Question

Find the greatest number of four digits and the least number of five digits which when divided by 789 leaves remainder 5 in each case.

Answer 1

greatest 4 digits number =9999

smallest 5 digits number =10000

9999÷789= Q=12. R=531

9999-531=9468

9468+5=9473

therefore, the greatest 4 digits number when divided by 789 gives 5 as remainder =9473

10000÷789= Q=12 R=532

789-532=257

257+5=262

10000+262=10262

therefore, the smallest number of five digits which when divided by 789 gives remainder 5 = 10262