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Home Aptitude Decimal Fraction See What Others Are Saying!
  • Question
  • A, B, C and D purchase a gift worth ? 60. A pays 1/2 of what others are paying, B pays 1/3rd of what other are paying and C pays 1/4th of what others are paying. What is the amount paid by D?


  • Options
  • A. 14
  • B. 15
  • C. 16
  • D. 13

  • Correct Answer
  • 13 

    Explanation

    Let A, B, C and D pay ?x, ?y, ?z and ?a
    According to the question,
    x = 1/2(y + z + a)
    2x = (y + z + a) ..........(i)
    y = 1/3(x + z + a)
    3y = (x + z + a) ...........(ii)
    z = 1/4(x + y + a)
    4z = (x + y + a) ..........(iii)
    Also, x + y + z + a = 60 ...............(iv)
    Now, put the value of x + y + a = 4z from (iii) in (iv)
    Then, 4z + z = 60 ? 5z = 60
    ? z = 12
    Similarly, on putting the value of x + z + a = 3y from (ii) in (iv), we get
    3y + y = 60 = ? 4y = 60
    ? y = 15
    Again, on putting the value of (y + z + a) = 2x from (i) in (iv), we get
    2x + x = 60 ? 3x = 60
    &ther4; x = 20
    Now, x + y + z + a = 60
    On putting the value of x, y and z, we get
    12 + 15 + 20 + a = 60
    ? a = 60 - 47 = ? 13


  • More questions

    • 1. 
      The product of two consecutive odd numbers is 19043. Which is the smaller one?

    • Options
    • A. 137
    • B. 131
    • C. 133
    • D. 129
    • Discuss
    • 2. 
      The angle of elevation of the top of a hill from each of the vertices A, B, C of a horizontal triangle is ?. The height of the hill is :

    • Options
    • A. b tan ? cosec B
    • B. a tan ? cosec A 2
    • C. c tan ? cosec C 2
    • D. None of these
    • Discuss
    • 3. 
      From a point on a circular tract 5 Km long A, B and C started running in the same direction at the same time with speeds of 2 1? 2 Km/h, 3 Km/h and 2 Km/h. respectively. Then on the starting point all three will meet again after :

    • Options
    • A. 30 hours
    • B. 6 hours
    • C. 10 hours
    • D. 15 hours
    • Discuss
    • 4. 
      The radius of the wheel of a vehicle is 70 cm. The wheel makes 10 revolutions in 5 seconds. The speed of the vehicle is?

    • Options
    • A. 29.46 km/hr.
    • B. 31.68 km/hr.
    • C. 36.25 km/hr.
    • D. 32.72 km/hr.
    • Discuss
    • 5. 
      A library has two books each having three copies and three other books each having two copies. In how many ways can all these books be arranged in a shelf so that copies of the same book are not separated?

    • Options
    • A. 120
    • B. 180
    • C. 160
    • D. 140
    • Discuss
    • 6. 
      Find the LCM of 1/3, 2/9, 5/6 and 4/27.

    • Options
    • A. 1/54
    • B. 10/27
    • C. 20/3
    • D. 3/20
    • Discuss
    • 7. 
      A runs 1 3? 8 times as fast as B. If A gives B a start of 120 m and they reach the goal at the same time, the goal is at a distance of:

    • Options
    • A. 360 m
    • B. 440 m
    • C. 460 m
    • D. 380 m
    • Discuss
    • 8. 
      124.35 % 8096 =?

    • Options
    • A. 2000
    • B. 10000
    • C. 1000
    • D. 12000
    • Discuss
    • 9. 
      Given that log 10 2 = 0.3010 the value of log 10 5 is?

    • Options
    • A. 0.3241
    • B. 0.6911
    • C. 0.6990
    • D. 0.7525
    • Discuss
    • 10. 
      In a month of 31 days, third Thursday falls on 16th. What will be the last day of the month?

    • Options
    • A. 5th Friday
    • B. 4th Saterday
    • C. 5th Wednesday
    • D. 5th Thirsday
    • Discuss


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