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Railways Sample Paper RRB (Assistant Loco Pilot) Sample Test Paper-16

  • question_answer
    In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:

    A)  24                               

    B)  26                               

    C)  42                   

    D)         46

    Correct Answer: A

    Solution :

    Let the ten digit be x. Then, unit's digit \[~=x+2\] Number \[=10x+(x+2)=11x+2;\] Sum of digits \[=x+(x+2)=2x+2\] \[\therefore \]\[(11x+2)(2x+2)=144\Rightarrow 22{{x}^{2}}+26x-140=0\] \[\Rightarrow \] \[(11x+35)\,(x-2)=0\Rightarrow x=2\] Hence, required number = 24.


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