alligation and mixtures mcq pdf Model Questions & Answers, Practice Test for ibps rrb so officer sclae 2 3 single exam 2024

Question :1

Ram prepares solutions of alcohol in water according to customers' needs. This morning Ram has prepared 27 litres of a 12% alcohol solution and kept it ready in a 27 litre delivery container to be shipped to the customer. Just before delivery, he finds out that the customer had asked for 27 litres of 21% alcohol solution. To prepare what the customer wants, Ram replaces a portion of 12% solution by 39% solution. How many litres of 12% solution are replaced?

Answer: (c)

Let Ram replaces x litres of 12% sol. with 39% solution.

Now, quality of 12% sol. in 27 litre = ${27 × 12}/100$

∴ After replacing we have volume of 12% sol.

= $({27 × 12}/100 - {12x}/100 + {39x}/100) = {324 + 27x}/100$

This will be equal to 27 litre of 21% sol.

∴ ${324 + 27x}/100 = {21 × 27}/100$

∴ x = ${567 - 324}/27 = 243/27 = 9$

Hence option (b)

Question :2

Two vessels contain mixture of petrol and kerosene in the ratio 4: 3 and 3: 5 respectively. The ratio of the volumes of the quantities from the two vessel to be mixed together so that the new mixture may contain same volume of petrol and kerosene is:

Answer: (d)

alligations-and-mixtures-for-all-competitive-exams-N-72a

Petrol : Kerosene = $1/8 : 1/14$

= 14 : 8 = 7 : 4

Question :3

The ratio in which two sugar solutions of the concentrations 15% and 40% are to be mixed to get a solution of concentration 30% is:

Answer: (d)

According to the question By using Alligation method

alligations and mixtures for all competitive exams N 57a

Question :4

A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is ___________.

Answer: (b)

We will apply alligaton on % profit. If he sells the milk at CP, he gains 0%.

But if he sells water at CP, he gains 100%.

alligations-and-mixtures-for-all-competitive-exams-11L-4a

Ratio of milk to water in the mixture should be 3 : 1

∴ % of water in mixture = $1/{3 + 1}$ × 100 = 25%

Question :5

A mixture of a certain quantity of milk with 16 litres of water is worth 90 Paise per litre. If pure milk be worth Rs. 1.80 per litre. How much milk is the in the mixture?

Answer: (c)

Let the Price of Water = Rs. 0

According to the solution,

CP of Pure Milk = Rs. 1.80

C.P of the Mixture = Rs. 0.90

Now using Alligation method.

alligations-and-mixtures-for-all-competitive-exams-N-60a

Ratio of quantity [16 liters]

ibps rrb so officer sclae 2 3 single exam 2024 IMPORTANT QUESTION AND ANSWERS

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