NCHMCT JEE 2018 Question Paper with solutions for online practice

Question : 10 of 200

Marks: +1, -0

Three utensils contain equal mixtures of milk and water in the ratio 6 : 1, 5 : 2, and 3 : 1 respectively. If all the solutions are mixed together, find the ratio of milk and water in the final mixture.

65 : 19
2 : 1
4 : 3
45 : 23

Validate

Solution:

Amount of milk in the final mixture

={6}/{7}+{5}/{7}+{3}/{4} ={24+20+21}/{28}

={65}/{28}

Amount of water in the final mixture

=\;{1}/{7}+\;{2}/{7}+\;{1}/{4}

=\;{4+8+7}/{28}=\;{19}/{28}

Ratio of milk and water

={65/28}/{19/28}

=65/28×28/19=65/19

Hence, required ratio = 65 : 19

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