Ratio, Proportion and Variation
CDS Maths. Try each one first, then open its answer.
Top 10 CDS PYQs to practise first
The questions and kinds of question asked most often come first. Each one says how often and in which papers.
Question 1
This type asked 7 times: CDS 1 2020, CDS 2 2020, CDS 1 2021, CDS 2 2022, CDS 2 2023, CDS 1 2024, CDS 1 2026. This one: CDS 1 2026 See all 7 of this type
13If x varies directly as y, then which of the following is/are correct ? I. varies directly as . II. varies directly as y. Select the answer using the code given below :Tap an option to check your answer.
Question 2
This type asked 6 times: CDS 1 2017, CDS 2 2019, CDS 1 2023, CDS 2 2023, CDS 1 2024, CDS 1 2025. This one: CDS 1 2025 See all 6 of this type
45The ratio of sum of two numbers to their difference is . What is the ratio of the sum of their squares to the difference of their squares ?Tap an option to check your answer.
Question 3
This type asked 4 times: CDS 1 2017, CDS 2 2022, CDS 2 2023, CDS 2 2025. This one: CDS 2 2025 See all 4 of this type
55and are two alloys of copper (Cu) and zinc (Zn). Alloy is prepared by mixing Cu and Zn in the ratio , and alloy is prepared by mixing Cu and Zn in the ratio respectively. If equal quantities of alloys and are melted to form a third alloy , then what is the ratio of Cu to Zn in ?Tap an option to check your answer.
Question 4
This type asked 4 times: CDS 1 2019, CDS 2 2020, CDS 2 2023, CDS 2 2024. This one: CDS 2 2024 See all 4 of this type
6varies directly as . When , , , then . What is the value of when , , ?Tap an option to check your answer.
Question 5
This type asked 4 times: CDS 2 2016, CDS 1 2019, CDS 1 2021, CDS 2 2024. This one: CDS 2 2024 See all 4 of this type
66A question is given followed by two statements I and II. Consider the Question and the Statements and mark the correct option. Question : The ratio of 's salary to 's salary is . How much is 's expenditure ? Statement-I : The ratio of 's saving to 's saving is Statement-II : The ratio of 's expenditure to 's expenditure is Which one of the following is correct in respect of the above Question and the Statements ?Tap an option to check your answer.
Question 6
This type asked 4 times: CDS 2 2017, CDS 1 2018, CDS 1 2020, CDS 2 2022. This one: CDS 2 2022 See all 4 of this type
31If , , , then what is equal to ?Tap an option to check your answer.
Question 7
This type asked 4 times: CDS 2 2019, CDS 2 2020, CDS 2 2021, CDS 2 2022. This one: CDS 2 2022 See all 4 of this type
2If where , then which one of the following is correct ?Tap an option to check your answer.
Question 8
This type asked 3 times: CDS 1 2024, CDS 2 2024, CDS 2 2026. This one: CDS 2 2026 See all 3 of this type
25An 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.
Question 9
This type asked 3 times: CDS 1 2018, CDS 1 2021, CDS 1 2025. This one: CDS 1 2025 See all 3 of this type
10A mixture of 100 L contains kerosene and turpentine oil in the ratio 3 : 2. What is the minimum quantity of kerosene in litres (whole number) that should be mixed in the mixture so that the resulting mixture has 20% of kerosene ?Tap an option to check your answer.
Question 10
Asked 2 times: CDS 2 2016*, CDS 1 2023 (* = numbers or wording changed that year) See all 2 times it was asked
6A, B, C, D and E enter into a business. They invest money in the ratio 2 : 3 : 4 : 5 : 6. However, the time invested by them is in the ratio 6 : 5 : 4 : 3 : 2. If the profit distributed is directly proportional to time and money invested, then who receives the highest amount of profit?Tap an option to check your answer.