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Find the number of integral solutions of the equation p2=388+q2
A .  0
B .  1
C .  2
D .  3
E .  more than 3
Answer: Option E
option (e)the equation can be rewritten as p2-q2=388. the number of ways in which 388 can be expressed as difference of squares in one way as 388 is a prime multiple of 4 ( 4 x 97). However, since the question is about integral solutions, the total number of ways in which it can be expressed will be 4 (2 cases for p, positive and negative and 2 cases for q)

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