GATE CS 2006 — Question 28
For each element in a set of size \(2n\), an unbiased coin is tossed. The \(2n\) coin tosses are independent. An element is chosen if the corresponding coin…
GATE exam stream
35 questions and papers
GATE DA (Data Science and Artificial Intelligence) began in 2024. Alongside its own papers, this stream lists the CS questions on the probability, statistics, linear algebra, machine learning, databases and programming topics in the DA syllabus.
For each element in a set of size \(2n\), an unbiased coin is tossed. The \(2n\) coin tosses are independent. An element is chosen if the corresponding coin…
Aishwarya studies either computer science or mathematics every day. If she studies computer science on a day, then the probability that she studies mathematics the next day is…
An examination paper has 150 multiple-choice questions of one mark each, with each question having four choices. Each incorrect answer fetches \(-0.25\) marks. Suppose 1000 students choose all…
In a triangle \(PQR\), \(PS\) is the angle bisector of \(\angle QPR\) and \(\angle QPS = 60^\circ\), where \(S\) lies on \(QR\). If \(PQ = r\) and \(PR = q\), what is the length of \(PS\)?
Two and a quarter hours back, when seen in a mirror, the reflection of a wall clock without number markings seemed to show 1:30. What is the actual…
A jar contains a mixture of 175 ml water and 700 ml alcohol. Gopal takes out 10% of the mixture and substitutes it by water of the same…
A train that is 280 metres long, travelling at a uniform speed, crosses a platform in 60 seconds and passes a man standing on the platform in 20…
A cube is built using 64 cubic blocks of side one unit. After it is built, one cubic block is removed from every corner of the cube. The…
If \(\log(P) = \frac{1}{2}\log(Q) = \frac{1}{3}\log(R)\), then which one of the following options is TRUE?
The current population of a city is 11,02,500. If it has been increasing at the rate of 5% per annum, what was its population 2 years ago?
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