**1A. Find the lowest positive angle that satisfies the equation expressed in degrees.**

**Discussion:**

Now this gives

Thus the possible values of

Since we require the smallest positive angle hence the answer is

**1B Let n be two times the tens digit of TNYWR. Find the coefficient of the term in the expansion of **

**Discussion:**

TNYWR is 3. Hence n = 6 Thus we are required to find coefficient of

This can be easily found from trinomial expansion. The required term is

**1C Let k be TNYWR, and let n = k/2. Find the smallest integer m greater than n such that 15 divides m and 12 divides the number of positive integer factors of m. **

**Discussion:**

k = 198, hence n = 99.

So we have to look at multiples of 15 greater than 99. We want 12 to divide the number of positive divisors of m.

Suppose

The first multiple of 15 greater than 99 is