GATE 1991
How many 3-digit numbers can be formed from digits {1, 2, 3, 4} if repetition of digits is allowed?
What is the value of the limit lim (x -> 0) [(1 - cos x) / x^2]?
What is the rank of the 2 × 2 matrix A = \[\begin{bmatrix}1 & 2\\2 & 4\end{bmatrix}\]?
A graph has 10 vertices and 15 edges. What is the sum of the degrees of all vertices?
Two fair coins are tossed independently. What is the probability of getting at least one Head?
An urn contains one red ball and one blue ball. At each step, a ball is picked uniformly at random from the urn, and this ball tog…
Consider 4 x 4 matrices with their elements from {0, 1}. The number of such matrices with even number of 1s in every row and every…
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