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TMUAmockz Set 1 Paper 1 · Q19

Paper 1Algebra

Positive integers p,qp,q and rr satisfy p<q<rp<q<r. The simultaneous equations

2x+y=12andy=∣x−p∣+∣x−q∣+∣x−r∣2x+y=12\quad\text{and}\quad y=|x-p|+|x-q|+|x-r|

have exactly one solution. Find the minimum possible value of rr.

A44
B55
C66
D77
E88
F99

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