logo

CuriousTab

CuriousTab

Discussion


Home Aptitude Linear Equation See What Others Are Saying!
  • Question
  • In the certain party, there was a bowl of rice for every two guests , a bowl of juice for every three of them and a bowl of meat for every four of them. If there were all 65 bowls of food , then how many guests were there in the party?


  • Options
  • A. 65
  • B. 24
  • C. 60
  • D. 48

  • Correct Answer
  • 60 

    Explanation

    Let the number of rice bowls be a, the number of juice bowls be b, and the number of meat bowls be c.
    According to question,
    a + b + c = 65........................(1)
    The total number of guests = 2a
    The total number of guests = 3b
    The total number of guests = 4c
    So the total number of guests will be same in the party.
    2a = 3b = 4c..........................(2)
    As per Equation (2)
    b = 2a/3................................(3)
    c = 2a/4 = a/2......................(4)
    Now put the value of b and c from Equation (3), (4) in Equation (1),
    a + 2a/3 + a/2 = 65
    (6a + 4a + 3a)/6 = 65
    13a = 65 x 6
    a = 5 x 6 = 30
    Put the value of a in equation (3) and (4) in order to get the value of b and c,
    b = 2 x 30/3 = 2 x 10 = 20
    c = 30/2 = 15

    The Total number of Guests = 2a = 3b = 4c = 60


  • More questions

    • 1. 
      The median for the data 2, 4, 6, 8, 10, 12, 14 is

    • Options
    • A. 6
    • B. 8
    • C. 9.5
    • D. 10
    • Discuss
    • 2. 
      The value of 47 / 10000 is?

    • Options
    • A. .0047
    • B. .0470
    • C. .00047
    • D. .000047
    • Discuss
    • 3. If 4x = 18y, then the value of ( x/y - 1) is

    • Options
    • A. 1 3
    • B. 7 2
    • C. 2 3
    • D. 3 2
    • Discuss
    • 4. 
      If the price of 23 toys is Rs. 276, then what will the price (Rs.) of 12 toys?

    • Options
    • A. 144
    • B. 158
    • C. 159
    • D. 166
    • Discuss
    • 5. 
      .02 =(......?.....)%

    • Options
    • A. 20
    • B. 2
    • C. .02
    • D. .2
    • Discuss
    • 6. 
      If 36 men can do a piece of work in 25 hours, in how many hours will 15 men do it?

    • Options
    • A. 45
    • B. 55
    • C. 60
    • D. 72
    • Discuss
    • 7. 
      2?63 / 11 =233

    • Options
    • A. 4
    • B. 3
    • C. 6
    • D. 5
    • Discuss
    • 8. 
      When 121012 is divided by 12, the remainder is

    • Options
    • A. 0
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 9. 
      Aarti can do a piece of work in 6 days. In how many days will she complete three time of work of same type?

    • Options
    • A. 18 days
    • B. 21 days
    • C. 3 days
    • D. 6 days
    • Discuss
    • 10. 
      750.0003 ÷ 19.999 =?

    • Options
    • A. 49
    • B. 18
    • C. 22
    • D. 38
    • Discuss


    Comments

    There are no comments.

Enter a new Comment