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The sum of the greatest and smallest six digit numbers that can be formed from the digits 5, 9, 0, 2, 8 and 6 (without repetition) is :

  • A.1192290
  • B.1192209
  • C.1292290
  • D.1292209

Answer: B

The sum is 1192209.

The greatest six-digit number from 5, 9, 0, 2, 8, 6 puts the digits in descending order: 986520.

The smallest puts them in ascending order, but a six-digit number cannot start with 0, so the smallest non-zero digit, 2, goes first and 0 second: 205689.

\[ 986520 + 205689 = 1192209 \]

Option A, 1192290, comes from a slip in the units digits, and the options starting 1292 come from adding 100000 too much. Starting the smallest number with 0 would give only a five-digit number, which is the trap the question sets.

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