The question below consists of a question with four blanks (P), (Q), (R) and (S) followed by four number series I, II, III and IV. Numbers (P), (Q), (R) and (S) of the given number series may or may not be placed at the right places in the question.
Priya bought two items X and Y together at equal price. She marked item X at _(P)_% above its cost price and item Y at _(Q)%_ above its cost price. After allowing a discount of 20% on marked price of both the items, she sold item X at _(R)_% profit and item Y _(S)_% profit.
I: 432, 216, 72, 36, (P), 6
II: 18, (Q), 54, 75, 98, 123
III: 3, 4, (R), 17, 33, 58
IV: 5, 10, 20, (S), 80, 160
Which of the following statement is true?
I: The HCF actual value of (Q + S) and (P + R) is 5.
II: The HCF of R and S can be 8 or 1 only.
III: The difference between the square of Q and S is 3N5 where N is positive root of x2 - x - 56 = 0.