PYQ Vault

Alligation: mixing ratio, target ratio or one mixture's ratio, given the other two

This type of question, asked 3 times: CDS 1 2024, CDS 2 2024, CDS 2 2026. All 3 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 1 2024

    31
    A bottle contains spirit and water in the ratio 1 : 4 and another identical bottle contains spirit and water in the ratio 4 : 1. In what ratio should the mixtures in the two bottles be mixed to get a new mixture in which the ratio of spirit to water is 1 : 3 ?

    Tap an option to check your answer.

  2. Question 2

    CDS 2 2024

    86
    There are two containers AA and BB. In container AA, the ratio of milk and water is 1:31 : 3 and in container BB, the ratio of milk and water is m:nm : n. If the mixture in the containers AA and BB are mixed in the ratio 2:32 : 3 to get 20 litres of a mixture having milk and water in the ratio 3:73 : 7, then what is the value of mn\frac{m}{n} ?

    Tap an option to check your answer.

  3. Question 3

    CDS 2 2026

    25
    An alloy (X) of gold and silver is taken in the ratio 1 : 2 and another alloy (Y) of gold and silver is taken in the ratio 2 : 3. How many parts of X and Y must be taken to obtain a new alloy Z consisting of gold and silver in the ratio 4 : 7 ?

    Tap an option to check your answer.