Warning: preg_match(): Compilation failed: quantifier does not follow a repeatable item at offset 1 in /home/customer/www/mathsdiscussion.com/public_html/wp-includes/class-wp.php on line 233
Set theory Assignment 1 - Best Maths Practice Material

# Set theory Assignment 1

Question 1.

1.

In a group of 1000 students 750 like Mathematics and 400 like Science. Find how many like Mathematics only?  How many like Science only ? How many like both Mathematics and Science?

Question 2.

2.

If $A_r=\{rn\,:\;n\in N\}$ then find $A_3 \cap A_5$.

Question 3.

3.

A school awarded 58 medals in three sports, namely 38 in football, 15 in basketball and 20 in hockey. If 3 students get medals in all three sports, how many received medals in exactly two sports?

Question 4.

4.

In a group, 50 speak Hindi, 20 speak English and 10 speak both Hindi and English. How many speak at least one of these two languages?

Question 5.

5.

If  $A=\{x : Sin(x) \gt \cfrac{-1}{2}\, and\, \cfrac{-\pi}{2} \leq \cfrac{\pi}{2}\}$ and

$B=\{x:\, Cos(x)\gt \cfrac{1}{2}\, and \, 0\leq x \leq \pi\}$. Find $A\cap B$ and $A\cup B$.

Question 6.

6.