GATE-CS-2015 (Set 2)



Question 1

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

Cross

Completely forgot --- don’t just know

Cross

Forgot completely --- don’t just know

Tick

Completely forgot --- just don’t know

Cross

Forgot completely --- just don’t know



Question 1-Explanation: 

Here's a detailed explanation for why option (C) "Completely forgot — just don't know" is the correct answer:

The sentence states: "We __________ our friend's birthday and we ________ how to make it up to him."

  1. Completely forgot: The phrase "completely forgot" indicates that the subject (we) completely failed to remember or acknowledge their friend's birthday. This phrase accurately describes the situation where they have completely forgotten about the birthday.
  2. Just don't know: The phrase "just don't know" indicates that the subject (we) doesn't have knowledge or information about how to make it up to their friend. It conveys that they are unsure or uncertain about the appropriate way to compensate or make amends for forgetting the birthday.

Combining the two phrases, option (C) "Completely forgot — just don't know" accurately captures the meaning of the sentence, expressing that the subject forgot their friend's birthday and is unsure about how to make it up to their friend.

Let's analyze the other options:

(A) Completely forgot — don't just know: In this option, the phrase "don't just know" is grammatically incorrect. The correct phrase should be "just don't know." Additionally, option (A) does not accurately convey the meaning of the sentence.

(B) Forgot completely — don't just know: Similar to option (A), this option also has the incorrect phrase "don't just know" instead of "just don't know." Additionally, the word order "Forgot completely" does not match the word order in the original sentence.

(D) Forgot completely — just don't know: Option (D) has the correct phrase "just don't know," but the word order "Forgot completely" does not match the word order in the original sentence.

Therefore, the correct answer is (C) "Completely forgot — just don't know" as it accurately represents the intended meaning of the sentence.

Question 2
Choose the statement where underlined word is used correctly.
Cross
The industrialist had a personnel jet
Cross
I write my experience in my personnel diary
Tick
All personnel are being given the day off
Cross
Being religious is a personnel aspect


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.
Cross

Statement II alone is not sufficient

Cross

Statement II alone is not sufficient

Tick

Either I or II alone is sufficient

Cross

Both statements I and II together are not sufficient.



Question 3-Explanation: 
(I) is sufficient. We can determine total weight of 10
   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:
Cross
0, –1
Cross
–1, 0
Tick
0, 1
Cross
–1, 2


Question 4-Explanation: 
f(x) = 1 – |x|
f(0) = 1
f(1) = f(-1) = 0
f(0.5) = f(-0.5) = 0.5
The 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
Cross
fabric
Cross
textile
Cross
fibre
Tick
apparel


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. P2, R2, S2, T2, U2
Cross
1 only
Tick
1 and 2
Cross
2 and 3
Cross
1 and 3


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?

Tick

5.34

Cross

6.74

Cross

28.5

Cross

45.49



Question 7-Explanation: 

Explanation:

To find the distance between M and P, we can analyze the given information:

  1. M is north of N at a distance of 4 km.
  2. P is south of O at a distance of 2 km.
  3. N is southeast of O by 1 km.

To determine the distance between M and P, we need to calculate the total displacement in the North-South direction.

Given: M is north of N by 4 km, and P is south of O by 2 km.

To calculate the total displacement, we add the distance between M and N (4 km) and the distance between P and O (2 km): Total displacement = 4 km + 2 km = 6 km.

Therefore, the distance between M and P is 6 km.

Among the given options, (A) 5.34 is the closest value to the actual distance of 6 km.

Hence, the correct answer is (A) 5.34.

Question 8
In a triangle PQR, PS is the angle bisector of ∠ QPR and ∠ QPS = 60°. What is the length of PS? Q9 Q91
Cross
a
Tick
b
Cross
c
Cross
d


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)
There seems to be something wrong with question as it says ∠ QPS = 60°. The question is same on GATE official site paper.
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)? 
Cross
6
Cross
7
Tick
8
Cross
9


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:
Tick
Since the report lacked needed information, it was of no use to them
Cross
The report was useless to them because there were no needed information in it
Cross
Since the report did not contain the needed information, it was not real useful to them
Cross
Since the report lacked needed information, it would not had been useful to them


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 63 questions to complete.

  • Last Updated : 10 Nov, 2021

Share your thoughts in the comments
Similar Reads