Which of the following shows correct value of x, such that the two expressions given below are equal. I) a+b - c/x + 4c - 3a + 2b/b II) a+b + 4c + 2b/b - c/a - 3a
Correct answer: A. a
- A. a
- B. c
- C. b
- D. 2
Explanation
Equate both the expressions a+b - c/x + 4c - 3a + 2b/b = a+b + 4c + 2b/b - c/a - 3a Solve for the value of x. Combine like terms: a - 3a + b + 4c -c/x + 2b/b = a - 3a + b + 4c +2b/b - c/a Simplify further: -2a + b + 4c - c/x + 2 = -2a + b + 4c + 2 - c/a Now, subtract −2a+b+4c+2 from both sides to isolate the c/x term: c/x = -c/a Finally, divide both sides by −c to solve for x: x=a
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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