GRE · Quantitative: Algebra · Maharashtra, India
Quantitative: Algebra for the GRE Exam — Maharashtra candidates
8% of the GRE test plan. GRE Algebra covers linear equations, systems of equations, inequalities, absolute value, and quadratic functions with an emphasis on reasoning over calculation. Calibrated for Maharashtrian candidates.
Most exam coaching covers the curriculum at the same depth across all topics. That misses the asymmetry of high-stakes testing: a few topics carry disproportionate weight on the score. Quantitative: Algebra sits at roughly 8% of the Graduate Record Examinations content distribution — Algebra is tested across all GRE Quantitative question types: problem solving, Quantitative Comparison, and data interpretation. Key sub-areas include setting up and solving linear equations from word problems, working with inequalities (especially when multiplying or dividing by a negative), simplifying algebraic expressions, solving quadratics by factoring, and evaluating functions. GRE algebra questions are typically not computationally difficult — they test careful setup and awareness of edge cases like negative multipliers and undefined expressions. Pass rates for the GRE are published annually by the awarding body and vary by cohort and locale. For Maharashtra candidates preparing for GRE, the calibration of study to local context matters: Maharashtra hosts the largest single-state JEE Main, NEET, and CET cohorts in India. MHT-CET is the state-level entrance test; many candidates sit JEE Main, MHT-CET, and NEET in the same year.
Common failure modes
These are the patterns that cause most candidates to lose marks on this topic. Recognising them in advance is half the work.
- !Flipping the inequality sign when multiplying or dividing by a negative — a consistent GRE trap in Quantitative Comparison items
- !Incorrectly FOIL-ing or factoring quadratics — especially (a − b)² ≠ a² − b²
- !Ignoring domain restrictions: dividing by a variable without checking that the variable ≠ 0
- !Setting up a word problem incorrectly — spending algebra time on the wrong equation
Study tips
- 1Always flip the inequality sign when multiplying or dividing both sides by a negative number. Practice this deliberately on 10 inequality problems in a row to build automaticity.
- 2Memorize the three special factoring patterns: (a+b)² = a²+2ab+b², (a−b)² = a²−2ab+b², (a+b)(a−b) = a²−b². These save time and prevent common errors.
- 3On word problems, translate to algebra systematically: assign variables to the unknown quantities, write an equation based on the relationship described, then solve.
- 4For Quantitative Comparison items involving variables, test edge cases: x = 0, x = 1, x = −1, x = a fraction. If the comparison changes, the answer is "cannot be determined."
- 5JEE Main and NEET are offered in Marathi (मराठी) at all Maharashtra centres — choose the medium that matches your school instruction medium for best comprehension speed.
- 6For NEET: Maharashtra State CET Cell runs separate state-quota counselling alongside MCC all-India counselling — register for both to maximise admission chances.
- 7Mumbai and Pune are the highest-density centres; book test slots within 30 minutes of your home pin code to avoid Mumbai monsoon-season transit delays on test day.
Sample GRE Quantitative: Algebra questions
These sample items mirror the format and difficulty of real GRE questions. Practice with thousands more on the free Koydo question bank.
- 1
If 3x − 7 > 2x + 1, which of the following must be true?
- Ax > −6
- Bx > 8Correct
- Cx < 8
- Dx > 6
Why this answer?
3x − 7 > 2x + 1 → 3x − 2x > 1 + 7 → x > 8. The solution is x > 8. This is a straightforward linear inequality — no sign flip because we subtracted (not divided by) a negative. (Illustrative.)
- 2
Quantity A: (x + 3)² where x = −5. Quantity B: (x − 3)² where x = 5. Which is greater?
- AQuantity A is greater
- BQuantity B is greater
- CThe two quantities are equalCorrect
- DThe relationship cannot be determined from the information given
Why this answer?
Quantity A: (−5 + 3)² = (−2)² = 4. Quantity B: (5 − 3)² = (2)² = 4. The quantities are equal. This tests the GRE skill of noticing that (−2)² = (2)² = 4 — the squaring removes the sign difference.
Frequently asked questions
Do I need to know quadratic formula for the GRE?
Does the GRE test logarithms or exponential functions?
What is the GRE pass rate for Maharashtrian candidates?
How long should Maharashtrian candidates study Quantitative: Algebra for the GRE?
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Regulatory citation: ETS GRE General Test Preparation — Quantitative Reasoning content specifications.