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How many 3-digit numbers are completely divisible by 6 ?
Answer & Solution
Correct Answer:
Option
B
3-digit numbers divisible by 6 are 102, 108, 114 ..... , 996
This is an A.P. in which a = 102, d = 6 and Tn = 996
∴ Tn = a + (n - 1) d
⇒ 102 + (n - 1) × 6 = 996
⇒ (n - 1) × 6 = 894
⇒ (n - 1) = 149
⇒ n = 150
This is an A.P. in which a = 102, d = 6 and Tn = 996
∴ Tn = a + (n - 1) d
⇒ 102 + (n - 1) × 6 = 996
⇒ (n - 1) × 6 = 894
⇒ (n - 1) = 149
⇒ n = 150
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