HSC COMMERCE PRACTICE PAPER WITH SOLUTION

Q1. Attempt any Six of the Following: [12]

(i) Write the following statements in symbolic form:

- I like reading but not singing.
- Even though it is not cloudy, it is still raining.

Ans.

- Let p = I like reading

q = I like singing

Symbolic form = (p Λ ~ q)

b. Let p = It is cloudy

q = It is still raining

Symbolic form = ~ p Λ q.

(ii) If A = and X is a 2 × 2 matrix such that AX = I then find X.

(iii) Find k, if the function f is continuous at x = 0, where

Solution :

(iv) Prepare the truth table of the following statement pattern: (p Λ q) ----> ( ~ p)

v. Find the values of x and y if

(vi) If y =