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  • Question
  • In a class of 60 students, the number of boys and girls participating in the annual sports is in the ratio 3 : 2 respectively. The number of girls not participating in the sports is 5 more than the number of boys not participating in the sports. If the number of boys participating in the sports is 15, then how many girls are there in the class ?


  • Options
  • A. 20
  • B. 25
  • C. 30
  • D. Data inadequate

  • Correct Answer
  • 30 

    Explanation

    Let the number of boys and girls participating in sports be 3x and 2x respectively.

     

    Then, 3x = 15 or x = 5.

     

    So, number of girls participating in sports = 2x = 10.

     

    Number of students not participating in sports = 60 - (15 + 10) = 35.

     

    Let number of boys not participating in sports be y.

     

    Then, number of girls not participating in sports = (35 -y).

     

    Therefore (35 - y) = y + 5 <=> 2y<=>  30<=> y = 15.

     

    So, number of girls not participating in sports = (35 - 15) = 20.

     

    Hence, total number of girls in the class = (10 + 20) = 30.


  • More questions

    • 1. Find the odd one out:

    • Options
    • A. See
    • B. Hear
    • C. Smell
    • D. Taste
    • Discuss
    • 2. 
      Statement:
      Some dogs bark.
      All dogs bite.
      Conclusions:
      I. Those dogs who do not bark, also bite.
      II. Those dogs who do not bark, not necessarily bite.

    • Options
    • A. Only I follows
    • B. Only II follows
    • C. Either I or II follows
    • D. Neither I nor II follows
    • Discuss
    • 3. 
      NA

    • Options
    • A. Petrol : Car
    • B. Electricity : Televsioin
    • C. Ink : Pen
    • D. Dust : Vaccum cleaner
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    • 4. 
      NA

    • Options
    • A. Ice cube : Cold
    • B. Iron : Hard
    • C. Marble : Smooth
    • D. Purse : Money
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    • 5. 
      16 : 56 : : 32 :?

    • Options
    • A. 96
    • B. 112
    • C. 118
    • D. 128
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    • 6. 
      NA

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    • A. Sweetness
    • B. Elegant
    • C. Bright
    • D. Beautiful
    • Discuss
    • 7. 
      NA

    • Options
    • A. Principal : School
    • B. Soldier : Barrack
    • C. Artist : Troupe
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    • 8. 
      NA

    • Options
    • A. Tree : Stem
    • B. Face : Eye
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    • 9. 
      Mohan starts from point A and walks 1 km towards south, turns left and walks 1 km. Then he turns left again and walks 1 km. Now he is facing

    • Options
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    • Discuss
    • 10. 
      N/A

    • Options
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    • D. Iron : Anaemia
    • Discuss


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