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The least multiple of 23 when divided by 18, 21 and 24 leaves the remainder 7, 10 and 13 respectively. The number is:
1. 3113
2. 3131
3. 3103
4. 3013

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Correct Answer - Option 4 : 3013

Calculation:

LCM of 18, 21 and 24 is 504

Let the number be 504k

According to the question

⇒ 504k  [(18 – 7) + (21 – 10) + (24 – 13)]/3

⇒ 504k – (33/3)

⇒ 504k – 11

Put the value of k so that it should be divisible by 23

Put k = 6

  ⇒ 504 × 6 – 11

⇒ 3024 – 11 

⇒ 3013

∴ The number is 3013

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