Question : Which number among 24963, 24973, 24983, and 24993 is divisible by 7?
Option 1: 24973
Option 2: 24983
Option 3: 24963
Option 4: 24993
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Correct Answer: 24983
Solution :
Given numbers: 24963, 24973, 24983, and 24993.
We know, a number is divisible by 7 if the difference between twice the unit digit of the number and the remaining part of the number is 0 or a multiple of 7.
Here, for 24983
⇒ (2498 – 3 × 2) = 2492
⇒ (249 – 2 × 2) = 245
⇒ (24 – 5 × 2) = 14 which is divisible by 7.
$\therefore$ 24983 is divisible by 7.
Hence, the correct answer is 24983.
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