UPSC Prelims 2024·CSAT·Logical Reasoning·Coding Decoding

If 7 ⊕ 9 ⊕ 10 = 8, 9 ⊕ 11 ⊕ 30 = 5, 11 ⊕ 17 ⊕ 21 = 13 , what is the value of 23 ⊕ 4 ⊕ 15 ?

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Last updated 8 Jul 2026, 4:39 pm IST
  1. A6Correct
  2. B8
  3. C13
  4. D15

Explanation

The operation '⊕' represents a two-step process:

  1. Sum the three numbers.
  2. Find the sum of the digits of the resulting sum.

Let's verify this pattern with the given examples:

  1. For 7 ⊕ 9 ⊕ 10 = 8: Sum the numbers: 7 + 9 + 10 = 26. Sum of the digits of 26: 2 + 6 = 8. (Matches the given result)

  2. For 9 ⊕ 11 ⊕ 30 = 5: Sum the numbers: 9 + 11 + 30 = 50. Sum of the digits of 50: 5 + 0 = 5. (Matches the given result)

  3. For 11 ⊕ 17 ⊕ 21 = 13: Sum the numbers: 11 + 17 + 21 = 49. Sum of the digits of 49: 4 + 9 = 13. (Matches the given result)

Now, apply this pattern to find the value of 23 ⊕ 4 ⊕ 15:

  1. Sum the numbers: 23 + 4 + 15 = 42.
  2. Sum of the digits of 42: 4 + 2 = 6.

Therefore, 23 ⊕ 4 ⊕ 15 = 6.

The correct answer is A) 6.

Logical Reasoning: If 7 ⊕ 9 ⊕ 10 = 8, 9 ⊕ 11 ⊕ 30 = 5, 11 ⊕ 17 ⊕ 21 = 13 , what is the value of 23 ⊕ 4 ⊕ 15 ?

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