What is the best strategy to master Linear Equations questions?

Begin by memorizing the core formulas and derivation steps in Linear Equations. Practice calculation shortcuts to solve problems within 45 seconds, and solve topic-wise mock tests for SSC CGL and SBI PO & Clerk.

Are these Linear Equations questions based on official previous year papers?

Yes, our question database contains previous year exam questions (PYQs) and high-probability model questions curated from SSC CGL, SBI PO & Clerk, IBPS PO, RRB NTPC papers.

Is access to Linear Equations practice questions and solutions free?

Yes, 100% of the questions, answer keys, and detailed solutions for Linear Equations on GkGet are completely free for all students.

Can I attempt timed quizzes specifically for Linear Equations?

Yes, you can attempt topic-wise mock tests with real examination countdown timers, negative marking, and detailed performance analytics in our Test Series portal.

MathematicsTopic Question Bank50+ Solved MCQsUpdated October 2026👁️ 3.8k Topic Views

Linear Equations Questions & Answers

Master problem-solving techniques, shortcut tricks, and formulas for Linear Equations. Solve graded practice questions with complete step-by-step mathematical solutions.

Relevant Exams:SSC CGLSBI PO & ClerkIBPS PORRB NTPCCAT / MBA

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Linear Equations — Key Concepts & Shortcuts

•Master core formulas and fundamental algebraic/arithmetic principles for Linear Equations.
•Apply approximation techniques and calculation shortcuts to solve problems within 45 seconds.
•Practice 2-tier questions and review step-by-step derivations for complex problems.

Practice Questions for Linear Equations

18+ Solved MCQs

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A two-digit number is obtained by multiplying the sum of its digits by 8 and subtracting 4, or by multiplying the difference of its digits by 17 and adding 1 to it. Find the digit in the ten's place.

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Linear Equations Questions & Answers

Linear Equations — Key Concepts & Shortcuts

Practice Questions for Linear Equations

A two-digit number is obtained by multiplying the sum of its digits by 8 and subtracting 4, or by multiplying the difference of its digits by 17 and adding 1 to it. Find the digit in the ten's place.

A lamp post has half of its length in mud, 1 3 rd of its length in water and the remaining 3 1 3 m above the water. Find the total length of the post.

A box contains 25-paise coins and 50-paise coins. In total, there are 30 coins worth Rs 10. Find the number of 25-paise coins in the box.

The condition for which the system of linear equations 2ax + 4ay = c and 3bx + 6by = d has no solution (where a, b ≠ 0) is:

A total of 114 sweets are distributed among 20 children such that each girl gets 6 sweets and each boy gets 5 sweets. What is the number of boys?

In a farm, there are cows and hens. If their heads are counted, they are 180; if their legs are counted, they are 420. What is the number of cows on the farm?

If 5x + 5(2 - x) + 10 = 4x - 6, then what is the value of x?

Students of a class are made to stand in rows. If 7 students are extra in each row, there would be 2 rows less. If 2 students are fewer in each row, there would be 1 more row. Find the total number of students in the class.

Solve the following system of equations: 2x = y - 3 3 x + y = 2

For what value of k do the equations kx - 2y - 3 = 0 and 3x + y - 5 = 0 represent two lines intersecting at a unique point?

Find the linear equation in two variables which forms a system of equations with x - 2y = 3 that has infinitely many solutions.

If a linear equation has solutions (-3, 3), (0, 0), and (3, -3), then it is of the form:

A three-wheeler fare is ₹ 15 for the first kilometer and ₹ 8 per kilometer for subsequent distance. If the total distance covered is x km and the total fare paid is ₹ y, which linear equation represents this information?

The graphs of the linear equations 2x + 3y = 2 and x - 2y = 8 represent two lines which are:

The pair of linear equations x + 2y + 5 = 0 and 3x + 6y - 1 = 0 has:

The pair of equations 3 x+y = 81 and 81 x-y = 9 has the solution:

How many linear equations in x and y can be satisfied by the solution x = 2, y = 3?

A, B, C, and D play a game of cards. A says to B, 'If I give you 8 cards, you will have as many as C has and I shall have 3 less than what C has. Also, if I take 6 cards from C, I shall have twice as many as D has'. If B and D together have 50 cards, how many cards has A got?

Frequently Asked Questions on Linear Equations