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IMAS 2015 — Upper Primary Grades 5–6 — Round 1 Question 2

IMAS · IMAS 2015 — Upper Primary Grades 5–6 — Round 1

Question 2

Each of P, Q and R writes down an integer greater than 2015. When 2013 is subtracted from P’s number, 2014 is subtracted from Q’s number and 2015 is subtracted from R’s number, the product of the differences is 88407. Which of the following statements is correct?
  1. P’s and Q’s numbers are odd and R’s is even.
  2. Q’s and R’s numbers are odd and P’s is even.
  3. R’s and P’s numbers are odd and Q’s is even.
  4. All three numbers are odd.
  5. Q’s number is odd and R’s and P’s numbers are even.