GATE-CS-2015 (Set 2)
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
Question 1 Explanation:
We Completely forgot our friend’s birthday and we just don’t know how to make it up to him.
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
Question 2 Explanation:
personnel mean a body of persons employed in an organization or place of work.
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.
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
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:
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.
A generic term that includes various items of clothing such as a skirt, a pair of trousers and a shirt is
Question 5 Explanation:
apparel means clothing.
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
1 and 2
2 and 3
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.
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?
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)
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)?
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
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
Question 10 Explanation:
There are 65 questions to complete.