<p>A six digit number which does not satisfy the property mentioned above (for each digit, not more than two digits smaller than that digit appear to the right of that digit), is:</p>
Step-by-Step Solution
Key Concept: Check the condition for each digit by counting how many smaller digits appear to its right. If more than 2 digits smaller appear to the right of any digit, the number violates the property.
<p>We need to check which number violates the property that for each digit, not more than two digits smaller than that digit appear to the right of that digit.</p><p>Checking option (a) 315426: For digit 3, digits smaller than 3 to the right are 1, 2 (two digits) ✓. For digit 1, no smaller digits to the right ✓. For digit 5, digits smaller are 4, 2 (two digits) ✓. For digit 4, digit smaller is 2 (one digit) ✓. For digit 2, no smaller digits to the right ✓. For digit 6, digits smaller are 1, 5, 4, 2 (four digits) ✗</p><p>Checking option (b) 135462: For digit 1, no smaller digits ✓. For digit 3, digit 1 is to the left. For digit 5, digits 4, 2 are to the right (two digits) ✓. For digit 4, digit 2 is to the right (one digit) ✓. For digit 6, digits 5, 4, 2 are to the right (three digits) ✗</p><p>Checking option (c) 234651: For digit 2, no smaller digits ✓. For digit 3, digit 2 is to the left. For digit 4, digit 1 is to the right (one digit) ✓. For digit 6, digits 5, 4, 1 are to the right (three digits) ✗</p><p>All three options violate the property, so the answer is (d) None of these.</p>
Correct Answer: d