Raghav has got a bag of numbers from 1 to 500, however he want to remove the numbers those are multiple of 9. How many total numbers will be removed?
(A)
44
(B)
55
(C)
50
(D)
52
Answer: (B)
Explanation:
The required numbers are 9, 18, 27, 36, 45……450, 459, 468, 477, 486, 495 This is an A.P. with a = 9 and d = 9 Let it has n terms. Then Tn = 495 = 9 + (n-1) x9 ∴ 495 = 9 + 9n - 9 ∴ 9n = 495 ∴ n = 55
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