7. T Ltd. is looking for a capital project in order to replace its existing old machine. It got two proposals to consider; details of which are given below: Proposal X Proposal Y Initial investment ₹ 6,50,000 ₹ 7,80,000 Estimated useful life 5 Years 3 Years Annal cash inflows ₹ 1,90,000 ₹ 3,50,000 Cost of capital 10% 10% Year 1 2 3 4 5 PVIF0.10, t 0909 0.826 0.751 0.683 0.621 PVIFA0.10, t 0.909 1.736 2.487 3.170 3.791 What will be Equivalent Annual NPV for Proposal X and Proposal Y?

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'.