Daily Practice Questions
6 questions across multiple subjects, with detailed explanations and study tips.
📝 Questions
🎓 GRE Prep
Easy
What is the value of x in the equation 2^2 + 2^3 = 2^5?
- A. True
- B. False ✓
- C. Cannot be determined
- D. None of the above
Explanation: The equation is 2^2 + 2^3 = 4 + 8 = 12, while 2^5 = 32. Since 12 ≠ 32, the statement '2^2 + 2^3 = 2^5' is false. Therefore, x (implicitly representing the truth value of the equation) is False.
💻 AP Computer Science A
Hard
Consider this program segment. You may assume that wordList has been declared as ArrayList<String> .
- A. 3
- B. 4
- C. s.length()
- D. wordList.size() - 1
- E. wordList.size() ✓
Explanation: 5. (E) If s.length() < 4 for all strings in wordList , then SHORT WORD will be printed on each pass through the for loop. Since there are wordList.size() passes through the loop, the maximum number of times that SHORT WORD can be printed is wordList.size() .
📝 ACT Prep
Medium
In March 2017, a panel chose Adichie's book Americanah as their 3 selection for a citywide book club.
- A. NO CHANGE
- B. it's
- C. they're
- D. its ✓
Explanation: The context requires a possessive pronoun to show ownership of the selection by the panel. 'Its' is the correct possessive form of 'it'; 'it's' means 'it is', and 'they're' means 'they are', neither of which fits here.
📊 SAT Math
Easy
Which choice most logically completes the text? Throughout Europe, the Age of Enlightenment ushered in a renewed and unprecedented interest in scientific investigation. A devotee to the zeitgeist, 17th-century scientist Robert Boyle redefined the word “element” to describe a substance that cannot be degraded into simpler forms by chemical reaction. His definition not only liberated the word from its erroneous Aristotelian origins, but it survived for a full 300 years—during which it was used in the invention of the periodic table—until _________________________
- A. giving ambitious young professionals the opportunity to advance their careers.
- B. inspiring women to break through the glass ceiling to achieve financial windfalls.
- C. with an increased level of interest leading up to military conflicts.
- D. promising unsuspecting targets the chance at great wealth—for a cost. ✓
Explanation: The passage describes how Robert Boyle's definition of an "element" remained in use for 300 years, specifically mentioning its role in the invention of the periodic table; choice (D) logically completes this by identifying the historical endpoint where alchemists and early chemists exploited these concepts to sell fraudulent elixirs or transmutation schemes. This fits the narrative of scientific progress being co-opted for deception before the modern understanding of elements finally rendered such scams obsolete. The other options are incorrect because they introduce unrelated themes like career advancement, gender equality, or military conflict, which do not follow from the context of chemical definitions and the periodic table.
🧪 AP Chemistry
Easy
HCl + H _{2} O → H _{3} O ^{+} + Cl ^{−}
Which of the following best explains the relationship between conjugate acid-base pairs in the reaction above?
- A. The acid and the base differ by one proton (H ^{+} ion).
- B. The conjugate base differs from the base by one proton (H ^{+} ion).
- C. The conjugate base differs from the acid by one proton (H ^{+} ion). ✓
- D. The conjugate acid and conjugate base differ by one proton (H ^{+} ion).
Explanation: Conjugate pairs only differ by one proton. The termsacidandbaseandconjugate acidandconjugate basedo not describe conjugate pairs (see answer 337 for an explanation of why these terms exist). Conjugate pairs consist of either an acid and its conjugate base (which contains one less proton than its acid) OR a base and its conjugate acid (which contains one more proton than its base).
🧬 AP Biology
Medium
Which of the following correctly describes how to calculate a 95% confidence interval?
- A. Mean ± 1(Standard Deviation)
- B. Mean ± 1(Standard Error of the Mean)
- C. Mean ± 2(Standard Deviation)
- D. Mean ± 2(Standard Error of the Mean) ✓
Explanation: A 95% confidence interval estimates the range within which the true population mean likely falls, calculated as the sample mean plus or minus two times the Standard Error of the Mean (SEM). This formula relies on the SEM rather than the standard deviation because it accounts for sampling variability to infer population parameters. While "Mean ± 2(Standard Deviation)" approximates a 95% range for individual data points in a normal distribution, confidence intervals specifically address the precision of the mean estimate using the SEM.
💡 Study Tips
📖 Use flashcards for active recall
Flashcards work because they force retrieval practice. For best results, shuffle them each session, separate cards you know well from ones you don't, and review the difficult pile more often.
🎯 Eliminate before you guess
On multiple-choice questions, crossing out answers you know are wrong before guessing dramatically improves your odds. Even eliminating one option on a four-choice question raises your chance from 25% to about 33%.
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