If a three-digit number is chosen at random, what is the probability that it is divisible neither by 3 nor by 4?
Question and options
If a three-digit number is chosen at random, what is the probability that it is divisible neither by 3 nor by 4?
Answer and explanation
Correct answer: B - \(\frac{1}{2}\)
900 three-digit numbers. Divisible by 3: 300; by 4: 225 (100..996); by 12: 75 (108..996). By 3 or 4: 300+225-75 = 450. Neither: 450/900 = 1/2.
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IPMAT Indore
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