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SSC Sample Paper Mock Test-17 SSC CGL Tear-II Paper-1

  • question_answer
    Out of three numbers, the first is twice the second and is half of the third. If the average of the three numbers is 56, then difference of first and third numbers is

    A) 12

    B)  20     

    C)  24

    D)  48

    Correct Answer: D

    Solution :

    Let the numbers be\[2x,\]\[x\]and \[4x,\]respectively. \[\therefore \]      Average \[=\frac{2x+x+4x}{3}\] \[\Rightarrow \]   \[\frac{7x}{3}=56\]\[\Rightarrow \]\[x=\frac{3\times 56}{7}=24\] \[\therefore \]      First number \[=2x=2\times 24=48\] Third number\[=4x=4\times 24=96\] \[\therefore \] Required difference \[=96-48=48\]


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