Sets Test - 32...

Which  one of the following is not true? 

If $$A=\begin{Bmatrix}x\in R : x^2+6x-7<0\end{Bmatrix}$$ and $$B=\begin{Bmatrix}x\in R : x^2+9x+14<0\end{Bmatrix}$$, then which of the following is/are correct?
1. $$(A\cap B)=(-2, 1)$$
2. $$(A \setminus B)=(-7, -2)$$
Select the correct answer using the code given below :

Let X be a set of $$5$$ elements. The number d of ordered pairs (A, B) of subsets of X such that $$A\neq \Phi, B\neq \Phi, A\cap B=\Phi$$ satisfies.

Consider the following:
1. $$A\cup \left( B\cap C \right) =\left( A\cap B \right) \cup \left( A\cap C \right) $$
2. $$A\cap \left( B\cup C \right) =\left( A\cup B \right) \cap \left( A\cup C \right) $$
Which of the above is/are correct?

What is the percentage of persons who read only two papers ?

Let U = { $$x \in N : 1 \le x \le 10 $$ } be the universal set, $$N$$ being the set of natural numbers. If $$A = \{1, 2, 3, 4\}$$ and $$B = \{2, 3, 6, 10\} $$ then what is the complement of $$(A - B)$$ ?

Out of 500 first year students, 260 passed in the first semester and 21 0 passed in the second semester. If 170 did not pass in either semester, how many passed in both semesters ?

A market research group conducted a survey of $$1000$$ consumers and reported that $$720$$ consumers like product A and $$420$$ consumers like product B. Then, the least number of consumers that must have liked both the products is.

In a group of $$50$$ people, two tests were conducted, one for diabetes and one for blood pressure. $$30$$ people were diagnosed with diabetes and $$40$$ people were diagnosed with high blood pressure. What is the minimum number of people who were having diabetes and high blood pressure?

If $$A : \left \{x : x \text { is a multiple of } 3\right \}$$ and $$B = \left \{x : x \text { is a multiple of } 4\right \}$$ and $$C = \left \{x : x \text { is a multiple of } 12\right \}$$, then which one of the following is a null set?