De Morgan laws

If p, 1 and q are in AP and p and 2 q are in GP, then which of the following statements is/are correct? I. p, 4, q are in HP.

 II. 1p, 1/4 ,1/q  are in AP.

 Select the answer using the code given below:

If p^x = q^y = rz, where x, y and z are in GP, then consider the following statements:

I. p, q and r are in AP.

II. ln p, ln q and ln r are in GP.

Which of the statements given above is/are correct?

If A and B are non-empty subsets of a set, and A^c and B^c represent their complements, then which of the following is/are correct?

 I. A - B = B^c - A^c

II. A - B^c = A^c - B

 Select the answer using the code given below.

Let y = x! and z = (2x)!. If (z/y) = 120, then what is the value of (3x)!?

If (10 + log₁₀x), (10 + log₁₀ y) and (10 + log₁₀ z) are in AP, then consider the following statements:

 I. The GM of x and z is y².

II. The AM of log₁₀ x and log₁₀ z is log₁₀ y.

 Which of the statements given above is/are correct?