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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Question : A six-digit number is divisible by 33. If 54 is added to the number, then the new number formed will also be divisible by:
Option 1: 3
Option 2: 2
Option 3: 5
Option 4: 7
Question : Which number among 11368, 11638, 11863, and 12638 is divisible by 11?
Option 1: 11368
Option 2: 12638
Option 3: 11638
Option 4: 11863
Question : In a 7-digit number 89476*2, what is the smallest possible value of * such that the number is divisible by 8?
Option 1: 2
Option 2: 1
Option 3: 4
Option 4: 3
Question : Find the largest number of 3 digits divisible by 4 and 7.
Option 1: 960
Option 2: 980
Option 3: 990
Option 4: 970
Question : Which number among 98984, 98992, 98998, and 99008 is NOT divisible by 8?
Option 1: 98998
Option 2: 98992
Option 3: 98984
Option 4: 99008
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