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Railways Sample Paper RRB (Assistant Loco Pilot) Sample Test Paper-6

  • question_answer
    If the difference of two numbers is 3 and the difference of their squares is 39; then the larger number is :

    A)  9                                

    B)  12                   

    C)         13                    

    D)         8                                

    Correct Answer: D

    Solution :

    Let the numbers are x, y. \[x-y=3\]                    ...(1) \[{{x}^{2}}-{{y}^{2}}=39\] \[\Rightarrow \]   \[(x-y)\,\,(x+y)=39\] \[\Rightarrow \]   \[x+y=13\]                    ??(2) Adding eqn (1) and (2)             \[x+y+x-y=16\]             \[\Rightarrow \]   \[x=8\]             \[\therefore \]      \[y=5\] Hence, 8 is the larger number.


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