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7th Class Mental Ability Algebraic Expressions Question Bank Algebra

  • question_answer
    Stephen's mathematics test had 85 problems, which contains 20 algebra, 30 statistics and 35 geometry problems. He answered 70% of algebra, 40% of the statistics and 60% of geometry problems correctly. He did not pass the test because he got less than 60% of the problem correct. How many more questions he would have needed to answer correctly to earn 60% passing grade?

    A) 5                

    B) 4

    C) 1                     

    D) 3

    E) None of these

    Correct Answer: B

    Solution :

    Explanation Number of questions attempted correctly \[= \left( 70\,% of 20 + 40\,% of 30 + 60\,% of 35 \right)\] \[= \,\left( 14 + 12 + 21 \right) =47\] Questions to be answered correctly to obtained \[60\,% = 60\,% of 85 = 51\] Required number of question \[= \,\left( 51 - 47 \right) = 4.\]


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