GATE CSE 2021 Paper 2 — page 12

Questions 34–36 of 65. Imported answers require review unless explicitly marked reviewed.

Suppose that

is a

matrix such that every solution of the equation

is a scalar multiple of

. The rank of

is ________.

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Suppose that

is a continuous function on the interval

and a differentiable function in the interval

such that for every

in the interval,

. If

, then

is at most ________.

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Consider the string abccdeee. Each letter in the string must be assigned a binary code satisfying the following properties:

For any two letters, the code assigned to one letter must not be a prefix of the code assigned to the other letter.

For any two letters of the same frequency, the letter which occurs earlier in the dictionary order is assigned a code whose length is at most the length of the code assigned to the other letter. Among the set of all binary code assignments which satisfy the above two properties, what is the minimum length of the encoded string?

Your answerChoose one option.

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2021 · Paper 2

Question 24

Question 25

Question 26