Question : How many numbers are there from 17 to 457 which are divisible by both 5 and 3?
Option 1: 29
Option 2: 35
Option 3: 30
Option 4: 33
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Correct Answer: 29
Solution :
Numbers from 17 to 457 which are divisible by both 5 and 3
= multiples of 15 greater than 17 and lesser than 457
= 30, 45,......450
= (15 × 2), (15 × 3),........(15 × 30)
Total number = 2nd term to 30th term = 29 terms
Hence, the correct answer is 29.
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