The least multiple of 23 when divided by 18, 21 and 24 leaves the remainder 7, 10 and 13 respectively. The number is:

Correct option is B

Solution:

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

So, The number is 3013