Arithmetic - Mixture, Alligation, Removal & Replacement - Previous Year CAT/MBA Questions
You can practice all previous year OMET questions from the topic Arithmetic - Mixture, Alligation, Removal & Replacement. This will help you understand the type of questions asked in OMET. It would be best if you clear your concepts before you practice previous year OMET questions.
A mixture comprises water and liquids A and B. The volume of water is 1/3rd of the total mixture and the volume of liquids A and B are in the ratio 5:3. To remove the water, the mixture is passed through a porous medium which completely absorbs the water and partially absorbs liquid A. Altogether this porous medium absorbs 200 ml of the initial mixture. If the ratio of volume of liquids A and B in the residual concentrated mixture becomes 7:9 then find the volume of water absorbed by the porous medium.
- A.
60 ml
- B.
200/3 ml
- C.
80 ml
- D.
100 ml
- E.
120 ml
Solution
Ask Your Doubt
ReportA pharmaceutical company produces two chemicals X and Y, such that X consists of 5% salt A and 10% salt B and Y consists of 10% salt A and 6% salt B. For producing the chemicals X and Y, the company requires at least 7 gm of Salt A and at least 7 gm of salt B. If chemicals X costs Rs. 10.50 per gm and chemical Y costs Rs. 7.80 per gm, what is the minimum cost at which the company can meet the requirement by using a combination of both types of chemicals?
- A.
Rs. 810
- B.
Rs. 850
- C.
Rs. 537
- D.
None
The Drizzle Pvt. Ltd., a squash company has 2 cans of juice. The first contains 25% water and the rest is fruit pulp. The second contains 50% water and rest is fruit pulp. How much juice should be mixed from each of the containers so as to get 12 litres of juice such that the ratio of water to fruit pulp is 3 : 5?
- A.
6 litres, 6 litres
- B.
4 litres, 8 litres
- C.
5 litres, 7 litres
- D.
9 litres, 3 litres
There are two alloys P and Q made up of silver, copper and aluminium. Alloy P contains 45% silver and rest aluminum. Alloy Q contains 30% silver, 35% copper and rest aluminium. Alloys P and Q are mixed in the ratio of 1:4.5. The approximate percentages of silver and copper in the newly formed alloy is:
- A.
33% and 29%
- B.
29% and 26%
- C.
35% and 30%
- D.
None of the above
Product M is produced by mixing chemical X and chemical Y in the ratio of 5 : 4. Chemical X is prepared by mixing two raw materials, A and B, in the ratio of 1 : 3. Chemical Y is prepared by mixing raw materials, B and C, in the ratio of 2 : 1. Then the final mixture is prepared by mixing 864 units of product M with water. If the concentration of the raw material B in the final mixture is 50%, how much water had been added to product M?
- A.
328 units
- B.
368 units
- C.
392 units
- D.
392 units
- E.
616 units
Gopal sells fruit juice mixture using orange juice and pineapple juice. Gopal prepares this mixture by drawing out a jug of orange juice from a 10 litre container filled with orange juice, and replacing it with pineapple juice. If Gopal draws out another jug of the resultant mixture and replaces it with pineapple juice, the container will have equal volumes of orange juice and pineapple juice. The volume of the jug in litres, is
- A.
2
- B.
>2 and ≤2.5
- C.
2.5
- D.
>2.5 and ≤3
- E.
≥3
A medical practitioner has created different potencies of a commonly used medicine by dissolving tables in water and using the resultant solution.
Potency 1 solution: When 1 tablet is dissolved in 50 ml, the entire 50 ml is equivalent to one dose.Potency 2 solution: When 2 tablets are dissolved in 50 ml, the entire 50 ml of this solution is equivalent to 2 doses,… and so on.
This way he can give fractions of tablets based on the intensity of infection and the age of the patient.
For particular patient, he administers 10 ml of potency 1, 15 ml of potency 2 and 30 ml of potency 4. The dosage administered to the patient is equivalent to
- A.
> 2 and ≤ 3 tablets
- B.
> 3 and ≤ 3.25 tablets
- C.
> 3.25 and ≤ 3.5 tablets
- D.
> 3.5 and ≤ 3.75 tablets
- E.
> 3.75 and ≤ 4 tablets
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?
- A.
5
- B.
9
- C.
10
- D.
12
- E.
15