21.How many three digit natural numbers are divisible by 6
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Answer:
Actually three digit natural numbers are from 100, 101,……999.
Use Arithmetic Progression(A.P) to find the three digit numbers that are divisible by 6.
So, 102, 108, 114,……..996.
It is like A.P. In this series a=102(First term), d=6(Difference). l= 996 (last term). n is the number of terms.
l =a +(n-1)d
996 = 102 + (n-1) 6
894/6 = n-1
149 + 1= n
n=150.
So 150 three digit numbers are divisible by 6.
Step-by-step explanation:
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Answered by
0
Use Arithmetic Progression(A.P) to find the three digit numbers that are divisible by 6.
So, 102, 108, 114,……..996.
It is like A.P. In this series a=102(First term), d=6(Difference). l= 996 (last term). n is the number of terms.
l =a +(n-1)d
996 = 102 + (n-1) 6
894/6 = n-1
149 + 1= n
n=150.
So 150 three digit numbers are divisible by 6.
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