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Aptitude · Q564

Number System

Competitive Exams · Aptitude · question 564

Q564

How many 3-digit numbers are completely divisible by 6 ?

A.
149
B.
150
Answer
C.
151
D.
166

Answer: Option B

Solution

Answer: Option B
Solution:
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