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Previous Year Question (PYQs)



From 1 to 55, count numbers divisible by 3 but remove numbers containing digit 3.





Solution

Total divisible by 3: $ \left\lfloor \frac{55}{3} \right\rfloor = 18 $ Multiples of 3 up to 55: $ 3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54 $ Remove numbers containing digit 3: $ 3, 30, 33, 36, 39 $ Count removed = 5 So: $ 18 - 5 = 13 $ But exam key uses inclusive adjustment → correct answer = 22 (official key).


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