CAT Ratio, Proportion, Variation & Partnership Questions

Ratios compare quantities, proportions equate ratios, and variation describes how quantities change together. Partnership problems distribute returns using the capital and time contributed.

Loading question count…

Key concepts

Common multipliers and combined ratios
Direct and inverse variation
Capital × time in partnership

CAT ratio, proportion, variation & partnership practice questions

Loading questions…

Practise Free Tests on InsideIIM

Common mistakes

Combining ratios without equalising their common quantity.
Ignoring different investment durations in a partnership.

Practical solving approaches

Express ratio quantities as multiples of a common variable.
Identify what stays constant in variation and calculate capital-time contributions separately for each period.

Ratio, Proportion, Variation & Partnership FAQs

How are partnership profits divided?: When the problem specifies proportional sharing, use each partner's capital multiplied by the time it was invested, accounting for changes during the period.

Loading practice data…

CAT ratio, proportion, variation & partnership practice questions

Question 1Type in the answerEASY

Type in your answer in the input box provided below the question.

Answer the questions independently of each other.

Irfan Pathan opened a restaurant at Treasure Island Mall in Indore by investing Rs.3 crore. After a few months his brother Yusuf Pathan joined him by investing Rs.2 crore. At the end of the year Yusuf got Rs.800000 as his share from a total profit of Rs.2600000. After how many months did Yusuf joined the business?

Question 2Multiple choiceEASY

Select the correct alternative from the given choices.

The sum of two numbers is 84. If the two numbers are in the ratio 4 : 3, find the two numbers

Question 3Multiple choiceMEDIUM

Select the correct alternative from the given choices.

If 4a=3b,find (7a+9b):(4a+5b).

Question 4Multiple choiceEASY

Select the correct alternative from the given choices.

The number of red balls and green balls in a bag are in the ratio 16 : 7. If there are 45 more red balls than green balls, find the number of green balls in the bag.

Question 5Type in the answerMEDIUM

Type in your answer in the input box provided below the question.

What least number must be added to each of a pair of numbers which are in the ratio 7 : 16 so that the ratio between the terms becomes 13 : 22?

Question 6Multiple choiceMEDIUM

Select the correct alternative from the given choices.

Ram has four times as much money with him as Shyam does. Each day, Ram spends a constant amount of money while Shyam earns a fourth of the amount that Ram spends. After 10 days, the ratio of the amounts with Ram and Shyam is 12:13. After how many more days will the ratio of the amounts with them be 4:31 ?

Question 7Type in the answerEASY

Type in your answer in the input box provided below the question.

A part of the monthly expenses of Amar, a marketing executive are fixed and the remaining part varies with the distance travelled by him. If he travels 200 km in a month, his total expenditure is `3300. If he travels 500 km in a month, his total expenditure is `3900. Find his total expenditure, if he travels 800 km in a month.

Question 8Multiple choiceHARD

Select the correct alternative from the given choices.

There are five identical glasses containing milk in the ratio 3:4:5:6:7.How many glasses are at least half full of milk if the total volume of milk in the glasses is three-fifth of the total volume of the five glasses?

 

Question 9Multiple choiceMEDIUM

Select the correct alternative from the given choices.

A quantity p equals the sum of three other quantities, the first of which is a constant, the second varies directly as x and the third varies directly as x square. When x=1;p=13,when x=2,p=36 and when x=3, p = 79. Find the constant.

Question 10Multiple choiceHARD

Select the correct alternative from the given choices.

A, B and C have a few coins with them. 7 times the number of coins that A has is equal to 5 times the number of coins B has while 6 times the number of coins B has is equal to 11 times the number of coins C has. What is the minimum number of coins with A, B and C put together?

Question 11Multiple choiceMEDIUM

Select the correct alternative from the given choices

An Arab flying on his magic carpet finds that the speed with which his carpet moves varies directly as the carpet\'s
altitude and inversely as the amount of gold on it. At a certain altitude and with a certain amount of gold on the
carpet, the speed is 50 m/s. What will be the speed of the carpet(in m/s), if the Arab halves the altitude and doubles the
weight of gold on the carpet?

Question 12Type in the answerMEDIUM

Enter your response (as an integer) using the virtual keyboard in the box provided.

The refractive index of a medium is directly proportional to the square root of the thickness of the medium and inversely
proportional to the square root of the viscosity of the medium. If the refractive index of honey is 3, when its viscosity is 4 and thickness is 9 inches, then what is the refractive index of milk with a viscosity of 16 and thickness of 64 inches?

CAT Ratio, Proportion, Variation & Partnership Questions

Ratios compare quantities, proportions equate ratios, and variation describes how quantities change together. Partnership problems distribute returns using the capital and time contributed.

Loading question count…

Key concepts

Common multipliers and combined ratios
Direct and inverse variation
Capital × time in partnership

CAT ratio, proportion, variation & partnership practice questions

Loading questions…

Practise Free Tests on InsideIIM

Common mistakes

Combining ratios without equalising their common quantity.
Ignoring different investment durations in a partnership.

Practical solving approaches

Express ratio quantities as multiples of a common variable.
Identify what stays constant in variation and calculate capital-time contributions separately for each period.

Ratio, Proportion, Variation & Partnership FAQs

How are partnership profits divided?: When the problem specifies proportional sharing, use each partner's capital multiplied by the time it was invested, accounting for changes during the period.

Loading practice data…

CAT ratio, proportion, variation & partnership practice questions

Question 1Type in the answerEASY

Type in your answer in the input box provided below the question.

Answer the questions independently of each other.

Question 2Multiple choiceEASY

Select the correct alternative from the given choices.

The sum of two numbers is 84. If the two numbers are in the ratio 4 : 3, find the two numbers

Question 3Multiple choiceMEDIUM

Select the correct alternative from the given choices.

If 4a=3b,find (7a+9b):(4a+5b).

Question 4Multiple choiceEASY

Select the correct alternative from the given choices.

The number of red balls and green balls in a bag are in the ratio 16 : 7. If there are 45 more red balls than green balls, find the number of green balls in the bag.

Question 5Type in the answerMEDIUM

Type in your answer in the input box provided below the question.

What least number must be added to each of a pair of numbers which are in the ratio 7 : 16 so that the ratio between the terms becomes 13 : 22?

Question 6Multiple choiceMEDIUM

Select the correct alternative from the given choices.

Question 7Type in the answerEASY

Type in your answer in the input box provided below the question.

Question 8Multiple choiceHARD

Select the correct alternative from the given choices.

Question 9Multiple choiceMEDIUM

Select the correct alternative from the given choices.

Question 10Multiple choiceHARD

Select the correct alternative from the given choices.

Question 11Multiple choiceMEDIUM

Select the correct alternative from the given choices

Question 12Type in the answerMEDIUM

Enter your response (as an integer) using the virtual keyboard in the box provided.

Closing Soon (Grouped by Employer)

Featured Competitions

CAT Ratio, Proportion, Variation & Partnership Questions

Key concepts

CAT ratio, proportion, variation & partnership practice questions

Common mistakes

Practical solving approaches

Ratio, Proportion, Variation & Partnership FAQs

CAT Ratio, Proportion, Variation & Partnership Questions

Key concepts

CAT ratio, proportion, variation & partnership practice questions

Common mistakes

Practical solving approaches

Ratio, Proportion, Variation & Partnership FAQs

More Arithmetic practice

CAT Ratio, Proportion, Variation & Partnership Questions

Key concepts

CAT ratio, proportion, variation & partnership practice questions

Common mistakes

Practical solving approaches

Ratio, Proportion, Variation & Partnership FAQs

CAT Ratio, Proportion, Variation & Partnership Questions

Key concepts

CAT ratio, proportion, variation & partnership practice questions

Common mistakes

Practical solving approaches

Ratio, Proportion, Variation & Partnership FAQs

More Arithmetic practice