1. Quantitative Comparison Question (Click on 1 answer)
Question:
Quantity A: The average (arithmetic mean) of 3, 5, 7, and xQuantity B: The average (arithmetic mean) of 4, 6, 8, and 10
Explanation:Quantity A’s average is (3 + 5 + 7 + x)/4 = (15 + x)/4.Quantity B’s average is (4 + 6 + 8 + 10)/4 = 28/4 = 7.Set Quantity A equal to Quantity B to find the threshold: (15 + x)/4 = 7 → 15 + x = 28 → x = 13.If x = 13, both averages are 7 (equal). If x < 13, Quantity A is less; if x > 13, Quantity A is greater. Since x is not specified, the relationship depends on x’s value.Answer: D
2. Multiple-choice Question — Select One Answer Choice
Question:
A store offers a 20% discount on a shirt originally priced at $50. After the discount, a 10% sales tax is applied to the discounted price. What is the final price of the shirt?
Explanation:Original price = $50. Discount = 20% of $50 = $10. Discounted price = $50 – $10 = $40.Sales tax = 10% of $40 = $4. Final price = $40 + $4 = $44.Answer: C
3. Multiple-choice Question — Select One or More Answer Choices
Question:
Which of the following numbers are solutions to the equation x² – 5x + 6 = 0?Indicate all such numbers.
Explanation:Solve the quadratic equation x² – 5x + 6 = 0 by factoring: (x – 2)(x – 3) = 0.Solutions are x = 2 and x = 3.
Alternatively, test each option:
A: 1² – 5(1) + 6 = 1 – 5 + 6 = 2 ≠ 0
B: 2² – 5(2) + 6 = 4 – 10 + 6 = 0 (valid)
C: 3² – 5(3) + 6 = 9 – 15 + 6 = 0 (valid)
D: 4² – 5(4) + 6 = 16 – 20 + 6 = 2 ≠ 0
E: 5² – 5(5) + 6 = 25 – 25 + 6 = 6 ≠ 0
Answer: B, C
4. Numeric Entry Question
Question:
A rectangular garden has a length that is 3 feet longer than its width. If the perimeter of the garden is 26 feet, what is the area of the garden in square feet?
Explanation:Let the width be w feet. Then length = w + 3.Perimeter = 2(width + length) = 2(w + (w + 3)) = 2(2w + 3) = 4w + 6 = 26.Solve: 4w + 6 = 26 → 4w = 20 → w = 5.Length = 5 + 3 = 8. Area = width x length = 5 x 8 = 40 square feet.Answer: 40
Verbal Reasoning Sample Questions
1. Sentence Equivalence Question (Click on 2 answers)
Question:
Despite the politician’s reputation for candor, her latest speech was criticized for being overly ______, leaving the audience uncertain about her true intentions.Select the two answer choices that, when used to complete the sentence, both fit the meaning of the sentence as a whole and produce completed sentences that are alike in meaning.
Explanation:
The sentence contrasts the politician’s reputation for candor (honesty) with criticism of her speech, suggesting it lacked clarity or directness. “Evasive” (B) and “ambiguous” (D) both imply a lack of clarity, creating sentences with similar meanings: the speech was unclear, obscuring her intentions. “Forthright” (A) and “transparent” (C) suggest clarity, contradicting the criticism. “Resolute” (E) implies determination, not relevant to clarity. “Vague” (F) is close but less precise than “ambiguous” in this context, and it doesn’t pair as well with “evasive” for equivalent meaning.
Answer: B, D
2. Boldface Question (Click on 1 answer)
Question:
The new policy on renewable energy has sparked debate. Supporters ,quite convincingly, argue that it will reduce carbon emissions significantly, citing studies showing a 30% decrease in emissions in similar initiatives. However, critics contend that the policy’s high costs outweigh its environmental benefits, pointing to the substantial budget increases required for implementation.
In the argument given, the two portions in boldface play which of the following roles?
Explanation:
The first boldface statement (“Supporters argue…”) is a claim that renewable energy reduces emissions, supported by the fact that the author finds the first argument ‘quite convincing’ and cites evidence of studies showing a 30% decrease. The second boldface statement (“Critics contend…”) presents an opposing view, claiming high costs outweigh benefits, supported by evidence of budget increases. The argument itself doesn’t endorse either side, just presents both claims with their respective evidence. Thus, the first is a claim supported by the argument, and the second is evidence for an opposing view. Option A fits best.
Answer: A
3. Text Completion Question (Two Blanks)
Question:
The scientist’s discovery was initially met with (i) ______ from peers, who found the theory too radical; however, subsequent experiments provided (ii) ______ evidence that validated her claims.
Blank (i):
Blank (ii):
Explanation:
For blank (i), the phrase “too radical” suggests peers doubted the theory, making “skepticism” (A) the best fit over “enthusiasm” (B) or “acclaim” (C), which imply positive reactions. For blank (ii), “validated her claims” indicates the evidence supported the theory, so “compelling” (E) fits, meaning strong and convincing. “Inconclusive” (D) suggests unclear results, and “contradictory” (F) implies evidence against the theory, both contradicting the sentence’s logic.
Answer: A, E
4. GRE Reading Comprehension Practice Question
Passage:
Impressionism, emerging in late 19th-century France, challenged traditional artistic conventions. Artists like Monet and Renoir prioritized light and color over precise detail, capturing fleeting moments through loose brushwork. Critics initially derided their work as unfinished, but the Impressionists sought to reflect sensory experience rather than objective reality. Their exhibitions, independent of the conservative Salon, gained traction among progressive collectors. By the 1880s, Impressionism influenced a broader shift toward modern art, inspiring movements like Post-Impressionism. Unlike their predecessors, Impressionists often painted en plein air, embracing natural light’s variability. This approach required rapid execution, as changing light altered a scene’s mood. The movement’s emphasis on perception over permanence resonated with a society grappling with industrialization’s rapid changes. While some contemporaries viewed Impressionism as radical, its legacy endures in how we understand art’s role in capturing the ephemeral. Word count: 150 Inference Question
Which of the following can be inferred about the Impressionists’ approach to painting, as described in the passage?
Explanation:
The passage states that Impressionists “prioritized light and color over precise detail” and aimed to “reflect sensory experience rather than objective reality.” This suggests they valued capturing transient sensory experiences, as reinforced by their en plein air painting and focus on light’s variability. Option C aligns with this. Option A contradicts the focus on light over detail. Option B is incorrect, as they exhibited independently of the Salon. Option D is wrong, as Impressionism preceded and inspired Post-Impressionism, not competed with it. Option E misstates their use of natural light.
Answer: C
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