Question : 9435 is added to 7593, then 2607 is subtracted from the sum. The result is divisible by:
Option 1: 4
Option 2: 10
Option 3: 3
Option 4: 5
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Correct Answer: 3
Solution :
Resultant number = 7593 + 9435 – 2607 = 14421
Divisibility check:
⇒ Since the unit digit is not 0, it is not divisible by 10.
⇒ Since the last two digits, 21, is not divisible by 4, it is also not divisible by 4.
⇒ Since the unit digit is not 0 or 5, it is not divisible by 5.
⇒ Since the sum of digits = 1 + 4 + 4 + 2 + 1 = 12 is a multiple of 3, it is divisible by 3.
Hence, the correct answer is 3.
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