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    Subject

    Quantitative Aptitude

    Topic

    Number

    How many prime numbers exist in 65×359×1136^5\times35^9\times11^3 ?

    ক)
    29
    খ)
    31
    গ)
    33
    ঘ)
    27

    Explanation

    Given 65×359×1136^5\times35^9\times11^3 ⇒(2×3)5×(5×7)9×113\Rightarrow\left(2\times3\right)^5\times\left(5\times7\right)^9\times11^3 ⇒25×35×59×79×113\Rightarrow2^5\times3^5\times5^9\times7^9\times11^3 Thus, there are (5 + 5 + 9 + 9 + 3)= 31 prime numbers.

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