Ratio and Proportion Questions for CUET UG GAT 2026 – Formulas, Tricks, MCQs with Solutions
Introduction to Ratio and Proportion
Ratio and Proportion Questions for CUET UG GAT 2026: Ratio and Proportion is one of the most important topics in the Quantitative Aptitude section of CUET UG GAT 2026. Questions from this topic are frequently asked because they test a student’s ability to compare quantities, analyze relationships, and solve real-life mathematical problems quickly.
If you master Ratio and Proportion, you can easily score 10-15 marks in the exam with high accuracy and minimum time.
In this complete guide, you will learn:
- What is Ratio and Proportion
- Important formulas
- Short tricks to solve questions faster
- Common patterns of questions
- Original MCQs with answers and solutions
- Why Ratio and Proportion is important for CUET 2026
- FAQs and exam tips
This article is specially designed for CUET UG GAT 2026 aspirants to help them achieve a high score in Mathematics.
What is Ratio?
A ratio is a comparison of two quantities of the same kind using division.
Formula of Ratio
Ratio = a : b
or
Ratio = a / b
Example:
If A has 10 apples and B has 5 apples
Ratio of apples =
10 : 5
= 2 : 1
What is Proportion?
A proportion is an equation that shows two ratios are equal.
Formula of Proportion
a : b = c : d
or
a / b = c / d
Cross multiplication rule:
a × d = b × c
Example:
2 : 3 = 4 : 6
2 × 6 = 3 × 4
12 = 12
So, the ratios are in proportion.
Important Formulas of Ratio and Proportion
- Ratio Formula
a : b = a / b - Proportion Formula
a : b = c : d - Mean Proportional
Mean Proportional = √(ab)
- Third Proportional
Third Proportional = b² / a
- Fourth Proportional
Fourth Proportional = (b × c) / a
- Compound Ratio
(a : b) × (c : d) = ac : bd
Short Tricks to Solve Ratio and Proportion Questions
Trick 1 — Cross Multiplication Method
If
a : b = c : d
Then
a × d = b × c
This is the fastest method to check proportion.
Trick 2 — Convert Ratio into Fractions
Example:
2 : 5
Convert into fraction:
2 / 5
This makes calculation easier.
Trick 3 — Use LCM Method
When ratios contain fractions:
1/2 : 3/4
Take LCM of denominators:
LCM = 4
Multiply both:
2 : 3
Trick 4 — Direct Proportion Rule
If one quantity increases, the other also increases.
Example:
More workers → More work
Common Patterns of Ratio and Proportion Questions in CUET
These patterns are frequently asked in CUET UG GAT:
- Simplifying ratios
- Finding missing numbers
- Dividing quantities in a given ratio
- Age problems
- Partnership problems
- Speed and distance problems
- Mixture problems
- Direct and inverse proportion
You should practice all these patterns regularly.
Why Ratio and Proportion MCQs are Important for CUET UG GAT 2026
Ratio and Proportion questions are important because:
- High scoring topic
- Easy to understand
- Frequently asked in exams
- Improves calculation speed
- Used in many other topics
- Saves exam time
- Builds strong mathematical foundation
Expected Questions in CUET UG GAT 2026:
2 to 3 questions
Difficulty Level:
Easy to Moderate
Ratio and Proportion MCQs with Answers and Step by Step Solutions
Q 4336) The present ages of A, B, and C are in the proportions 6 : 7 : 8.
Five years ago, the sum of their ages was 48 years.
Find out their present ages in years.
(A) 12, 14, and 16
(B) 24, 28, and 32
(C) 18, 20, and 22
(D) 18, 21, and 24
Answer: (D) 18, 21, and 24
Step-by-Step Explanation:
Supposethe present ages of A, B, and Care respectively 6q years, 7q years and and 8q years.
Five years ago their ages were:
6q – 5 years, 7q – 5 years and and 8q – 5 years.
According to the question,
(6q – 5 years, 7q – 5 years and and 8q – 5 years) = 48
21q – 15 = 48
21q = 48 + 15
Therefore, q = 63 / 21 = 3
Now, the current age of the A = 6q
= 6 x 3 = 18 years,
the current age of the B = 7q
= 7 x 3 = 21 years, and
the current age of the C = 8q
= 8 x 3 = 24 years
Q 4337) If the ratio of the areas of two squares is 16 : 1, then the ratio of their perimeters is-
(A) 2 : 3
(B) 2 : 4
(C) 4 : 1
(D) 4 : 2
Answer: (C) 4 : 1
Step-by-Step Explanation:
Area of square = (Side)²
Perimeter of square = 4 x Sides
Ratio of the sides of two squares = 4 : 1
Ratio of the perimeters of two squares = 16 : 4
= 4 : 1
Q 4338) The heights of three towers are in the ratio 5 : 6 : 7. If a monkey takes 21 minutes to climb the highest tower, how much time will it take to climb the smallest one?
(A) 10 minutes
(B) 12 minutes
(C) 15 minutes
(D) 18 minutes
Answer: (C) 15 minutes
Step-by-Step Explanation:
Monkey climbs 7 units height in 21 minutes.
Therefore, mpnkey will climb 1 unit 21 / 7 = 3 minutes.
Therefore, mpnkey will climb 5 units 5 x 3 = 15 minutes.
Q 4339) The ratio of two numbers is 4 : 5 and their LCM is 400. Then the numbers would be-
(A) 60 and 80
(B) 80 and 100
(C) 100 and 120
(D) 120 and 140
Answer: (B) 80 and 100
Step-by-Step Explanation:
Suppose the numbers are 4q and 5q respectively.
According to the question,
4q x 5q = 400
Therefore, 20q = 400
q = 400 / 20
q = 20
Number 4q = 4 x 20 = 80, and
5q = 5 x 20 = 100
Q 4340) The present ages of mother and son are in the ratio of 5 : 1 respectively. Seven years later this ratio becomes 3 : 1. What is the son’s present age in years?
(A) 5 years
(B) 7 years
(C) 9 years
(D) 11 years
Answer: (B) 7 years
Step-by-Step Explanation:
Suppose the present ages of son be q years.
Therefore, the present ages of mother would be 5q years.
According to the question,
5q + 7 / q + 7 = 3 / 1 or, 5q + 7 = 3q + 21
5q – 3q = 21 – 7
2q = 14
q = 7 years
Son’s present age is 7 years
FAQs — Ratio and Proportion for CUET UG GAT 2026
Q1 — Is Ratio and Proportion important for CUET UG GAT 2026?
Yes.
It is one of the most important and scoring topics in the Mathematics section.
Q2 — How many questions come from Ratio and Proportion in CUET?
Usually: 2 to 3 questions
Q3 — Are Ratio and Proportion questions easy?
Yes.
Most questions are easy to moderate level.
Q4 — What is the fastest method to solve proportion?
Cross multiplication method.
Q5 — Can I skip this topic in CUET preparation?
No.
This topic is fundamental and used in many other chapters.
Conclusion
Ratio and Proportion is a high-scoring and essential topic for CUET UG GAT 2026 preparation. By understanding formulas, practicing common patterns, and applying short tricks, you can solve questions quickly and accurately in the exam.
Regular practice of MCQs and revision of formulas will help you improve speed, accuracy, and confidence in the Mathematics section.
Master this topic to secure better marks in CUET UG GAT 2026.
Related Internal Linking
General Test-28/05/2024
Percentage – Complete Guide for CUET UG GAT 2026
CUET UG 2026 Reasoning Puzzle Practice – Find the Missing Number Questions with Answers
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About the Author
Vimal Kumar Tulsyan is the Founder of CUET NOW, an educational platform focused on CUET UG preparation. He has more than 10 years of teaching experience in Reasoning and General Aptitude.
His mission is to make CUET preparation simple, reliable, and accessible for every student.
This is one of the best explanations of **Ratio and Proportion** I have found for CUET preparation. The concepts are explained in a very simple and student-friendly way, making it easier to understand even difficult questions.
The solved examples, short tricks, and practice MCQs are especially helpful for improving speed and accuracy in competitive exams like **CUET, SSC, Banking, and other aptitude tests**. I also liked how the article covers the basic definition, formulas, and real exam-level questions in a structured manner.
If you are preparing for any competitive exam, this **Ratio and Proportion** guide is definitely worth reading and practicing regularly. Highly recommended for students who want to strengthen their quantitative aptitude fundamentals and score higher marks in exams.
Thank you **CUETNOW.com** for providing such high-quality and reliable study material for students.