Recent activity by ketandalvi / GATE Overflow for GATE CSE

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GATE Overflow Test Series | Mock GATE | Test 6 | Question: 18
Consider the following language definition: $\small L = \{\langle M \rangle \mid M $ is a Deterministic Finite Automation and $L(M)$ contains a non-recursively enumerable subset$\}$ $L$ is Recursively enumerable but not recursive Recursive Regular Context-free

Consider the following language definition:$\small L = \{\langle M \rangle \mid M $ is a Deterministic Finite Automation and $L(M)$ contains a non-recursively enumerable ...

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commented Feb 3, 2022

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GATE Overflow Test Series | Linear Algebra | Test 1 | Question: 10
Which of the following is/are correct? (Mark all the appropriate choices) The determinant of a skew-symmetric matrix over real numbers is non-negative. When the identity matrix is added to a real skew-symmetric matrix, the resultant matrix is invertible. ... a zero matrix. For two matrices $A$ and $B,$ if $AB = 0,$ then $BA = 0.$

Which of the following is/are correct? (Mark all the appropriate choices)The determinant of a skew-symmetric matrix over real numbers is non-negative.When the identity ma...

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commented Jan 31, 2021

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GATE Overflow Test Series | Probability | Test 1 | Question: 11
Assume that there are at least $k$ different people in the room. If the probability that there are two who share a birthday is greater than $10\%$ then which of the following is the least possible value of $k$. (Assume no one is born in a leap year) $23$ $12$ $18$ $10$

Assume that there are at least $k$ different people in the room. If the probability that there are two who share a birthday is greater than $10\%$ then which of the follo...

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answered Jan 7, 2021

1 answer

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GATE Overflow Test Series | Discrete Mathematics | Test 3 | Question: 13
The following is the Hasse diagram of the poset $\left[\{1,2,3,4,6,7,12,14,21,28,42,84\},\:\mid\right],$ where $\mid $ is the "divides" relation. If the number of complements of $1,3$ and $4$ are $\alpha,\beta$ and $\gamma$ respectively, then the value of $2\alpha + 3 \beta + 4\gamma $ is ________

The following is the Hasse diagram of the poset $\left[\{1,2,3,4,6,7,12,14,21,28,42,84\},\:\mid\right],$ where $\mid $ is the "divides" relation.If the number of compleme...

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commented Jan 5, 2021

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GATE Overflow Test Series | Discrete Mathematics | Test 2 | Question: 26
In a college $10$ Servers are bought and they are to be distributed among $4$ laboratories such that each laboratory gets at least one server. The total number of ways in which this can be done is $\_\_\_$

In a college $10$ Servers are bought and they are to be distributed among $4$ laboratories such that each laboratory gets at least one server. The total number of ways in...

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commented Oct 18, 2020

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GATE Overflow Test Series | Discrete Mathematics | Test 2 | Question: 22
The number of ways in which we can choose $3$ numbers from the set $\{1, 2, 3, 4, 5, 6, 7, 8,9\}$ so that more odd numbers are chosen than even is $\_\_\_\_\_$

The number of ways in which we can choose $3$ numbers from the set $\{1, 2, 3, 4, 5, 6, 7, 8,9\}$ so that more odd numbers are chosen than even is $\_\_\_\_\_$

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commented Oct 18, 2020

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