CLAT Maths Questions with Solutions PDF 2027 - Quantitative Techniques Questions

What Does The Quantitative Section of CLAT 2027 Cover

The CLAT Quantitative Techniques test the critical thinking of the students appearing for it. Below are the topics covered under the Quantitative Aptitude for CLAT 2027:

• Basic Arithmetic: Percentages, Ratio & Proportion, Profit & Loss, Averages, and Interest.

• Algebra: Simple equations and basic mathematical relationships.

• Number Systems: Factors, Multiples, Prime Numbers, HCF, and LCM.

• Time, Speed & Distance: Average speed, relative speed, and distance-related calculations.

• Time & Work: Efficiency, work rates, and task completion problems.

• Data Interpretation: Analysis of tables, graphs, charts, and numerical data.

• Number-Based Logical Reasoning: Number series, sequences, patterns, and numerical logic.

This portion is intended to assess your aptitude for applying logical thinking and analysing numerical data, two skills that are essential for law study.

You can also check:

• CLAT English Question Papers

• Legal Reasoning Questions For CLAT with Answers

• Criminal Law Questions for CLAT with Answers

• Logical Reasoning Questions for CLAT PDF

• CLAT Maths Questions with Solutions

CLAT 2027 Quantitative Techniques Syllabus Overview

Below is the Detailed Overview for CLAT 2027 Quantitative Techniques Section.

CLAT Maths Questions with Solutions

Let's gain a deeper understanding of the concept by solving CLAT Maths Questions PDF with their solutions. But first, let's look at the CLAT Previous Year Question for the Quantitative Techniques Section with detailed solutions.

Passage 1

According to recent RBI data, the total value of UPI transactions in a particular month was ₹25 lakh crore. Person-to-Merchant (P2M) transactions accounted for 62% of the total value, Person-to-Person (P2P) transactions accounted for 30%, and the remaining transactions belonged to other categories.

Q1. What was the value of P2M transactions?

(A) ₹15.5 lakh crore
(B) ₹16.2 lakh crore
(C) ₹17.5 lakh crore
(D) ₹18 lakh crore

Answer: (A)

Solution: P2M transactions = 62% of ₹25 lakh crore

= (62/100) × 25

= ₹15.5 lakh crore

Q2. What was the combined value of P2P and other transactions?

(A) ₹8.5 lakh crore
(B) ₹9.5 lakh crore
(C) ₹10 lakh crore
(D) ₹12 lakh crore

Answer: (B)

Solution: P2P + Other = 30% + 8% = 38%

38% of ₹25 lakh crore

= (38/100) × 25

= ₹9.5 lakh crore

Q3. If the UPI transaction value grows by 20% next year, what will be the total transaction value?

(A) ₹28 lakh crore
(B) ₹29 lakh crore
(C) ₹30 lakh crore
(D) ₹31 lakh crore

Answer: C

Solution: Increase = 20% of ₹25 lakh crore
= ₹5 lakh crore

New Value = ₹25 + ₹5
= ₹30 lakh crore

Passage 2

India's installed renewable energy capacity reached 240 GW. Solar energy contributed

48%, wind energy 25%, hydro power 20%, and other renewable sources 7%.

Q4. What is the installed solar capacity?

(A) 115.2 GW
(B) 120 GW
(C) 125.4 GW
(D) 130 GW

Answer: (A)

Solution: Solar Capacity = 48% of 240 GW

= (48/100) × 240

= 115.2 GW

Q5. How many GW are contributed by wind and hydro energy together?

(A) 96 GW
(B) 108 GW
(C) 120 GW
(D) 132 GW

Answer: (B)

Solution: Wind + Hydro = 25% + 20% = 45%

45% of 240 GW
= (45/100) × 240
= 108 GW

Q6. If solar capacity increases by 25%, what will be the new solar capacity?

(A) 138 GW
(B) 144 GW
(C) 150 GW
(D) 156 GW

Answer: (B)

Solution: Current Solar Capacity = 115.2 GW

Increase = 25% of 115.2
= 28.8 GW

New Capacity = 115.2 + 28.8
= 144 GW

Passage 3

A survey of 50,000 workers found that 40% worked in services, 35% in manufacturing, and 25% in agriculture. Of those employed in services, 60% were employed in urban areas.

Q7. How many workers were employed in services?

(A) 18,000
(B) 20,000
(C) 22,000
(D) 25,000

Answer: (B)

Solution: Service Workers = 40% of 50,000

= (40/100) × 50,000
= 20,000

Q8. How many service-sector workers were employed in urban areas?

(A) 10,000
(B) 11,000
(C) 12,000
(D) 13,000

Answer: (C)

Solution: Urban Service Workers = 60% of 20,000

= (60/100) × 20,000
= 12,000

Q9. What is the ratio of manufacturing workers to agricultural workers?

(A) 5:3
(B) 7:5
(C) 3:2
(D) 4:3

Answer: (B)

Solution:
Manufacturing = 35%

Agriculture = 25%

Ratio = 35 : 25 = 7 : 5

Passage 4

A city recorded 40,000 registered vehicles. Petrol vehicles constituted 45%, diesel vehicles 25%, electric vehicles 20%, and CNG vehicles 10%.

Q10. How many electric vehicles are registered?

(A) 6,000
(B) 7,000
(C) 8,000
(D) 9,000

Answer: C

Correct Answer: (C) 8,000

Solution: EVs = 20% of 40,000

= (20/100) × 40,000
= 8,000

Q11. What is the difference between petrol and diesel vehicles?

(A) 6,000
(B) 7,000
(C) 8,000
(D) 9,000

Answer: (C)

Solution: Petrol Vehicles = 45% of 40,000 = 18,000

Diesel Vehicles = 25% of 40,000 = 10,000

Difference = 18,000 − 10,000 = 8,000

Q12. If EV registrations increase by 30%, what will be the new number of EVs?

(A) 9,600
(B) 10,000
(C) 10,400
(D) 11,200

Answer: C

Solution: Current EVs = 8,000

Increase = 30% of 8,000 = 2,400

New EVs = 8,000 + 2,400 = 10,400

Preparation Tips For CLAT 2027 Quantitative Aptitude Section

Here are the Quantitative Aptitude for CLAT 2027 Preparation Tips.

Understand the syllabus and Pattern of the Exam

Number system, simplification, percentage, profit and loss, ratio and proportion, time, speed, and distance are among the topics covered in the Quantitative Aptitude section of the CLAT Quant Questions Understanding the CLAT syllabus and CLAT Exam Pattern for the CLAT 2027 exam is important to know about the types of questions, the format of the questions, difficulty level.

Work on the Basics

Begin by reviewing basic algebraic and arithmetic principles. Be sure to perform correct and timely calculations while working with fractions, decimals, percentages, and ratios. To increase speed, practice tables, squares, cubes, and simple formulas regularly.

Follow A good Schedule and make shortcuts

To save time on the test, become familiar with and practice calculation shortcuts and techniques. Use methods like elimination, approximation, and reverse computations. Practice with mental math can significantly increase accuracy and speed.

Solve the Previous Year's Question Paper

Solve previous years' CLAT Quantitative Aptitude problems to examine the trend and degree of difficulty. This aids in time management and the comprehension of question patterns.

Focus on Time Management

Practice answering questions with a time limit. Don't focus too much on one question at a time; return later if you have time. Aim for speed and accuracy, and Learn Time management for CLAT.

Appear For Mock Tests Daily

Take regular CLAT Mock Tests to evaluate your preparation level. Analyse your mistakes and work on weak areas. Focus on increasing your accuracy and reducing silly mistakes.

Be Consistent and Follow a Healthy Routine

Dedicate daily time slots for mathematical aptitude exercise. Consistency is crucial to mastering the part. With consistent work, quantitative aptitude can be enhanced. Remain composed and confident in your readiness.

CLAT 2027 Quantitative Techniques Important Shortcuts

CLAT 2027 Key Areas To Improve Calculation Techniques

Below are the key Areas to focus on for improving calculation techniques for the CLAT 2027 Exam.

Practice Math in Your Mind

• Develop your fundamental addition, subtraction, multiplication, and division skills.

• Get familiar with shortcuts for square roots, multiplication by 9, 11, 12, and so on.

Accuracy and Speed

• Try to solve issues more quickly without sacrificing precision.

• Begin with basic computations and work your way up to more intricate ones.

Approximation Use

• When precise solutions are not needed, learn to approximate values and make use of approximations.

• This is particularly helpful for making complicated computations simpler.

Effective Time Management

• During mock exams, set aside specific time windows for practising computations.

• To replicate the exam atmosphere, practice under timed situations.

Common Multiplication Table

• You will save a great deal of time if you become familiar with the multiplication tables for numbers up to 20.

Pay Attention to Conversion and Units

• Understand how to convert between fractions, decimals, ratios, and percentages.

• To prevent mistakes on the test, concentrate on unit conversions (such as from kilometres to meters or litres to millilitres).

Word problems to practice

• Work on this ability frequently because word problems frequently call for converting information into a mathematical equation.

• Concentrate on comprehending the query, locating pertinent data, and preparing the equation for rapid solution.

Avoid Challenging Problems

• Steer clear of difficult queries that need a lot of calculations. To improve your time management, learn to recognise and avoid such issues.