If the pair of linear equations $2x + 3y = 7 $ and $ 2px + (p + q) y = 28$ has an infinite number of solutions, then (p, q)

If $\dfrac{a}{b+c}=\dfrac{b}{c+a}=\dfrac{c}{a+b}=k$ then value of $k$ is

Which of the following statements is/are correct?

A. If $2^x = 3^y = 6^{-z}$, then $\frac{1}{x} + \frac{1}{y} + \frac{1}{z} = 0$

B. $(243)^{0.16} \times (9)^{0.1} = 0.3$

C. If $3.105 \times 10^P = 0.00239 + 0.000715$, then P = -3

If $a\times b=2 a-3 b+a b$,then $3 \times 5+5 \times 3$ is equal to

If $a + b = 2c$, then the value of $\frac{a}{a-c} + \frac{b}{b-c}$ is

In a Women's Chess Championship having 300 entrants, a player is eliminated whenever she loses a match. It is given that no match results in a draw. The number of matches that are played in the entire Championship is:

The total number of seconds in P weeks, P days, P hours, P minutes, and P seconds is: