If 7 ⊕ 9 ⊕ 10 = 8, 9 ⊕ 11 ⊕ 30 = 5, 11 ⊕ 17 ⊕ 21 = 13 , what is the value of 23 ⊕ 4 ⊕ 15 ?
Reviewed by Dalvoy
UPSC Civil Services preparation
- A6Correct
- B8
- C13
- 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.
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