Subject

    Quantitative Aptitude

    Topic

    Number

    If x and y are prime numbers, which of the following CANNOT be the sum of x and y ?

    ক)
    5
    খ)
    9
    গ)
    13
    ঘ)
    23

    Explanation

    let , 2+3 = 5 --- (1) 2+7= 9 ----- (2) 2+11 = 13---- (3) 21+2 = 23 ----- (4) Here , we can see that the equation of 1,2,3 can be written as the sum of two prime numbers . Now, the equation of 4 is 23=2+21. Since 21 is not a prime then 23 cannot be written as the sum of two prime numbers .

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