If the 8-digit number 123456xy is divisible by 8, then the total possible pairs of (x, y) are:

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SSC CGL 2022 Tier-I Official Paper (Held On : 03 Dec 2022 Shift 4)
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  1. 8
  2. 13
  3. 10
  4. 11

Answer (Detailed Solution Below)

Option 2 : 13
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Detailed Solution

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Given:

The 8-digit number 123456xy is divisible by 8

Concept used:

If the last three digits of a number are divisible by 8, then the number is completely divisible by 8.

Calculation:

So, 6xy should be divisible by 8

Now,

Possible numbers are 600, 608, 616, 624, 632, 640, 648, 656, 664, 672, 680, 688, 696

So, total of 13 possible pairs can be made

∴ The required answer is 13.

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