Payal Tandon
A 4 min read Question: By how much does the larger root of the equation 2xĀ² + 5x = 12 exceed the smaller root? Options: (A) 5/2 (B) 10/3 (C) 7/3 (D) 14/3 (E) 11/2 Solution section: Solution: Translate the problem requirements:...
Read MoreA 4 min read Question: For each positive integer n, p(n) is defined to be the product of the digits of n. For example, p(724) = 56 since 7 Ć 2 Ć 4 = 56. Which of the following statements must be true? I. p(10n) = p(n) II. p(n+1)...
Read MoreA 4 min read If n = 9! – 6^4, which of the following is the greatest integer k such that 3^k is a factor of n? A. 1B. 3C. 4D. 6E. 8 Solution: Translate the problem requirements: We need to find the greatest integer k such...
Read MoreA 4 min read Question: The number sqrt(63-36sqrt(3)) can be expressed as x + y sqrt(3) for some integers x and y. What is the value of xy ? Options: A. – 18B. -6C. 6D. 18E. 27 Solution We found that (\sqrt{63-36\sqrt{3}} =...
Read MoreA 2 min read A research project has a successful outcome if its research is reported in a blind peer-reviewed academic publication. Can interdisciplinary collaborations on research projects at least sometimes produce a...
Read MoreA 2 min read What should generally be expected if you venture into areas surrounding a road closure? With a major G20 event happening at the Jawahar Lal Nehru Stadium tonight and reports of road closures in the area,...
Read MoreA 3 min read It has been proposed that teenagers aged 10 to 15 years be restricted to less than 2 hours per day engaging with social media. Would a significant number of teens aged 10 to 15 years get an overall developmental or...
Read MoreA 2 min read Is there a causal relationship between smoking and lung cancer? Research consistently shows a strong correlation between smoking and the development of lung cancerSome medical researchers support a proposed...
Read MoreA 3 min read Question: Does it benefit a company overall to invest in employee training? Companies that invest in comprehensive employee training programs often observe improved job performance among their workforce.Well-trained...
Read MoreA 4 min read A physically active lifestyle has been shown to help increase longevity. In the Wistar region of Bellaria, the average age at death is considerably higher than in any other part of the country. Wistar is the only...
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