IGDTUW 2026 — Reasoning PYQ

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Question

IGDTUW 2026 — Reasoning PYQ

IGDTUW | Reasoning | 2026

The sum of the digits of a two-digit number is 11. If the digits are reversed, the new number is 9 less than the original number. What is the original number?

Choose the correct answer:

Explanation

Method 1: Using Options (Fastest Exam Approach)

We can quickly test the given options based on the conditions specified in the problem:

Condition 1: The sum of the digits must be $11$ .
- For $65$ :
  $6 + 5 = 11$
  (Satisfied)
- For $56$ :
  $5 + 6 = 11$
  (Satisfied)
- For $74$ :
  $7 + 4 = 11$
  (Satisfied)
- For $47$ :
  $4 + 7 = 11$
  (Satisfied)
Condition 2: Reversing the digits makes the new number $9$ less than the original.
- Test (a) 65: Reversing $65$ gives $56$ .
  $Difference = 65 - 56 = 9$
  Since it is exactly $9$ less, 65 is the correct answer.