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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.


  • Arithmetic Reasoning problems


    Search Results


    • 1. In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?

    • Options
    • A. 18
    • B. 36
    • C. 45
    • D. None of these
    • Discuss
    • 2. Ayush was born two years after his father's marriage. His mother is five years younger than his father but 20 years older than Ayush who is 10 years old. At what age did the father get married ?

    • Options
    • A. 23 years
    • B. 25 years
    • C. 33 years
    • D. 35 years
    • Discuss
    • 3. Today is Varun's birthday. One year, from today he will be twice as old as he was 12 years ago. How old is Varun today ?

    • Options
    • A. 20 years
    • B. 22 years
    • C. 25 years
    • D. 27 years
    • Discuss
    • 4. A tailor had a number of shirt pieces to cut from a roll of fabric. He cut each roll of equal length into 10 pieces. He cut at the rate of 45 cuts a minute. How many rolls would be cut in 24 minutes ?

    • Options
    • A. 32 rolls
    • B. 54 rolls
    • C. 108 rolls
    • D. 120 rolls
    • Discuss
    • 5. Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?

    • Options
    • A. Rs. 4, Rs. 23
    • B. Rs. 13, Rs. 17
    • C. Rs. 15, Rs. 14
    • D. Rs. 17, Rs. 13
    • Discuss
    • 6. What is the product of all the numbers in the dial of a telephone ?

    • Options
    • A. 1,58,480
    • B. 1,59,450
    • C. 1,59,480
    • D. None of these
    • Discuss
    • 7. The sum of three consecutive multiples of 3 is 72. What is the second largest number ?

    • Options
    • A. 27
    • B. 24
    • C. 21
    • D. 42
    • Discuss
    • 8. A, B, C, D and E play a game of cards. A says to B, "If you give me 3 cards, you will have as many as I have at this moment while if D takes 5 cards from you, he will have as many as E has." A and C together have twice as many cards as E has. B and D together also have the same number of cards as A and C taken together. If together they have 150 cards, how many cards has C got ?

    • Options
    • A. 28
    • B. 29
    • C. 31
    • D. 35
    • Discuss
    • 9. Ravi's brother is 3 years senior to him. His father was 28 years of age when his sister was born while his mother was 26 years of age when he was born. If his sister was 4 years of age when his brother was born, what were the ages of Ravi's father and mother respectively when his brother was born ?

    • Options
    • A. 32 years, 23 years
    • B. 32 years, 29 years
    • C. 35 years, 29 years
    • D. 35 years, 33 years
    • Discuss
    • 10. 7 is to 34 as 5 is to

    • Options
    • A. 33
    • B. 24
    • C. 54
    • D. 41
    • Discuss


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