Master the quant. Conquer
the test.
— a rigorous path through GMAT & GRE mathematics, taught the way mathematicians teach.
For ambitious students applying to top business and graduate programs.
TutorDA's coaching is built on a decade of university-level instruction —
no shortcuts, no shallow tricks. Just structured mastery of every concept
the GMAT Focus and GRE General will throw at you.
Whether you are sitting the GMAT Focus Edition or the GRE General Test,
the destination is the same: a quant score that lifts your application
above the cut.
GMAT Focus
For applicants to M.B.A. & business graduate programs.
Quantitative Reasoning — Arithmetic, Algebra, Word Problems
Data Insights — DS, MSR, Graphics Interpretation, Two-Part
Both tests were re-engineered in the last three years —
shorter, sharper, and (for the GMAT) restructured around data literacy.
Here is the current shape of each.
§ II · i
GMAT Focus Edition
The current and only version of the GMAT. Replaced the classic GMAT in early 2024.
Computer-adaptive, three sections, no essay, no Sentence Correction, no pure Geometry.
2h 15mtotal time
64questions
205–805score scale
60–90per section
3sections
Section
Questions
Time
Topics & Question Types
Quantitative ReasoningProblem Solving only
21
45 min
Arithmetic (fractions, percentages, ratios, powers, roots, number properties), Algebra (linear & quadratic equations, inequalities, functions, exponents), Word Problems (rate, work, mixtures, profit & loss, interest). No pure geometry; no calculator.
Data Sufficiency, Multi-Source Reasoning, Table Analysis, Graphics Interpretation, Two-Part Analysis. On-screen calculator available in this section only.
Key features of the Focus Edition
Section-adaptive. Difficulty adjusts based on prior answers; you cannot skip questions, but you may flag and review.
Choose your section order. Six possible permutations — most high-scorers start with their strongest section to anchor the algorithm.
Review & edit. You may revise up to three answers per section before locking it.
Score preview. Section scores are visible before you decide whether to accept or cancel.
No negative marking — but unanswered questions carry a heavy timing penalty.
645+ ≈ 88th percentile; 695+ ≈ 98th percentile; equates roughly to 700+ on the old scale.
§ II · ii
GRE General Test
The shortened GRE introduced in September 2023, now the standard format. Five sections,
section-level adaptivity within Verbal and Quant, one essay, no unscored experimental section.
1h 58mtotal time
55items total
260–340V + Q scale
130–170per measure
0–6awa scale
Section
Questions
Time
Topics & Question Types
Analytical WritingAlways the first section
1 task
30 min
Single "Analyze an Issue" essay. You take a position on a general statement, support it with reasoning and examples, and structure a clear argument. Scored 0–6 in half-point increments by a human reader and an automated engine.
Verbal Reasoning · §1Moderate difficulty
12
18 min
Reading Comprehension (passages 1–5 paragraphs, with single-answer, multi-answer, and select-in-passage variants), Text Completion (one-, two-, and three-blank), and Sentence Equivalence (choose two synonymous completions). Vocabulary remains central.
Verbal Reasoning · §2Difficulty depends on §1
15
23 min
Quantitative Reasoning · §1Moderate difficulty
12
21 min
Arithmetic, Algebra, Geometry (still tested in GRE), and Data Analysis. Question types: Quantitative Comparison, Multiple Choice (one answer), Multiple Choice (one or more answers), and Numeric Entry. On-screen calculator available throughout.
Quantitative Reasoning · §2Difficulty depends on §1
15
26 min
Key features of the new GRE
Section-adaptive. Your performance on the first Verbal (or Quant) section determines the difficulty of the second; the final scaled score reflects both accuracy and section difficulty.
Order. Analytical Writing is always first; the four Verbal/Quant sections follow in any order assigned by ETS.
No negative marking. Always guess rather than leave blank — within a section, all items count equally.
Faster scores. Official scores typically reported within 8–10 days.
Validity. Scores remain valid for five years from the test date.
Up to five attempts per twelve-month rolling window, with a 21-day cooling period between sittings.
§ III · Method
Built by a mathematician — not a test factory.
"The GMAT and GRE quant sections do not reward speed; they reward students
who have internalised the structure of the problem. Tricks plateau.
Mathematical fluency does not."
— Naseer Ahmed, Lead Faculty
Our curriculum descends from a full Calculus I OER textbook and a Moodle-backed
problem bank refined over ten cohorts at university level. Every topic — from
number properties to permutations — is taught from first principles, then
drilled against the latest official question patterns.
I
First-principles concept maps
Each topic begins with the underlying mathematics. You learn why a technique works before you learn how to apply it under time pressure.
II
Calculation-based drills
Our library is built around problem-solving, not theory MCQs. Every exercise has a worked solution showing the canonical path and at least one elegant shortcut.
III
Adaptive diagnostics
Section-adaptive mock tests rank your weakest sub-topics using a Bayesian model, then route you to targeted drills until the gap closes.
IV
Bilingual instruction
Live sessions and explanations available in English, Arabic and Tamil — designed for our Gulf and South-Indian student cohorts.
§ IV · The Sample Bank
Twenty problems. One standard of difficulty.
A representative cross-section of what your test will actually look like —
ten from the GMAT Focus, ten from the GRE General. Click an option to check; reveal the worked solution below.
GMAT · Quant · Number Properties№ 01
Euler famously observed that n² + n + 41 yields a prime for every integer n from 1 to 39, but a composite at n = 40. What is the smallest prime factor of the value produced at n = 40?
A 7
B 11
C 13
D 41
E 43
Answer · D · 41
At n = 40: 40² + 40 + 41 = 1600 + 40 + 41 = 1681 = 41². Hence the unique prime factor is 41.
GMAT · Quant · Algebra (Exponents)№ 02
If 3x+2 + 3x+1 + 3x = 117, what is the value of x?
Pump A fills a tank in 6 hours; Pump B fills the same tank in 9 hours. They run together for 2 hours, after which Pump A is shut off and Pump B continues alone until the tank is full. What is the total time, in hours, to fill the tank?
A 4
B 5
C 5.5
D 6
E 6.5
Answer · D · 6 hours
Combined rate: 1/6 + 1/9 = 5/18 of tank per hour. In 2 hours together they fill 10/18 = 5/9. The remaining 4/9 at B's rate of 1/9 per hour takes 4 hours. Total: 2 + 4 = 6 hours.
GMAT · Quant · Percentages№ 04
A trader marks up goods by 40% above cost, then offers a 25% discount on the marked price. What is the trader's net percentage profit or loss?
A 5% loss
B 5% profit
C 10% profit
D 15% profit
E Break-even
Answer · B · 5% profit
Let cost = 100. Marked price = 140. Discount of 25% → selling price = 0.75 × 140 = 105. Net = 5 on 100 = 5% profit.
GMAT · Quant · Inequalities№ 05
If |2x − 5| < 7, which of the following must be true about x?
After installing motion-sensor lighting in its parking lots, the Apex Mall reduced its annual electricity bill by 22%. Mall management has now proposed installing the same lighting in all corridor and stairwell areas, predicting a further 15% drop in the total electricity bill.
Which of the following, if true, most weakens the prediction?
A Several malls in nearby cities have reported similar savings after installing motion-sensor lighting.
B Mall corridors and stairwells are frequented continuously throughout business hours and remain only briefly empty.
C The motion-sensor units have a 10-year warranty and a payback period of 3 years.
D Parking-lot lighting accounts for a smaller proportion of total electricity use than corridor lighting.
E The mall's air-conditioning system also recently underwent an efficiency upgrade.
Answer · B
Motion-sensor savings depend on the lighting being OFF when areas are empty. (B) directly attacks this — if corridors are rarely empty, the sensors will rarely save energy. (D) does not weaken the prediction directly; (C) and (E) are irrelevant to the savings claim.
GMAT · Verbal · Reading Comprehension№ 07
Economists once assumed that consumers acted as wholly rational utility-maximisers. Behavioural economics, building on the work of Kahneman and Tversky, dismantled this assumption by demonstrating systematic deviations — anchoring, loss aversion, the availability heuristic — that occur even when participants are highly motivated and well-informed. The implication is uncomfortable: rational-choice models predict the average direction of behaviour, but routinely misestimate its magnitude.
The author's primary purpose in the passage is to:
A Argue that rational-choice models should be entirely abandoned.
B Praise Kahneman and Tversky for replacing classical economic theory.
C Explain how behavioural research has qualified, rather than overturned, rational-choice economics.
D Recommend further research into the availability heuristic.
E Contrast loss aversion with anchoring as distinct cognitive biases.
Answer · C
The closing sentence explicitly says the models still predict the direction of behaviour but misestimate magnitude — a qualification, not a dismissal. (A) is too strong; (D) is a detail; (E) confuses an illustration for the thesis.
GMAT · Data Insights · Data Sufficiency№ 08
Is the integer n divisible by 12?
(1) n is divisible by 6.
(2) n is divisible by 8.
A Statement (1) alone is sufficient, but (2) alone is not.
B Statement (2) alone is sufficient, but (1) alone is not.
C Both statements TOGETHER are sufficient, but neither alone is.
D EACH statement ALONE is sufficient.
E Statements TOGETHER are still NOT sufficient.
Answer · C
(1): n = 6 → not divisible by 12; n = 12 → yes. Insufficient. (2): n = 8 → no; n = 24 → yes. Insufficient. Together: n is divisible by LCM(6, 8) = 24, and any multiple of 24 is a multiple of 12. Sufficient.
GMAT · Data Insights · Two-Part Analysis№ 09
A factory produces two products, P and Q. Each unit of P needs 3 hrs of labour; each unit of Q needs 4 hrs.
The factory has 480 hrs of labour available this week. Select the combination of P-units and Q-units
that exactly exhausts the available labour.
Units of P
A 40
B 60
C 80
D 100
E 120
Units of Q
A 30
B 45
C 60
D 75
E 90
Answer · P = 80 · Q = 60
3·80 + 4·60 = 240 + 240 = 480 hrs. ✓ No other listed pair satisfies 3p + 4q = 480 with both rows selectable.
GMAT · Data Insights · Table Analysis№ 10
Below: Q3-FY26 regional revenues (₹ crore) for four divisions. Which division has the highest ratio of South revenue to North revenue?
Division
North
South
East
West
Alpha
120
180
90
110
Beta
60
165
80
50
Gamma
200
140
180
220
Delta
90
135
75
85
A Alpha (180/120 = 1.50)
B Beta (165/60 = 2.75)
C Gamma (140/200 = 0.70)
D Delta (135/90 = 1.50)
E Both Alpha and Delta tie
Answer · B · Beta
Compute each ratio: Alpha 1.50, Beta 2.75, Gamma 0.70, Delta 1.50. Beta is highest.
GRE · Quant · Arithmetic№ 11
If the average (arithmetic mean) of 5, 8, x, 12, and 15 is 11, what is the value of x?
A 10
B 13
C 15
D 17
E 20
Answer · C · x = 15
Sum = 11 × 5 = 55. Known sum = 5 + 8 + 12 + 15 = 40. So x = 55 − 40 = 15.
GRE · Quant · Algebra№ 12
If f(x) = x² − 3x + 2, what is f(f(2))?
A 2
B 0
C −1
D 6
E 8
Answer · A · 2
f(2) = 4 − 6 + 2 = 0; then f(0) = 0 − 0 + 2 = 2.
GRE · Quant · Geometry№ 13
A right circular cylinder has radius 3 cm and height 10 cm. A sphere of the same radius is inserted inside. What fraction of the cylinder's volume is occupied by the sphere? (Use π in the answer.)
D The relationship cannot be determined from the information given
Answer · B
Since x < 0 and y² > 0, Quantity A = x · y² is negative. Since x² > 0 and y > 0, Quantity B = x² · y is positive. Positive > negative.
GRE · Quant · Data Analysis№ 15
A bag contains 4 red balls, 5 green balls, and 6 blue balls. Two balls are drawn at random without replacement. What is the probability that both are red?
A 1/15
B 2/35
C 4/15
D 1/8
E 16/225
Answer · B · 2/35
P = (4/15) × (3/14) = 12/210 = 2/35.
GRE · Quant · Numeric Entry№ 16
A box contains 12 marbles, of which 5 are blue. If 3 marbles are drawn at random without replacement, what is the probability that exactly 2 are blue? Type your answer as a decimal rounded to three places.
For all his _________ in front of cameras, the senator was, off-stage, surprisingly _________: he spoke in soft sentences and seldom finished a thought aloud.
Blank (i)
A diffidence
B bombast
C probity
Blank (ii)
A reticent
B garrulous
C belligerent
Answer · bombast · reticent
The pivot "but" / "surprisingly" demands a contrast. On-stage = loud / showy (bombast); off-stage = quiet / restrained (reticent).
GRE · Verbal · Sentence Equivalence№ 18
Select two answer choices that complete the sentence and produce sentences alike in meaning.
The committee's report was so __________ that even sympathetic readers struggled to extract its central thesis.
A abstruse
B lucid
C succinct
D recondite
E didactic
F tendentious
Answer · A · D · abstruse / recondite
Both mean "difficult to understand" — they produce equivalent sentences. The other choices either contradict the context or sit in a different semantic field.
GRE · Verbal · Reading Comprehension№ 19
In the late nineteenth century, paleontologists working in the American West encountered a puzzle: fossil beds of contemporary species were preserved in entirely different rock types in different regions. Some attributed this to local burial conditions; others, more controversially, suggested that the species themselves migrated between habitats. The migration hypothesis fell out of favour until twentieth-century isotope analysis revealed strontium signatures consistent with travel across hundreds of kilometres.
The passage suggests that twentieth-century isotope analysis served primarily to:
A Disprove the burial-condition hypothesis.
B Rehabilitate an earlier proposal that had lost credibility.
C Explain why fossil beds occur in different rock types.
D Identify the geographic origin of strontium.
E Map nineteenth-century paleontological controversies.
Answer · B
The migration hypothesis was proposed in the 19th century but "fell out of favour"; isotope evidence later confirmed it — i.e. rehabilitated it. (A) is too strong (isotope data supports migration, doesn't refute burial); (C) and (D) describe details, not the primary role of the isotope work.
GRE · Analytical Writing · Issue Task№ 20
"The most reliable way to gauge a society's health is by examining how it treats its most vulnerable members, not by looking at its economic output."
Write a response in which you discuss the extent to which you agree or disagree with the statement and explain your reasoning. In developing and supporting your position, you should consider ways in which the statement might or might not hold true and explain how these considerations shape your view.
Approach · 6.0-band outline
Position: Partial agreement — both metrics matter; treatment of the vulnerable is a sharper test of distributive health, GDP of productive health. Para 1 — Concede: Affluent societies can mask poverty; a high GDP that conceals high inequality is misleading. Para 2 — Qualify: But economic output enables welfare; you cannot redistribute what you do not produce. Para 3 — Synthesize: Better metric is a composite — HDI, Gini, life expectancy, infant mortality — alongside GDP. Para 4 — Example: Cite a country where high GDP coexists with poor welfare outcomes; or vice versa. Para 5 — Conclude: Position re-stated, neither monocular metric is enough.
§ V · Faculty
Taught by one person. Held to the same standard throughout.
No outsourced tutors, no scripted contractors. Every live class is led by the
lead faculty himself; every recording carries the same voice.
Naseer Ahmed
Lead Faculty · GMAT & GRE Quantitative
Naseer is a mathematician by training (M.Sc. Pure Mathematics, PhD candidate, IIT Madras) who has spent the last decade teaching engineering math and graduate-admissions quant. He authored TutorDA's Calculus I OER textbook and curates the Moodle-backed problem bank that drives this program.
10+ cohorts of GMAT / GRE instruction (>400 students)
Average quant-score uplift across cohorts: +9 GMAT-Q / +6 GRE-Q
Author, TutorDA Calculus I: A First Course (OER, 2024)
Trilingual delivery — English, Arabic, Tamil
Former adjunct, MIT Chrompet (Probability & Stochastic Processes)
Featured speaker — Anna University FDP, "Teaching Quant for the Modern GMAT", 2025
§ VI · Frequently Asked
Before you commit.
How is TutorDA different from Manhattan, Magoosh, or e-GMAT?
Those platforms are excellent for self-paced drilling but treat quant as a checklist. We teach quant the way a maths department teaches it — concept first, technique second, drill third. The result: when an unfamiliar variant appears on test day, you have the structure to handle it, not just a memorised pattern.
Should I take GMAT or GRE?
If you are applying primarily to business schools, GMAT (Focus Edition) is still preferred by elite MBA programs. If you are applying to M.S., Ph.D., or specialised master's programs (including many MBAs that now accept either), the GRE is usually the safer bet — particularly if Data Insights makes you nervous. We offer a free 30-minute consultation to help you decide.
What if I'm strong in quant but weak in verbal — or vice versa?
Both programs run a placement diagnostic in week 1 that builds a per-topic Bayesian map of your weaknesses. Live sessions remain plenary, but your drill load is rebalanced toward your weaker areas, and one-to-one strategy sessions are devoted to whichever section has the highest score-lift potential for you.
Are live sessions recorded?
Yes. Every live class is recorded and posted to your private dashboard within 12 hours. Recordings have searchable transcripts, chapter markers, and downloadable problem sheets. Cohorts also have a Telegram channel for between-class doubt clarification.
What is your guarantee?
If you attend ≥ 80% of live sessions, complete the prescribed drill schedule, and do not see at least a 5-point uplift on your quant score on a real attempt within 90 days of the program ending, we'll either coach you for another cohort free or refund 50% of the fee — your choice.
Can I pay in instalments?
Yes. Standard plan is two equal instalments — half on enrollment, half before week 6. We also accept UPI, NEFT, Stripe, and (for Gulf-resident students) bank transfer in AED / SAR.
I'm in the GCC / abroad — is the schedule compatible?
Yes. Our weekday live sessions run 19:00–21:00 IST (which is 16:30–18:30 GST / 21:30–23:30 SGT). Weekend mock-test reviews are scheduled to suit each cohort by majority vote in the first session. All sessions are recorded if you can't attend live.
§ VII · Enroll
When the test arrives, arrive ready.
Cohorts begin every six weeks. Seats are capped at twelve to preserve the one-to-one
attention that makes the difference between a good score and a great one.