In a survey of 600 students in a school, 150 students were found to be taking tea and 225 taking coffee, 100 were taking both tea and coffee. Find how many students were taking neither tea nor coffee?

If A = {1,2,3,4} B = {3,4,5,6}, C = {5,6,7,8} and D = {7,8,9,10}, then find B \(\cup\) D

If A = {1,2,3,4} B = {3,4,5,6}, C = {5,6,7,8} and D = {7,8,9,10}, then find A \(\cup\) C

Write the following as intervals:
{x: x ∈ R, -12 <x <-10}

Are the following pairs of sets equal? Give reasons.
(i) A = {-4, 4} B = {x : x ∈ Nand x² - 16 = 0}
(ii) A = {x : x is a letter in the word CHARM}
B = {x : x is a letter in the word MARCH}

Write the following sets in the set-builder form:
{3, 9, 27, 81, 243}

Write the following sets in roster form:
D = {x : x ∈ N and x = n³}

Which of the following are sets? Justify your answer:
The collection of all odd integers.

Which of the following are sets? Justify your answer:
The collection of all divisors of 30.

Which of the following are sets? Justify your answer:
The collection of all the months of a year having 31 days

From the sets given below, select empty set, singleton set, infinite set and equal sets.
D = {2, 4, 6, 8, 10}

Consider the following sets  \(\phi\) , A = {2,5}, B = {1,2,3,4} and C = {1,2,3,4,5} Insert the correct symbol  \(\subset\)  or \(\nsubseteq\)  between the pair set 
A....... B

The members of a group of 400 people speak either Hindi or English or both.If 270 speak Hindi only and 50 speak both Hindi and English, then how many of them speak English only?

In a town with a population of 5000, 3200 people are egg eaters, 2500 meat-eaters and 1500 eat both egg and meat.How many are pure vegetarians?

If U={a,b,c,d,e,f}, A={a,b,c}, B={c,d,e,f}, C={c,d,e}, D={d,e,f}, then tabulate the following set A\(\cup \phi \)