Question
How many natural numbers are there between 43 and 200 which are exactly divisible by 6?
How many natural numbers are there between 43 and 200 which are exactly divisible by 6?
Answer: Option B
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Answer : Option B
Explanation :
43/6 = 7, remainder = 1. Hence 5 more should be added to 43 to get the minimum
number divisible by 6 between 43 and 200.
=> Minimum number divisible by 6 between 43 and 200 = 43 + 5 = 48
200/6 = 33, remainder = 2. Hence 2 should be decreased from 200 to get the maximum
number divisible by 6 between 43 and 200.
=> Maximum number divisible by 6 between 43 and 200 = 200 - 2 = 198
Hence, with a = 48, d = 6, l=198
$MF#%\text{Number of terms }= \dfrac{(l-a)}{d} + 1 = \dfrac{(198-48)}{6} + 1 = \dfrac{150}{6} + 1 = 25 + 1 = 26$MF#%
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