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IMAS 2019–2020 Junior Division — First Round Question 20

IMAS · IMAS 2019–2020 Junior Division — First Round

Question 20

Suppose $a,b,c,d,e,f,g,h,i,j$ is an arrangement of 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 with different letters representing different numbers. At most how many of the ten fractions $\frac ab,\frac bc,\frac cd,\frac de,\frac ef,\frac fg,\frac gh,\frac hi,\frac ij,\frac ja$ can be reduced to integer values?
  1. 4
  2. 5
  3. 6
  4. 7
  5. 8