Find the value of p if 3x + p, x 10 and x+ 16 are in arithmetic progression.

Find the value of p if 3x + p, x 10 and x+ 16 are in arithmetic progression.
1). 12
2). 17
3). 43
4). -36

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1. If $\frac{2p}{p^{2}-2p+1}=\frac{1}{4}$ , then the value of $p+\frac{1}{p}$ is?

2. ABCD is a cyclic trapezium whose sides AD and BC are parallel to each other. If $\angle ABC$ = $75^{0}$ then the measure of $\angle BCD$ is:

3. What approximate value will come in place of the question mark (?) in the following questions ? (You are not expected to calculate the exact value).

4. If a + b + c = 8, a2 + b2 + c2 = 30, and a3 + b3 + c3 = 134, then the value of (abc)-1 is:

5. If the difference of squares of two consecutive odd numbers is 64, then what is their sum?

6. The sum of the squares of two numbers is 578. If one of the number is 7, the other will be

7. Mohit's age is three times more than his son Vinil's. After 3 years, he would be three and a half times of Vinil's age. After 6 years, what would be the sum of Mohit’s and Vinil's age?

8. 2/5 of the income of a person is spent over food, 1/3 towards loan. If the remaining amount is Rs. 3, 000 calculate his income.

9. If $9x - \left[\frac{5\left(2x + 1\right)}{2}\right]$ =$\frac{9}{2}$, then the value of x is?

10. If 5x + 6(3 - 2x) = 4, then what is the value of x?