GMAT Two-Part Analysis

What Two-Part Analysis looks like

Two-Part Analysis (TPA) is one of the five GMAT Data Insights question types. A single prompt supports two related responses. The response may be a pair of values, names, conditions or choices. The two parts might represent inputs and outputs, two people, two periods or complementary quantities. Read the whole prompt before selecting either answer.

The linked structure is the defining feature. You may be able to find a value for the first field quickly, but its meaning can depend on the second. A pair must satisfy every condition in the prompt. Do not treat the columns as separate multiple-choice questions unless the wording makes them independent.

A good first move is to label the columns in your own words. If one asks for workers and the other asks for hours, label them W and H. If they ask for a starting value and a final value, write start and finish. This prevents entering a correct number in the wrong column.

A four-step approach

1. Read the full prompt and identify the two requested outputs.
2. Translate each condition into an equation, inequality or relationship.
3. Solve one part while preserving how it constrains the other.
4. Test the completed pair against every condition, including units and limits.

The calculator is available in Data Insights. Use it for arithmetic after the relationships are clear. A calculator does not tell you whether a fixed fee should be included, whether a rate applies to both periods or whether two selected values satisfy a shared total.

Keep shared conditions visible

Write shared constraints above the answer choices. A total may need to equal a fixed amount. Two percentages may need to sum to 100. A schedule may require one worker to begin later. A pair of values may need to preserve an ordering. If you solve one column without keeping the shared constraint in view, it is easy to choose two individually plausible values that cannot both be true.

When a prompt has several conditions, mark which one controls each output and which one connects them. For an investment allocation, the first share may determine a return contribution and the second share may be the remainder. For a work problem, the first value may be units produced and the second hours used, linked through a constant rate.

Pay attention to whether the answers must be distinct, whether values may repeat and whether each answer can be used once. These rules change the possible pairs. If the prompt gives a grid or list, do not assume every item is used; read the instructions about selecting values carefully.

Original worked example: price and quantity

A shop sells notebooks at $4 each and pens at $2 each. Priya spends exactly $26 and buys 8 items total. How many notebooks and pens does she buy? Let n be notebooks and p be pens. The conditions are n + p = 8 and 4n + 2p = 26. Subtract twice the first equation from the second: 2n = 10, so n = 5 and p = 3.

The pair is notebooks 5, pens 3. Check both columns together: 5 + 3 = 8 items and $20 + $6 = $26. Selecting 5 notebooks with 2 pens might satisfy the spending amount but not the item total. Selecting 4 notebooks and 4 pens satisfies the total but costs $24. The pair, not either field in isolation, is the answer.

Original worked example: work and time

A team must complete 90 units. Machine A produces 12 units per hour. Machine B produces 18 units per hour but operates only after A has worked alone for one hour. How many units has A produced before B starts, and how many additional hours do both need to finish the remaining work? A produces 12 units in the first hour. The remaining 78 units are produced at 30 units per hour, so both machines need 78/30 = 2.6 hours.

The pair is 12 units before B starts and 2.6 more hours afterward. It would be wrong to divide all 90 units by 30 and answer 3 hours because B does not work during the first hour. It would also be wrong to answer 3.6 hours after B starts because the initial 12 units have already been completed.

Original worked example: a shared total

A company allocates $100,000 between two funds. Fund X returns 4 percent and Fund Y returns 7 percent. If the company wants a projected annual return of $5,800, how much goes to X and how much to Y? Let X be x thousands, so Y is 100 - x. Then 0.04x + 0.07(100 - x) = 5.8, where returns are in thousands of dollars. Solving gives x = 40 and Y = 60. Thus $40,000 goes to X and $60,000 to Y.

Check that the allocations total $100,000 and the earnings are $1,600 plus $4,200, or $5,800. The wrong pair $60,000 in X and $40,000 in Y still totals $100,000, but its return is only $5,200. This is why checking only one condition is not enough.

Use tables and equations efficiently

A two-row table can organize many prompts: output one, output two, condition. For a mixture, rows might be solution A and solution B, with columns for volume, concentration and amount of solute. For a schedule, rows can be periods and columns for rate, time and completed work. Tables reduce the chance of applying a rate to the wrong interval.

Use variables for unknowns and preserve exact fractions until the end. If two quantities sum to a total, express one as total minus the other. If one is twice the other, write y = 2x. These relationships often reduce two unknowns to one. After solving, use the original prompt to validate the result rather than relying only on algebraic manipulation.

If answer choices are discrete, test them against the constraints rather than doing unnecessary algebra. Eliminate any pair that violates a total, ordering or unit condition. If only a few pairs remain, calculate each accurately. Do not choose an option solely because one value resembles a familiar number from the prompt.

Common TPA errors

• Solving one answer field while ignoring the other.
• Entering values in reversed columns.
• Forgetting a delay, fee or condition that affects only one part.
• Checking the total but not the outcome, or the outcome but not the total.
• Mixing units such as dollars and thousands of dollars.
• Treating linked answer fields as independent when they share a constraint.
• Rounding too early and making an exact pair appear not to fit.

Units deserve particular attention. If x is measured in thousands of dollars and a rate is a percent, the product is thousands of dollars. If a time is measured in minutes while a rate is per hour, convert first. A pair can be numerically close yet wrong because one field uses the wrong scale.

Manage time and review

Data Insights provides 45 minutes for 20 questions, so TPA shares a limited clock with four other formats. Some two-part problems involve several steps. If the setup remains unclear after a reasonable effort, write down what is known, test a candidate pair and move forward if you are stuck. Unanswered questions can hurt the score, so do not spend the rest of the section on one prompt.

In practice, record time spent and whether your error came from modeling, arithmetic, column order or checking. A modeling error needs more work translating prose into equations. A column-order error calls for labeling the fields. An arithmetic error needs a cleaner calculation. This diagnosis makes subsequent practice targeted.

Review a correct answer too if one field was a guess. Explain why both selections work together. On a new problem, hide the choices and build the relationship first. This helps ensure that you can solve the problem rather than match a pair by elimination alone.

How to handle difficult pairs

If you cannot solve both fields immediately, work from the stronger relationship. For example, a fixed total may let you express the second quantity as total minus the first. Substitute that expression into a cost or rate equation. If the prompt offers answer choices, test candidate pairs against the hardest condition first and eliminate those that cannot fit.

When the prompt gives a range rather than an exact value, preserve the inequality. If a project must finish in fewer than 10 hours, a pair that produces exactly 10 hours does not qualify. If values are whole numbers, check that a calculated decimal is permitted. Do not round an answer pair unless the prompt asks for an approximation.

Make one final pass through the original conditions. For the spending example, check both item count and price. For the machine example, check the delay, output before the delay ends and remaining duration. For an allocation, check both the total share and the projected return. This validation is often where a near-correct pair is caught.