Question : The number between 4000 and 5000 that is divisible by each of 12, 18, 21 and 32 is:
Option 1: 4023
Option 2: 4032
Option 3: 4302
Option 4: 4203
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Correct Answer: 4032
Solution :
Given: The number is between 4000 and 5000.
The required number is divisible by 12,18, 21 and 32.
Now, LCM of 12, 18, 21 and 32 = 2016
2016 does not lie between 4000 and 5000.
Let the number = 2016 × k (for any integer k)
By putting k = 2, we get:
Number = 2016 × 2
Number = 4032
4032 lies between 4000 and 5000.
Hence, the correct answer is 4032.
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