Question 3 (a) Capital project data: Annual interim cash inflows for first two years: ₹1,00,000 Annual interim cash inflows for next two years: ₹80,000 Useful life: 4 years; Salvage value at end: ₹50,000; IRR = 12%; Cost of capital = 10% Calculate: (i) Initial investment, (ii) NPV, (iii) Profitability Index, (iv) Discounted Payback Period, (v) MIRR (1+1+1+1+2 = 6 Marks) (b) Z Ltd. is an unlevered company. Wants to repurchase equity shares of ₹300 lakhs by issuing 12% debentures of same amount. Current MV of Z Ltd. = ₹1,400 lakhs, cost of capital = 18%, EBIT maintained, dividend payout = 100%, tax = 30%. As per MM approach, impact on: (i) Market Value of Z Ltd., (ii) Overall cost of capital, (iii) Cost of equity. (4 Marks)

If $\displaystyle A = \{1, 2, 3, 4, 5\}$, $\displaystyle B = \{2, 4\}$ and $\displaystyle C = \{1, 3, 5\}$ then $\displaystyle (A - C) \times B$ 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 $\displaystyle 20$ teachers in a school, $\displaystyle 10$ 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 $\displaystyle 4f(x) = f(2x)$, then find the value of 'x'.