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Linear Equations Questions

Practice 48 Linear Equations questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

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48
Total Questions
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4
Easy
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44
Medium
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0
Hard
Practice by Exam:Quantitative Aptitude(34)Mathematics(11)General Intelligence & Reasoning(2)General Intelligence and Reasoning(1)

About Linear Equations — practice questions, PYQs & concepts

Linear Equations is a frequently-tested topic on Quantitative Aptitude, Mathematics, General Intelligence & Reasoning. ExamTest.live currently lists 48 Linear Equations questions spanning previous-year papers from 2026 to 2026, each with worked solutions and a step-by-step explanation. Use the filters on this page to focus on a specific exam, difficulty level or year — every answer key is free, no sign-up required.

Linear Equations weight in competitive exams

Across our Linear Equations question bank, the largest sources are Quantitative Aptitude (34), Mathematics (11), General Intelligence & Reasoning (2) and General Intelligence and Reasoning (1). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 4 easy Linear Equations questions are available — build fluency before moving up.
  • Target weak years: Use the year filter to focus on the most recent 2026 paper or older PYQs you have not attempted.
  • Time yourself: Every question shows the average solve time so you can benchmark your speed against other students.
  • Read every explanation: Even on questions you got right — the explanation often surfaces a faster approach you can reuse.

All Linear Equations Questions(1–48 of 48)

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Q1mediummcqMathematicsMathematics Mock Test - 12026
9% accuracy
The system of equations , , and has no solution if equals:
Q2mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
The sum of two numbers is 450. If the greater number is decreased by 4% and the smaller number is increased by 20%, then the numbers obtained are equal. The smaller number is:
Q3mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
Rishi and Sarita have ₹4,760. If of Rishi's amount is equal to of Sarita's amount, how much does Sarita have?
Q4easymcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
A student made twice as many mistakes as he got correct answers. If he attempted questions in total, how many questions did he get right?
Q5mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
The ratio of the ages of and is . Ten years hence, the sum of their ages will be . What are their respective present ages (in years)?
Q6mediummcqMathematicsMathematics Mock Test - 52026
50% accuracy
If the lines given by and are parallel, then the value of is:
Q7mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
Two students appeared for an examination. One student who scored 20 marks more than the other, his score was 60% of the sum of their marks. What was his score?
Q8mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
The ratio of the sums of money Arun and Ahaan had is . If Arun gives ₹ from his share to Ahaan, then the ratio will change to . How much money did Arun have initially?
Q9mediummcqQuantitative AptitudePrepp2026
0% accuracy
of Ranita's weekly income is equal to of Bhaskar's weekly income. If Ranita's weekly income is decreased by while Bhaskar's weekly income remains unchanged, the ratio of the weekly incomes of Ranita and Bhaskar becomes respectively. What is the weekly income of Bhaskar (in )?
Q10mediummcqQuantitative AptitudePrepp2026
0% accuracy
The sum of two numbers and (where ) is equal to four times their difference. Find the value of .
Q11mediummcqQuantitative AptitudeSSC Selection Post 2018 Higher Secondary Level2026
0% accuracy
4 वर्ष पहले, पि ता की आयु उसके पुत्र की आयु की 8 गुना थी । वर्तमा न में, पि ता की आयु पुत्र की आयु की 4 गुना है। पुत्र की आयु ज्ञा त की जि ये
Q12mediummcqQuantitative AptitudeSSC Selection Post 2018 Higher Secondary Level2026
0% accuracy
A, B से ती न गुना अधि क का र्य कुशल है। यदि B कि सी का म को पूरा करने में 45 दि न का समय लेता है, तब समा न का म को पूरा करने में A कि तने दि न लेगा ?
Q13mediummcqQuantitative AptitudeSSC Selection Post 2018 Higher Secondary Level2026
0% accuracy
1,500 रुपये की धनरा शि को A और B के बी च वि भा जि त कि या जा ता है। A को प्रा प्त हुआ 4/5 भा ग, B के 2/5 भा ग के बरा बर है, तो B के द्वा रा प्रा प्त धनरा शि क्या थी ?
Q14mediummcqQuantitative AptitudeCompetitive Exam Practice Paper2026
0% accuracy
A group of individuals, consisting of teachers and students, is attending a conference. For every students, there is one teacher. How many teachers are in the group?
Q15mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
A farmer covered a total distance of in . He travelled part of the distance on foot at a speed of and the remaining distance by bicycle at a speed of . Find the distance travelled on foot.
Q16mediummcqMathematicsMathematics Mock Test - 42026
0% accuracy
The system of equations and has:
Q17mediummcqGeneral Intelligence & ReasoningCompetitive Exam2026
Read the question and statements provided and then decide whether the information provided in the statements is sufficient to answer the question.
Find the unique values of , and , if:
Statements:
I.
II.
Q18easymcqQuantitative AptitudeSSC CGL2026
If 70 is subtracted from 70% of a number, the remainder is 70. What is the number?
Q19mediummcqQuantitative AptitudeCompetitive Exam2026
If of a number is , what is the value of the number after increasing it by ?
Q20mediummcqQuantitative AptitudeCompetitive Exam2026
After years, Hardik's age will be seven times the age he was years ago. What is his present age?
Q21mediummcqQuantitative AptitudeCompetitive Exams2026
A teacher travelled a distance of 22km in 7 hours. He travelled partly on foot at the speed of 2km/h and partly on bicycle at the rate of 4km/h. The distance travelled on foot is:
Q22mediummcqQuantitative AptitudeCompetitive Exam2026
Mr Gogia invested an amount of ₹13,900 divided into two different schemes A and B at the simple interest rate of 14%p.a. and 11%p.a., respectively. If the total amount of simple interest earned in 2 years is ₹3,508, what was the amount invested in scheme B?
Q23mediummcqQuantitative AptitudePractice Paper2026
A group of 6 chairs and 3 tables together has 54 legs. If each chair has 4 legs, how many legs does one table have ?
Q24mediummcqQuantitative AptitudePractice Paper2026
If half of a number is equal to two-thirds of 60, find the number.
Q25mediummcqQuantitative AptitudePractice Test2026
Find the value of :
Q26mediummcqQuantitative AptitudeSSC Competitive Exams2026
The average cost of a pencil is ₹8 and the average cost of an eraser is ₹4. The cost of 8 erasers, 4 pencils and 12 sharpeners are ₹148. The average cost of a sharpener is ₹ ______.
Q27mediummcqQuantitative AptitudeCompetitive Exam2026
In a college election between two rivals, a candidate got 30% of the total votes polled. He was defeated by his rival by 200 votes. The total number of votes polled was:
Q28mediummcqQuantitative AptitudeCompetitive Exam2026
In a Panchayat election, three contestants - A, B, and C - are contesting. 75% of the total population of 8000 cast their votes. There were no invalid or NOTA votes in the election. A got the least votes, with only 300 votes. B got 66% of the total votes and won the election. How many votes did B get?
Q29mediummcqQuantitative AptitudePractice Mock2026
In an election, there were three candidates - A, B and C. The winner, A, got five times the votes received by C. B got 240 votes which was 1.5 times the votes of C. How many total votes were polled in the election if there were no bogus votes?
Q30mediummcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
The average monthly salary of A, B, C and D is ₹. A gets ₹ more than B, B gets ₹ more than C, and C gets ₹ more than D. Find the monthly salary of A (in ₹).
Q31mediummcqGeneral Intelligence & ReasoningUP Police Constable Re-Exam2026
A few students went on a trip and the total amount planned to be spent was . However, students did not turn up and as a result the remaining students had to contribute extra. The number of students who attended the trip was:
Q32easymcqMathematicsAIEEE2026
Consider the system of linear equations: The system has:
Q33mediummcqMathematicsFIITJEE AIEEE 2011 (Set Q)2026
The number of values of for which the linear equations , , and possess a non-zero solution is:
Q34mediummcqMathematicsJEE Main2026
The number of values of , for which the system of equations has no solution, is:
Q35mediummcqMathematicsMathematics Mock Test - 32026
The system of equations has infinitely many solutions. If , then the possible value of is:
Q36mediummcqMathematicsMathematics Mock Test - 82026
The real value of for which the system of equations , , , has a non-trivial solution is:
Q37mediummcqQuantitative AptitudeUP Police Constable Re-Exam2026
A used two-wheeler-dealer sells a scooter for and makes some loss. If he had sold it for , his profit would have been double of his loss. What was the cost price of the scooter?
Q38mediummcqQuantitative AptitudeUP Police Constable Re-Exam2026
The batting average for of a cricket player is . His highest score exceeds his lowest score by . If these two innings are not included, the average of the remaining is . Then the lowest score of the player is:
Q39mediummcqQuantitative AptitudeUP Police Constable Re-Exam2026
There are Senior officers and Secretaries in an office. If went on leave, then every Secretary has two Senior officers. After that went on leave and now every Senior officer has . Then find out how many Secretaries were there initially.
Q40mediummcqQuantitative AptitudePractice Mock2026
If X and Y have incomes in the ratio 5:3 and expenditures in the ratio 3:1 and each one of them saves ₹27,000, then what is the income of X?
Q41mediummcqMathematicsCompetitive Exam2026
A hunter was asked how many birds he had caught and had in his bag. He replied that there were all parrots but eight, all ducks but eight, and all swans but eight. How many birds did he catch in total?
Q42mediummcqMathematicsCompetitive Exam2026
The Venn diagram shows the number of people who bought ice-cream and drinks in a theatre. Ice-cream is sold for INR 3 and drinks are sold for INR 2. A total of INR 262 is spent. How many people bought both a drink and an ice-cream?
image
Q43mediummcqQuantitative AptitudeCompetitive Exam Paper2026
The average monthly income of and is , that of and is and of and is . The monthly income of is:
Q44mediummcqGeneral Intelligence and ReasoningCompetitive Exam2026
A few students went on a trip and the total amount planned to be spent was . However, students did not turn up and as a result the remaining students had to contribute extra. The number of students who attended the trip was:
Q45easymcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
A certain distance is covered by a car at a uniform speed in hours. If the speed is reduced by , it will take hour more. What is the original speed of the car (in )?
Q46mediummcqMathematicsAIEEE-CBSE-ENG-032026
If the system of linear equations has a non-zero solution, then :
Q47mediummcqQuantitative AptitudeSSC CGL2026
A bag contains a total of 180 coins in the denominations of ₹5 and ₹1. Find the number of ₹5 coins in the bag, if the total value of the coins is ₹500.
Q48mediummcqQuantitative AptitudeCompetitive Exam2026
The price of a television set and a washing machine are in the ratio of 8:7. If the cost of the television set is ₹4,800 more than the cost of the washing machine, then find the price of the washing machine.

Frequently Asked Questions

How many Linear Equations questions are on ExamTest.live?▼
We have 48 Linear Equations questions spread across 1 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
Are Linear Equations MCQs free?▼
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Which exams include Linear Equations questions?▼
Linear Equations questions are commonly asked in Quantitative Aptitude, Mathematics, General Intelligence & Reasoning, General Intelligence and Reasoning. You can filter by exam using the links above.
How do I practice Linear Equations questions effectively?▼
Start with easy questions to build confidence, then tackle medium and hard ones. Use the filter buttons to sort by difficulty. Reveal the answer only after attempting each question, and read the explanation thoroughly.