CA Foundation · Quantitative Aptitude · Probability
A number is chosen at random from the integers 1 to 50. What is the probability that it is divisible by 4 or by 6?
The probability is 8/25. Among 1 to 50 there are 12 multiples of 4 and 8 of 6, with 4 multiples of 12 counted twice, leaving 16 favourable numbers out of 50, which simplifies to 8/25.
- A8/25Correct
- B6/25
- C1/5
- D9/25
Explanation
Multiples of 4: 12. Multiples of 6: 8. Multiples of both, i.e. of 12: 4. Count = 12 + 8 − 4 = 16. Probability = 16/50 = 8/25. Adding without subtracting the overlap gives 20/50 = 2/5, which is wrong.
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