In a four-digit number, the product of the thousands digit and units digit is zero while their difference is 7. Product of the middle digits is 18. The thousands digit is as much more than the units…
Question and options
In a four-digit number, the product of the thousands digit and units digit is zero while their difference is 7. Product of the middle digits is 18. The thousands digit is as much more than the units digit as the hundreds digit is more than the tens digit. The four-digit number is
- 7630
- 7920
- 7810
- 7290
Answer and explanation
Correct answer: B - 7920
The number is . The outer digits are and because the leading digit is nonzero, their product is zero, and their difference is . The inner digits must multiply to and differ by , so the hundreds digit is and the tens digit is . The number reverses their required order.
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