss it**

Question 3 Explanation:

With adjectives and adverbs,

With nouns,

In the given question, enough is used with bright which is an adjective, so enough will come after the adjective.

So

This explanation has been contributed by

**enough**comes after adjectives and adverbs.With nouns,

**enough**comes before noun.In the given question, enough is used with bright which is an adjective, so enough will come after the adjective.

So

*bright enough*is the correct option.This explanation has been contributed by

**Parul Sharma.**Question 4 |

There are 3 red socks, 5 green socks and 3 blue socks. You choose 2 socks. The probability that they are of the same color is

1/5 | |

7/30 | |

1/4 | |

4/15 |

**GATE-CS-2017 (Set 2)**

**Discuss it**

Question 4 Explanation:

Ways to collect both Red =^{3}C_{2}Ways to collect both Green =^{3}C_{2}Ways to collect both Blue =^{5}C_{2}Total Ways =^{10}C_{2}P(Socks of Same Colour) = (^{3}C_{2}+^{5}C_{2}+^{3}C_{2}) /^{10}C_{2}=4/15

**Therefore, Option D is correct**

Question 5 |

Chose the option with words that are not synonyms.

aversion, dislike | |

luminous, radiant | |

plunder, loot | |

yielding, resistant |

**GATE-CS-2017 (Set 2)**

**Discuss it**

Question 5 Explanation:

- Yield - produce or provide
- Resistance - the refusal to accept or comply with something. Rest are all synonyms. Hence, (D) is correct.

Question 6 |

The numbers of the roots of e

^{x}+ 0.5x^{2}-2 = 0 in the range [-5, 5] are0 | |

1 | |

2 | |

3 |

**GATE-CS-2017 (Set 2)**

**Discuss it**

Question 6 Explanation:

The given function is a continuous function in range [-5, 5].
The Intermediate Value Theorem states if a continuous function has values of opposite sign inside an interval, then it has a root in that interval.
The function changes sign twice in range [-5, 5].

- It becomes positive to negative in range [-5, 0] when e
^{x}+ 0.5x^{2}becomes less than 2. - It becomes positive to negative in range [0, 5] when e
^{x}+ 0.5x^{2}becomes more than 2.

Question 7 |

There are three boxes, one contains apples, another contains oranges and last one contains both apples and oranges. All three are known to be incorrectly labelled. You are permitted to open just one box and then pull out and inspect only one fruit. Which box would you open to determine the contents of all three boxes?

The box labelled apples | |

The box labelled both apples and oranges | |

The box labelled oranges | |

can't be determined |

**GATE-CS-2017 (Set 2)**

**Discuss it**

Question 7 Explanation:

In given question there are three boxes incorrectly labeled:

- Box 3 labeled as Apples and Oranges - Original Content can be Apple or Orangle (This box will have only one fruit, so whichever we pick would be the correct label). Let's say the picked item was Apple, therefore the box labeled Orange will have Apples and Oranges.)
- Box 2 - Oranges - This box will definitely not have orange (as its mislabeled) and it can not contain only apple (As it is in box 3) - So this will have Original Content- both oranges and Apples
- Box 1 - Apples - This is the leftover box and it can now have Original Content - Orange

**Therefore option B is correct**Question 8 |

X is 30 digit number starting with 4 followed 7. Then number X

^{3}will have90 digits | |

91 digits | |

92 digits | |

93 digits |

**GATE-CS-2017 (Set 2)**

**Discuss it**

Question 8 Explanation:

X = 4777....(till 30 digits) or X = 4.7777⋯ ∗ 10^{29}X^{29}= (4.777⋯∗10^{29})^{3 }= (4.777…)^{3 }∗ 10^{87}So, (X^{3 })^{3 }requires 3 + 87 = 90 digits.

**Therefore, option A**

Question 9 |

"We lived in culture and denied any merit to literally works, Considering them important only when they were handmaidens to something seemingly more urgent - namely ideology. This was a country where all gestures even the most private , interpreted as political terms."
The author's believes that ideology is not as important as literature is revealed by the word :

culture | |

seemingly | |

urgent | |

political |

**GATE-CS-2017 (Set 2)**

**Discuss it**

Question 10 |

An air pressure contour line join the locations in the region having the same atmospheric pressure. The following is the air pressure contour of a geographical region. The contour line are shown as 0.05 bar intervals in this plot.
If the probability of thunderstorm is given by how fast air pressure rises or drops over a region. Which of the following region is most likely to have thunderstorm.

P | |

Q | |

R | |

S |

**GATE-CS-2017 (Set 2)**

**Discuss it**

Question 10 Explanation:

Region R has maximum air pressure variation as it which has maximum number of lines crossing the area

We have to see for the region which has maximum change in air pressure for thunderstorm.

Thus the probability of thunderstorm is maximum in region R. This solution is contributed by

**. Therefore option C is correct****Alternate Solution**We have to see for the region which has maximum change in air pressure for thunderstorm.

**In region P**– the air pressure changes only once by 0.05 as only 2 lines are crossing the region. The first line with the air pressure 0.95 and the next one is with pressure 0.9.**In region Q**– No line crosses the region which implies that the air pressure doesn’t change.**In region R**– the air pressure changes at 4 places resulting in maximum change in air pressure in the whole region. The minimum pressure in R is 0.65 and the maximum is 0.8.**In region S**– the air pressure in the region in 0.95 and other contouring line is outside the region thus no change in air pressure within the region.Thus the probability of thunderstorm is maximum in region R. This solution is contributed by

**Parul Sharma.**
There are 65 questions to complete.