Daily Practice Questions

6 questions across multiple subjects, with detailed explanations and study tips.

📝 Questions

🎓 GRE Prep Medium
Despite the smile that spread from ear to ear, her eyes relayed a certain.
  1. A. jubilance
  2. B. sorrow ✓
  3. C. mischievousness
  4. D. vision
  5. E. liveliness
Explanation: The sentence describes a smile 'spread from ear to ear' but says her eyes relayed something else—indicating a contradiction between outward appearance and inner feeling. 'Sorrow' fits as the hidden emotion behind a forced or insincere smile, a common rhetorical device in GRE vocabulary questions.
⚛️ AP Physics C Medium
If a constant net force F causes an object to accelerate from rest to a final velocity of v while moving a distance Δ x , what is the object’s mass?
  1. A. 2\Delta xF/v_f^2
  2. B. 2Δ xF / v _{f}
  3. C. \Delta xF/v_f^2
  4. D. Δ xF / v _{f} ✓
  5. E. Not enough information is given.
Explanation: To find the mass, we combine Newton's second law ($F = ma$) with the kinematic equation relating velocity, acceleration, and distance ($v_f^2 = v_i^2 + 2a\Delta x$). Since the object starts from rest ($v_i = 0$), solving for acceleration gives $a = v_f^2 / (2\Delta x)$. Substituting this into $m = F/a$ yields $m = F / [v_f^2 / (2\Delta x)]$, which simplifies to $2F\Delta x / v_f^2$. However, looking at the provided choices and the marked correct answer (D), there appears to be a discrepancy in the standard derivation versus the options; typically, the correct algebraic result is $2F\Delta x/v_f^2$ (Choice A). If Choice D ($F\Delta x/v_f$) is designated as correct in this specific context, it implies a different relationship or a typo in the question's provided answer key, as standard physics principles dictate that mass must be proportional to force and distance but inversely proportional to the square of velocity. Assuming the standard derivation holds, Choice (A) represents the physically correct formula derived from work-energy theorem ($W = \Delta KE \Rightarrow F\Delta x = \frac{1}{2}mv_f^2$).
🧬 AP Biology Hard
Which point on the diagram most likely represents a point in which the population is growing exponentially?
  1. A. A
  2. B. B
  3. C. C ✓
  4. D. D
Explanation: Exponential growth is when the rate of population growth is the greatest. On this graph, exponential growth is shown at point C. Choices (A) and (B) represent points during the lag phase of growth, so those choices are incorrect. The carrying capacity of the environment is represented by point D, so choice (D) is incorrect.
🧪 AP Chemistry Medium
This ion will generate gas bubbles upon the addition of hydrochloric acid.
  1. A. Cu ^{2+}
  2. B. CO _{3} ^{2–} ✓
  3. C. Fe ^{3+}
  4. D. Al ^{3+}
Explanation: B —Carbonates produce carbon dioxide gas in the presence of an acid. None of the other ions will react with hydrochloric acid to produce a gas.
🎯 GMAT Prep Easy
What is the volume of a certain rectangular solid?
  1. A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
  2. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
  3. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
  4. D. EACH statement ALONE is sufficient. ✓
  5. E. Statements (1) and (2) TOGETHER are not sufficient.
Explanation: Statement (1) provides the dimensions of the base and the height, which allows you to calculate volume directly using $V = \text{length} \times \text{width} \times \text{height}$. Statement (2) gives the area of the base and the height, which is also sufficient because multiplying these two values yields the volume. Since each statement independently provides all necessary information to solve for the volume, EACH statement ALONE is sufficient.
✍️ AP English Language Easy
In the opening paragraph (lines 1–15), which of the following best characterizes the speaker’s justification for choosing the topic of his talk?
  1. A. His teaching experience—although limited—has been exceptionally gratifying.
  2. B. Students apparently have an interest in contemporary poets.
  3. C. He has been charmed by young people’s attention to his poetry.
  4. D. He is intrigued by the lives of youngsters who have written him letters.
  5. E. He is puzzled by the rationale behind the letters written to him by students. ✓
Explanation: 16. (E) The speaker explains in lines 12–13: “It is in a spirit of curiosity . . . that I approach the subject of teaching poetry.” He also wants to know more about the young people, their teachers, and the current teaching methods (lines 13–15).

💡 Study Tips

📖 Teach concepts using diagrams

Drawing concept maps, flowcharts, or diagrams helps you see relationships between ideas that aren't obvious in linear notes. This approach works for everyone and strengthens conceptual thinking.

📖 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.

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