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Home Aptitude Permutation and Combination See What Others Are Saying!
  • Question
  • Jay wants to buy a total of 100 plants using exactly a sum of Rs 1000. He can buy Rose plants at Rs 20 per plant or marigold or Sun flower plants at Rs 5 and Re 1 per plant respectively. If he has to buy at least one of each plant and cannot buy any other type of plants, then in how many distinct ways can Jay make his purchase?


  • Options
  • A. 3
  • B. 6
  • C. 4
  • D. 2

  • Correct Answer


  • Explanation

    Let the number of Rose plants be ?a?.
    Let number of marigold plants be ?b?.
    Let the number of Sunflower plants be ?c?.
    20a+5b+1c=1000; a+b+c=100

     

    Solving the above two equations by eliminating c,
    19a+4b=900

    b = (900-19a)/4 

    b = 225 - 19a/4----------(1)


    b being the number of plants, is a positive integer, and is less than 99, as each of the other two types have at least one plant in the combination i.e .:0 < b < 99--------(2)

    Substituting (1) in (2),

     0 < 225 - 19a/4 < 99

    225 <  -19a/4 < (99 -225)

    => 4 x 225 > 19a > 126 x 4

    => 900/19 > a > 505

     

    a is the integer between 47 and 27 ----------(3)
    From (1), it is clear, a should be multiple of 4.


    Hence possible values of a are (28,32,36,40,44)


    For a=28 and 32, a+b>100
    For all other values of a, we get the desired solution:
    a=36,b=54,c=10
    a=40,b=35,c=25
    a=44,b=16,c=40


    Three solutions are possible.


  • 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


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