What remainder does 3n+1 leave modulo 5 if n leaves remainder 2?
Answer & explanation
Learn: Integer structure2: reduce 3(2)+1 = 7 modulo 5.
All examsGRE QuantFoundation path
View coverage GRE Quant Flashcards & Study Review
Read 12 sample cards from the 80-card GRE Quant foundation collection. Try recalling each answer before checking the explanation.
Version 2026-10-27 · Original foundation materials · No sign-up
What this collection covers
Quantitative Reasoning foundation practice; not Verbal or Analytical Writing.
The cards preview selected ideas; they do not measure readiness for the whole examination. Your personal review schedule is available in the review tool.
Author-reviewed learning materials. Independent educator review is pending; question difficulty has not been calibrated with learner results. Check coverage and gaps before planning your preparation.
Sample flashcards, with answers
How many real solutions does |x−2| = 5 have?
Answer & explanation
Learn: Equations and restrictionsTwo: x = −3 or 7.
Can lengths 2,3,5 form a nondegenerate triangle?
Answer & explanation
Learn: Geometry with explicit conditionsNo. 2+3 must be strictly greater than 5.
All data values increase by 5. What happens to standard deviation?
Answer & explanation
Learn: Distribution summariesIt stays unchanged.
Given x²=9, can x be compared definitively with zero?
Answer & explanation
Learn: Quantitative comparison strategyNo: x=3 and x=−3 give opposite orderings.
Sales rise from 80 to 100. What is the percent increase?
Answer & explanation
Learn: Reading data as relationships25%, with 80 as base.
What is 1/3 + 1/4?
Answer & explanation
Learn: Fractions and magnitude7/12.
What is the minimum value of (x−3)²+2?
Answer & explanation
Learn: Functions and quadratic structure2, attained at x = 3.
What slope is perpendicular to a line of slope 2?
Answer & explanation
Learn: Coordinates encode geometry−1/2; the product of the two slopes is −1.
Five people fill president and secretary with two different people. How many outcomes?
Answer & explanation
Learn: Counting and conditional probability20; the roles are ordered and distinct.
A box plot has minimum 3 and maximum 15. What is its range?
Answer & explanation
Learn: Graphs as quantitative evidence12; use the whisker endpoints, not the quartiles.
An $80 sale price follows a 20% discount. What was the original price?
Answer & explanation
Learn: Percent bases and changes$100; divide 80 by 0.8.
Use the cards as a recall routine
- Read the prompt and explain your answer before looking below it.
- Compare your reasoning with the saved answer, then revisit the linked lesson if a distinction is unclear.
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Sources and preparation route
These prompts and explanations are the site's original learning materials. The reference links below support the selected skills; they are not endorsements or official examination questions.