Which number when squared is increased by 500%?
Correct answer: B. 6
- A. 5
- B. 6
- C. 7
- D. 10
Explanation
To solve this question, we need to find the number that, when squared, increases by 500% compared to its original value.First, understand that a 500% increase means the final value is 6 times the original (100% original + 500% increase = 600% total).Let's analyze the correct option:For 6: When squared, 6 becomes 36. The percentage increase is calculated as: (36 - 6) / 6 x 100 = 500%. This confirms that squaring 6 results in a 500% increase.Now, examine the incorrect options:Option 5: Squaring 5 gives 25, which increases by 400%.Option 7: Squaring 7 gives 49, which increases by 600%.Option 10: Squaring 10 gives 100, which increases by 900%.Thus, 6 is the only number that, when squared, increases by exactly 500%.
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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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