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7th Class Mathematics Integers Question Bank Integer

  • question_answer
    In a test, 4 marks are given for every correct answer and -2 marks, for every incorrect answer. Asha answered all the questions and scored 26 marks though she got nine correct answers. Varun also answered all the questions and scored 2 marks though he got five correct answers. How many questions did each answer incorrectly?

    A)  10, 8                          

    B)  9, 18  

    C)         5, 9                

    D)         4, 10              

    Correct Answer: C

    Solution :

    Case 1 : Asha scored = 26 marks Correct answers by Asha = 9 Let incorrect answers by Asha be x \[\therefore \] According to question, \[9(4)+x(-2)=26\] \[-2x=26-36\Rightarrow \,\,x=5\] \[\therefore \] Incorrect answers by Asha = 5 Case 2 : Varun scored = 2 marks       Correct answers by Varun = 5            ; Let incorrect answers by Varun be y    \[\therefore \]  According to question \[5(4)+y(-2)=2\,\,\,\Rightarrow \,\,-2y=2-20\,\,\Rightarrow y=9\] \[\therefore \] Incorrect answers by Varun = 9


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