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Home Aptitude Alligation or Mixture See What Others Are Saying!
  • Question
  • A can contains a mixture of two liquids A and B is the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?


  • Options
  • A. 10
  • B. 20
  • C. 21
  • D. 25

  • Correct Answer
  • 21 

    Explanation
    Suppose the can initially contains 7x and 5x of mixtures A and B respectively.

    Quantity of A in mixture left = 7x - 7 x 9 litres = 7x - 21 ❩ litres.
    12 4

    Quantity of B in mixture left = 5x - 5 x 9 litres = 5x - 15 ❩ litres.
    12 4

    7x - 21
    4
    = 7
    5x - 15 ❩ + 9
    4
    9

    28x - 21 = 7
    20x + 21 9

    ⟹ 252x - 189 = 140x + 147

    ⟹ 112x = 336

    x = 3.

    So, the can contained 21 litres of A.


    More questions

    • 1. The sum of three numbers is 252. If the first number is thrice the second and third number is two-third of the first, then the second number is

    • Options
    • A. 41
    • B. 21
    • C. 42
    • D. 84
    • Discuss
    • 2. The sum of squares of three positive integers is 323. If the sum of squares of two numbers is twice the third, their product is

    • Options
    • A. 255
    • B. 260
    • C. 265
    • D. 270
    • Discuss
    • 3. If the sum of squares of two real numbers is 41 and their sum is 9. Then the sum of cubes of these two numbers is

    • Options
    • A. 169
    • B. 209
    • C. 189
    • D. 198
    • Discuss
    • 4. If x+y+z = 1, 1/x + 1/y + 1/z = 1 and xyz = -1, then x3+y3+z3 is equal to

    • Options
    • A. -1
    • B. 1
    • C. -2
    • D. 2
    • Discuss
    • 5. Twenty one times of a positive number is less than its square by 100. The value of the positive number is

    • Options
    • A. 25
    • B. 26
    • C. 42
    • D. 41
    • Discuss
    • 6. In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?

    • Options
    • A. 209
    • B. 290
    • C. 200
    • D. 208
    • Discuss
    • 7. The product of two numbers is 48. If one number equals "The number of wings of a bird plus 2 times the number of fingers on your hand divided by the number of wheels of a Tricycle". Then the other number is

    • Options
    • A. 9
    • B. 10
    • C. 12
    • D. 18
    • Discuss
    • 8. Two numbers whose sum is 84 can not be in the ratio

    • Options
    • A. 5:7
    • B. 13:8
    • C. 1:3
    • D. 3:2
    • Discuss
    • 9. If (x+1/x) = 5, then the value of 5xx2+5x+1 ?

    • Options
    • A. 1/3
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    • C. 1/2
    • D. 1/5
    • Discuss
    • 10. How many natural numbers are there between 1000 to 2000, which when divided by 341 leaves remainder 5?

    • Options
    • A. 3
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    • C. 4
    • D. 1
    • Discuss


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