Discrete Mathematics - Counting, Mathematical Induction and Discrete Probability

Avatto > > UGC NET COMPUTER SCIENCE > > PRACTICE QUESTIONS > > Discrete Mathematics > > Counting, Mathematical Induction and Discrete Probability

11. A box contains 12 socks of white color and 12 socks of black color, all unmatched. A man takes socks out at random in dark. How many minimum socks must he take out to be sure that he has at least two socks of the same color?

Answer
Comment
Array

Option : A
Explanation :

You must be logged in to post a comment.

You must be logged in to post a comment.

12. Let P(n) be a statement, where n ∈ N, natural numbers. P(1) is true and P(k) ⇒ P(k + 1), for some natural number k. Then P(n) is true for all n.

Answer
Comment
Array

Option : B
Explanation :

You must be logged in to post a comment.

You must be logged in to post a comment.

13. What is the least value of k such that there must be a pair of numbers from {1, 2, 3, ..., k}, with a sum equal to 9?

Answer
Comment
Array

Option : A
Explanation :

You must be logged in to post a comment.

You must be logged in to post a comment.

14. Let P(n) : n³ − n is divisible by 4, for all n ∈ N . P (n) is false, because

Answer
Comment
Array

Option : B
Explanation :

You must be logged in to post a comment.

You must be logged in to post a comment.

15. How many times must we roll a die in order to get the same score?

Answer
Comment
Array

Option : D
Explanation :

You must be logged in to post a comment.

You must be logged in to post a comment.

Related Quiz.
Counting, Mathematical Induction and Discrete Probability

Forgot your password?

I agree with the Terms.