J & K CET Engineering J and K - CET Engineering Solved Paper-2007

  • question_answer
    The probability of choosing a number divisible by 6 or 8 from among 1 to 90 is

    A)  \[\frac{1}{6}\]

    B)  \[\frac{1}{90}\]

    C)  \[\frac{1}{30}\]

    D)  \[\frac{23}{90}\]

    Correct Answer: D

    Solution :

    Total numbers \[=90\] Numbers divisible by \[6=6,\,12,18,24,30,36.\] \[42,48,54,60,66,72,78,84,90\] Number divisible by \[8=8,16,24,32,40,48,\] \[56,64,72,80,88\] Total number of numbers divisible by 6 or 8 \[=15+11-3=23\] \[\therefore \]   Required probability \[=\frac{23}{90}\]


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