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Two-digit number xy where (10x+y) > 3(10y+x). i.e., 7x > 29y. How many such numbers satisfy an additional condition?

1. a) 4
2. b) 5
3. c) 6
4. d) 7

Correct answer: c) 6

Solution

The condition 7x>29y limits which digit pairs (x,y) are valid. With additional constraints from the full question, exactly 6 two-digit numbers satisfy all conditions.

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