Sets — MATHS STD 11 Science — Question

One card is drawn from a well shuffled deck of 52 cards. If each outcome is equally likely, calculate the probability that the card will be 'a diamond'

Sum of all two digit numbers which when divided by 4 yield unity as remainder is:

1. 1200
2. 1210
3. 1250
4. None of these.

Rewrite the following statements in the form "p if and only if q".
s: If a tumbler is half empty, then it is half full and if a tumbler is half full, then it is half empty.

Are the following pairs of sets equal? Give reasons.
A = {x : x is a letter of the word " WOLF"};
B = {x : x is a letter of the word " FOLLOW"}.

Find the number of arrangements of the letters of the word INDEPENDENCE. In how many of these arrangements, do the words start with P.

Find out the following sentences are statements and which are not. Justify your answer.
The cat pussy is black.

Find out the following sentences are statements and which are not. Justify your answer.
Mathematics is difficult.