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  • Question
  • Mohan gets 3 marks for each correct sum and loses 2 marks for each wrong sum. He attempts 30 sums and obtains 40 marks. The number of sums solved correctly is


  • Options
  • A. 25
  • B. 10
  • C. 15
  • D. 20

  • Correct Answer
  • 20 

    Explanation

    Solution 1.
    Let the question solved correctly by Mohan = X ;
    and number of question solved wrongly by Mohan = 30 - X ;
    According to the question,
    3X - (30 - X) x 2 = 40
    ? 3x - 60 + 2x = 40
    ? 5x - 60 = 40
    ? 5x = 40 + 60 ? x = 100/5 = 20
    ? Mohan attempted 20 questions correctly .

    Solution 2.
    Let the question solved correctly by Mohan = X ;
    and number of question solved wrongly by Mohan = Y ;
    According to given question;
    X + Y = 30 ; -----------i
    3X - 2Y = 40 ;-------ii

    Now multiply the first equation by 2;
    we will get
    2X + 2Y = 60 ;--------iii
    After Add the equation ii and iii , we will get
    3X - 2Y + 2X + 2Y = 40 + 60 ;
    ? 5X = 100 ;
    ? X = 20;

    ? Mohan attempted 20 questions correctly .


  • Simplification problems


    Search Results


    • 1. 
      683.46 - 227.39 - 341.85 =?

    • Options
    • A. 114.22
    • B. 141.22
    • C. 144.22
    • D. 112.22
    • Discuss
    • 2. 
      8648 - 7652 =? x 40

    • Options
    • A. 24.7
    • B. 28.9
    • C. 27.4
    • D. 25.9
    • Discuss
    • 3. 
      10.8 x 5.5 x 8.4 =?

    • Options
    • A. 458.69
    • B. 489.96
    • C. 498.96
    • D. 485.69
    • Discuss
    • 4. 
      Simplify 6 - [9 - {18 - (15 -12 - 9)}]

    • Options
    • A. 1
    • B. 4
    • C. 5
    • D. 3
    • Discuss
    • 5. 
      Find the value of a 3 + b 3 + c 3 - 3abc when a = 225, b = 226 , c = 227

    • Options
    • A. 2304
    • B. 2430
    • C. 2034
    • D. 2340
    • Discuss
    • 6. 
      It is required to get 40% marks to qualify an exam. A candidate scored 200 marks and failed by 8 marks. What were the maximum marks of that exam?

    • Options
    • A. 520
    • B. 540
    • C. 502
    • D. Couldn't be determined
    • Discuss
    • 7. 
      One-third of Rahul's marks in Mathematics exceeds one-half of his marks in Hindi by 30. If he got 480 marks in the two subjects together, how many marks did he get in Hindi ?

    • Options
    • A. 200
    • B. 294
    • C. 156
    • D. 196
    • Discuss
    • 8. 
      A container of milk was 4/5 full. When 12 bottles of milk were taken out and 8 bottles of milk were poured into it, it was 3/4 full. How many bottles of milk can the container contain?

    • Options
    • A. 80
    • B. 40
    • C. 90
    • D. 30
    • Discuss
    • 9. 
      The number obtained by interchanging the digits of a two-digit number is more than the original number by 27 and the sum of the digits is 13. What is the original number ?

    • Options
    • A. 58
    • B. 67
    • C. 76
    • D. 85
    • Discuss
    • 10. 
      Of three positive numbers the product of the first and second is 42, that of the second and third is 56 and that of third and first is 48, The third number is

    • Options
    • A. 12
    • B. 6
    • C. 7
    • D. 8
    • Discuss


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