11th Class Mental Ability Numbers Question Bank Question - Number System

  • question_answer
    In a cricket match, the number of runs scored by any team is equal to power of the number of batsmen playing in the team. Six batsmen played in team A and eleven batsmen played in team B. If team A won by 95 runs, then find the runs scored by team A.

    A) 216

    B) 220

    C) 210

    D) 230

    E) None of these

    Correct Answer: A

    Solution :

    Explanation Option (a) is correct. Let the power of the terms be x and y. \[{{6}^{x}}-{{11}^{y}}=95\] Put \[x=3,\text{ }y=2\](By trial and error) \[{{6}^{3}}-{{11}^{2}}=95\] Hence satisfied Score of team A \[=63=216\]


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