An 11-digit number 7823326867X is divisible by 18. What is the value of X? 

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SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 1)
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  1. 6
  2. 4
  3. 8
  4. 2

Answer (Detailed Solution Below)

Option 4 : 2
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Detailed Solution

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Calculation : 

To check the divisibility by 18 we have to check divisibility by 2 and 9.

⇒ 7 + 8 + 2 + 3 + 3 + 2 + 6 + 8 + 6 + 7 + x = 52 + x

Now Putting x = 6, 4, 8, 2

We have,

⇒ 52 + 6 = 58

⇒ 52 + 4 = 56

⇒ 52 + 8 = 60

⇒ 52 + 2 = 54

We can see 54 is divided by both 2 and 9

∴ The correct answer is 2.

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