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The sixth largest three-digit odd number among those with all digits distinct is
Question

The sixth largest three-digit odd number among those with all digits distinct is

A.

989

B.

987

C.

973

D.

971

Correct option is C

Given:
We need the descending list of three-digit odd numbers whose three digits are all different, and pick the 6th largest.

Formula / Logic Used:
Scan odd numbers from largest (999 downward), skip any number with repeated digits, and count distinct-digit odd numbers until the 6th is reached.

Solution:
Checking odd numbers from the top (skipping those with repeated digits):
999 (repeat) — skip
997 (repeat) — skip
995, 993, 991, 989 (repeats) — skip
987 → distinct (1st)
985 → distinct (2nd)
983 → distinct (3rd)
981 → distinct (4th)
979, 977 (repeats) — skip
975 → distinct (5th)
973 → distinct (6th)

Correct Answer: (c) 973

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