15. Always Ahead Ltd. is an established player in FMCG, Herbs, Health care and White goods. Company has classified its portfolio on investments in different businesses in four quadrants as suggested by Boston Consulting Group. On further analysis of relationship between market growth rate and relative market share for White goods business, it is found that opportunities to increase its market share are there. Emphasis need to be given to make a strong future with large market share even by foregoing short-term earnings for this business. Which strategy is being pursued by the company for White goods segment:

If $\displaystyle A = \{1, 2, 3, 4, 5\}$, $\displaystyle B = \{2, 4\}$ and $\displaystyle C = \{1, 3, 5\}$ then $\displaystyle (A - C)$$\displaystyle \times$ B is:

If $\displaystyle f(x)=x^2-5$, evaluate $\displaystyle f(3)$, $\displaystyle f(-4)$, $\displaystyle f(5)$, and $\displaystyle f(1)$.

Out of a group of $20$ teachers in a school, $10$ teach Mathematics, $\displaystyle 9$ teach Physics and $\displaystyle 7$ teach Chemistry. $\displaystyle 4$ teach Mathematics and Physics but none teach both Mathematics and Chemistry. How many teach Chemistry and Physics; how many teach only Physics?

If $\displaystyle A = \{1, 2, 3, 4, 5, 7, 8, 9\}$ and $\displaystyle B = \{2, 4, 6, 7, 9\}$ then how many proper subset of $\displaystyle A \cap B$ can be created?

The number of subsets of the set $\displaystyle \{0, 1, 2, 3\}$ is:

If $\displaystyle f(x) = x^2+x-1$ and $4f(x) = f(2x)$, then find the value of 'x'.