GRE® Ratios Questionbank
GRE Sample Questions - Mixtures | Fractions | Percents | Profits | Interest
This webpage contains GRE sample questions from Percentages, Fractions, Decimal fractions, Profit & Loss, Discounts and Simple & Compound interest. Concepts tested in GRE Quant include questions equating percentage of a quantity to its value, percentage increase in value, percentage decrease in value, questions with data only in terms of percentage, computing cost price, selling price, percentage profit, percentage discount and profit or loss made, computing simple interest, compound interest, finding amount at the end of a period and computing amount invested at the beginning of a period.
Curated sample GRE questions from these topics are presented here below. Attempt these questions and check if you have got the correct answer. One can use the explanatory answer or Video explanation made available (wherever provided) to help crack important GRE quant questions.
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If the ratio of the ages of two friends A and B is 3 : 5 and that of B and C is 3 : 5 and the sum of the ages of all 3 friends is 147, how old is B?
Approach to solve this GRE Ratios sample question
Step 1: Compute ratio of ages of A : B : C by equating numerical value of B in the ratios A : B and B : C
Step 2: Equate sum of ages measured in terms of ratio to 147 to find the factor
Step 3: Compute age of B
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In a certain year, California extracted \\frac{2}{7})th and Texas extracted \\frac{1}{7})th of all the Uranium ore extracted in the United States. If all the other states combined extracted 28 million tons that year, how many million tons did Texas extract that year?
Approach to solve this GRE Fractions practice question
Let 'U' be the total quantity of uranium extracted in the United States in the year.
Step 1: Compute fraction extracted by California and Texas.
Step 2: Compute fraction extracted by all the other states in terms of U and equate it to 28 mn to find U
Step 3: Compute quantity extracted by Texas.
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A box contains x red balls, thrice as many green balls and, half as many blue balls as there are red balls. If the box contains no other balls, which of the following could be the number of balls in the box?
Approach to solve this GRE Ratios practice question
Step 1: Express number of green balls and blue balls in terms of x.
Step 2: Compute the number of balls in the box in terms of x.
Step 3: Because the number of balls is an integer, select from answer options a value that is a multiple of the coefficient of x obtained in step 2.
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Three concentric circles of radii 2 cm, 10 cm, and 15 cm are drawn.
Quantity A Quantity B Ratio of area enclosed between the outer circle and middle circle to the area enclosed between the middle circle and inner circle. Ratio of area enclosed between the middle circle and inner circle and the area of the innermost circle. - Quantity A is greater
- Quantity B is greater
- The two columns are equal
- Cannot be determined
Approach to solve this GRE Ratios and Areas of Concetric Circles QC question
Step 1: Compute area of outer circle, middle circle, inner circle from data about their radii.
Step 2: Evaluate Column A. Compute the ratio of the areas asked in Quantity A.
Step 3: Evaluate Column B. Compute the ratio of the areas asked in Quantity B.
Step 4: Compare values in step 2 and step 3 to find the answer to this GRE quantitative comparison question.
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If a, b, and c are numbers such that (a + b) : (b + c) : (c + a) is 15 : 11 : 12, then
Quantity A Quantity B a c - Quantity A is greater
- Quantity B is greater
- The two columns are equal
- Cannot be determined
Approach to solve this GRE Ratios QC question
This one is a tricky question. Let's see whether you can spot it.
Step 1: Add the three parts of the ratio and compute the ratio a : b : c.
Step 2: Subtract (b + c) from the result of step 1 to compute 'a'.
Step 3: Subtract (a + b) from the result of step 1 to compute 'c'.
Step 4: Compare values in step 2 and step 3 to find the answer to this GRE quantitative comparison question.
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