If the sum of three consecutive even numbers is 78, what is the second largest number ?

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UP Police Constable Re-Exam 2024 Official Paper (Held On: 23 Aug, 2024 Shift 1)
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  1. 26
  2. 24
  3. 30
  4. 28

Answer (Detailed Solution Below)

Option 1 : 26
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UP Police Constable हिंदी (मॉक टेस्ट)
20 Qs. 20 Marks 14 Mins

Detailed Solution

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Given:

Sum of three consecutive even numbers = 78

Concept used:

Three consecutive even numbers = x, (x + 2), (x + 4)

Calculation:

According to the question,

x + x + 2 + x + 4 = 78

⇒ 3x + 6 = 78

⇒ 3x = 78 - 6

⇒ 3x = 72

⇒ x = 72/3 = 24

Thus, Second largest number = (x + 2) = 24 + 2 = 26

∴ The correct answer is option (1).

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