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Home ‣ Verbal Reasoning ‣ Arithmetic Reasoning See What Others Are Saying!
  • Question

  • In a class there are certain no. of boys and girls. If 15 girls are absent then no. of boys will be twice that of girls. If 45 boys are absent then girls strength will be 5 times that of boys. Find number of boys actually present ?


  • Options
  • A. 40
  • B. 50
  • C. 55
  • D. 35

  • Correct Answer
  • 50 

    Explanation

    15 girls are absent => b = 2(g-15)...... eqn...(1)

    45 boys are absent => g - 15 = 5(b-45).....eqn...(2)

    => g = 5(b-45) + 15

    => b = 2((5(b-45)+15)-15)

    => b = 2(5b - 225 + 15 - 15)

    => b = 2(5b-225)

    => b = 10b - 450

    => 9b = 450

    => b = 50

    so from equation(2)

    g - 15 = 5(b - 45)

    => g - 15 = 5(50-45)

    => g - 15 = 5(5)

    => g = 25 + 15

    => g = 40

    Therefore, the number of boys = 50 and girls = 40

    • Tags: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO

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