`(10p + q) (10q + p)=`

P ** q = p^2 - q^2 p $ q = p^2 - q^2 p $ q = p^2 + q^2 p @ q = pq + p + q p Delta q = Remainder of p/q p © q = greatest integer less than or equal to p/q . If p = 8 and q = 10 , then the value of [(p $ q) Delta (p @ q)] ** [(q ** p) @ (q © p)] is :

If (p + 2) (2q - 1) = 2pq - 10 and (p - 2) (2q - 1) = 2pq - 10, then what is pq equal to ?

If p : 10 gt 8, q : 10 gt 12 , then p ^^ q

Probability that the length of a randomly chosen chord of a circle lies between 1/2 and 3/4 of its diameter is p/q, where p and q are coprime number, then (A) p + q = 21 (B) q - p = 11 (C) p + q = 20 (D) q - p = 10

I. 3p^(2) + 17p+10 = 0 II. 10q^(2) +9q+2=0

If log_(10) a= p and log_(10) b = q, then what is log_(10) (a^(p)b^(q)) equal to ?