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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…

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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
  1. 7630
  2. 7920
  3. 7810
  4. 7290

Answer and explanation

Correct answer: B - 7920

The number is 79207920. The outer digits are 77 and 00 because the leading digit is nonzero, their product is zero, and their difference is 77. The inner digits must multiply to 1818 and differ by 77, so the hundreds digit is 99 and the tens digit is 22. The number 72907290 reverses their required order.

Practice for these exams

  • IPMAT Indore

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