Practice quiz · by a Quizcard user

GRE Quantitative: Arithmetic, Algebra, Geometry and Data Formulas — quiz

15 multiple-choice questions covering Divisibility rules, Remainders, Primes, Percents, Exponents. One answer each; you get a score at the end and the explanation for every question. No account needed.

Updated 2026-11-04. Keys 1–4 pick an answer, Enter moves on. Redo it any time, in order or shuffled.

The questions

Answers and explanations are shown after you finish.

1. Divisibility rules

   A student is checking whether 4,185 is divisible by 9. Which approach correctly tests this?

   • Check if the last two digits form a multiple of 9
   • Divide the number by 3 twice
   • Check if the last digit is divisible by 9
   • Add all the digits and see if the sum is divisible by 9
2. Remainders

   Using Dividend = Divisor × Quotient + Remainder, what is the remainder when 50 is divided by 7?

   • 0
   • 1
   • 7
   • 2
3. Primes

   Which statement about prime numbers is true?

   • All prime numbers are odd
   • Every odd number is prime
   • 2 is the only even prime number; every other prime is odd
   • 1 is the smallest prime number
4. Percents

   A phone's price drops from $80 to $60. What is the percent change?

   • -25%
   • -15%
   • -33.3%
   • -20%
5. Percents

   A price increases by 25% then decreases by 25%. Compared to the original price, the final price is:

   • Cannot be determined
   • Higher than the original
   • Exactly the same as the original
   • Lower than the original
6. Exponents

   What is the value of 5^(-2)?

   • -25
   • -10
   • 25
   • 1/25
7. Exponents

   What is 27^(2/3)?

   • 6
   • 9
   • 3
   • 18
8. Algebraic identities

   Using the difference of squares identity, what is 101² − 99²?

   • 100
   • 400
   • 40,000
   • 200
9. Triangles

   In a 30-60-90 triangle, the side opposite the 60° angle is 9√3. What is the length of the hypotenuse?

   • 18
   • 6√3
   • 9
   • 9√3
10. Circles

    A circle has radius 10 and a sector with a central angle of 72°. What is the area of the sector?

    • 7.2π
    • 20π
    • 10π
    • 72π
11. Counting

    A committee of 4 people is being selected from 10 candidates, with no distinct roles assigned. Which formula should be used, and why?

    • Combination, because repetition is not allowed and order matters
    • Permutation, because order matters when choosing people
    • Permutation, because repetition is allowed
    • Combination, because the selection doesn't distinguish order
12. Probability

    A fair coin is flipped three times. What is the probability of getting heads on all three flips?

    • 3/8
    • 1/6
    • 1/8
    • 3/6
13. Statistics

    A data set is 2, 3, 4, 5, 100. Which measure of center is most affected by the outlier value of 100?

    • Range
    • Mean
    • Median
    • Mode
14. Statistics

    Two data sets have the same mean, but Set A has a standard deviation of 2 and Set B has a standard deviation of 15. What does this indicate?

    • Set A's values are more spread out from the mean than Set B's
    • Set B's values are more spread out from the mean than Set A's
    • Standard deviation doesn't relate to spread, only to the mean
    • Set A and Set B have identical distributions
15. QC traps

    A Quantitative Comparison problem states: Column A: x². Column B: x. If x isn't restricted to positive integers, what is the safest strategy before concluding Column A is always greater?

    • Conclude Column A is greater without testing, since squares are usually bigger
    • Only test x = 1 since it's the simplest case
    • Test x = 0, a negative number, and a fraction between 0 and 1 to check if the relationship changes
    • Assume x is a positive integer since GRE problems default to integers