# GATE-CS-2015 (Set 2)

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Question 1 |

We __________ our friend’s birthday and we ________ how to make it up to him.

Completely forgot --- don’t just know | |

Forgot completely --- don’t just know | |

Completely forgot --- just don’t know | |

Forgot completely --- just don’t know |

**English**

**GATE-CS-2015 (Set 2)**

**Discuss it**

Question 1 Explanation:

We

__Completely forgot__our friend’s birthday and we__just don’t know__how to make it up to him.Question 2 |

Choose the statement where underlined word is used correctly.

The industrialist had a personnel jet | |

I write my experience in my personnel diary | |

All personnel are being given the day off | |

Being religious is a personnel aspect |

**English**

**GATE-CS-2015 (Set 2)**

**Discuss it**

Question 2 Explanation:

personnel mean a body of persons employed in an organization or place of work.

Question 3 |

Based on the given statements, select the most appropriate option to solve the given question.
What will be the total weight of 10 poles each of same weight?

Statements:(I) One fourth of the weight of a pole is 5 kg (II) The total weight of these poles is 160 kg more than the total weight of two poles.

Statement II alone is not sufficient | |

Statement II alone is not sufficient | |

Either I or II alone is sufficient | |

Both statements I and II together are not sufficient. |

**General Aptitude**

**GATE-CS-2015 (Set 2)**

**Discuss it**

Question 3 Explanation:

(I) is sufficient. We can determine total weight of 1o poles as 10 * 4 * 5 = 200 Kg (II) is also sufficient, we can determine the weight. Let x be the weight of 1 pole. 10*x - 2*x = 160 Kg x = 20 Kg 10x = 200 Kg

Question 4 |

Consider a function f(x) = 1 – |x| on –1 ≤ x ≤ 1. The value of x at which the function attains a maximum and the maximum value of the function are:

0, –1 | |

–1, 0 | |

0, 1 | |

–1, 2 |

**Numerical Methods and Calculus**

**GATE-CS-2015 (Set 2)**

**Discuss it**

Question 4 Explanation:

f(x) = 1 – |x| f(0) = 1 f(1) = f(-1) = 0 f(0.5) = f(-0.5) = 0.5The maximum is attained at x = 0, and the maximum value is 1.

Question 5 |

A generic term that includes various items of clothing such as a skirt, a pair of trousers and a shirt is

fabric | |

textile | |

fibre | |

apparel |

**English**

**GATE-CS-2015 (Set 2)**

**Discuss it**

Question 5 Explanation:

apparel means clothing.

Question 6 |

If the list of letters, P, R, S, T, U is an arithmetic sequence, which of the following are also in arithmetic sequence?
1. 2P, 2R, 2S, 2T, 2U
2. P–3, R–3, S–3, T–3, U–3
3. P

^{2}, R^{2}, S^{2}, T^{2}, U^{2}1 only | |

1 and 2 | |

2 and 3 | |

1 and 3 |

**General Aptitude**

**GATE-CS-2015 (Set 2)**

**Discuss it**

Question 6 Explanation:

1 is AP with common difference as double of that of original series.
2 is AP with common difference as same as original series.

Question 7 |

Four branches of a company are located at M, N, O and P. M is north of N at a distance of 4 km; P is south of O at a distance of 2 km; N is southeast of O by 1 km. What is the distance between M and P in km?

5.34 | |

6.74 | |

28.5 | |

45.49 |

**General Aptitude**

**GATE-CS-2015 (Set 2)**

**Discuss it**

Question 7 Explanation:

Question 8 |

a | |

b | |

c | |

d |

**General Aptitude**

**GATE-CS-2015 (Set 2)**

**Discuss it**

Question 8 Explanation:

Area of a Δ = 1/2 * ac sinB = 1/2 * bc sinA = 1/2 ab sinC Here area (ΔPQR) = area (ΔPQS) + area (ΔPRS) 1/2 rq sin120 = 1/2 PS * r sin60 + 1/2 PS * q sin60 => PS = rq/(r+q)

Question 9 |

If p, q, r, s are distinct integers such that: f(p, q, r, s) = max (p, q, r, s) g(p, q, r, s) = min (p, q, r, s) h(p, q, r, s) = remainder of (p × q) / (r × s) if (p × q) > (r × s) OR remainder of (r × s) / (p × q) if (r × s) > (p × q) Also a function fgh (p, q, r, s) = f(p, q, r, s) × g(p, q, r, s) × h(p, q, r, s). Also the same operation are valid with two variable functions of the form f(p, q). What is the value of fg(h(2, 5, 7, 3), 4, 6, 8)?

6 | |

7 | |

8 | |

9 |

**General Aptitude**

**GATE-CS-2015 (Set 2)**

**Discuss it**

Question 9 Explanation:

The question asks value of fg (h(2, 5, 7, 3), 4, 6, 8) We need to first find value of h(2, 5, 7, 3) h is defined as h(p, q, r, s) = remainder of (p × q) / (r × s) if (p × q) > (r × s) remainder of (r × s) / (r × q) if (r × s) > (p × q) h(2, 5, 7, 3) = remainder of (7 * 3) / (2 * 5) since 7*3 > 2*5 = 1 fg(1, 4, 6, 8) = f(1, 4, 6, 8) * g(1, 4, 6, 8) = max(1, 4, 6, 8) * min(1, 4, 6, 8) = 8 * 1 = 8

Question 10 |

Out of the following four sentences, select the most suitable sentence with respect to grammar and usage:

Since the report lacked needed information, it was of no use to them | |

The report was useless to them because there were no needed information in it | |

Since the report did not contain the needed information, it was not real useful to them | |

Since the report lacked needed information, it would not had been useful to them |

**English**

**GATE-CS-2015 (Set 2)**

**Discuss it**

Question 10 Explanation:

Only option (A) seems correct.
In option (B) -

**were**is wrong used here. In option (C) -**real**is wrong, should be really In option (D) -**had**is wrong.*would not have been*is correct.
There are 64 questions to complete.