More Questions from Simplification

Water boils at 212°F or 100°C and melts at 32°F or 0°C. If the temperature of a particular day is 35°C, it is equivalent to

Aptitude Simplification Difficulty: Easy
Choose an option
  • A
    85°F
  • B
    90°F
  • C
    95°F
  • D
    99°F

Answer

Correct Answer: 95°F

Explanation

### Concept & Formula The question provides the boiling and freezing points to help derive or recall the standard temperature conversion formula between Celsius and Fahrenheit. $$F = \frac{9}{5}C + 32$$ ### Step-by-Step Solution * **Given:** * Celsius temperature ($C$) = 35°C * **Calculation:** 1. Substitute the given Celsius value into the conversion formula: $F = \frac{9}{5}(35) + 32$ 2. Perform the multiplication/division first: $F = 9 \times 7 + 32$ $F = 63 + 32$ 3. Add to find the final Fahrenheit temperature: $F = 95$ ### Exam Strategy & Shortcut A great mental math shortcut for Celsius to Fahrenheit is: "Double it and add 30." This gives a very close approximation. Double 35 is 70. Add 30 is 100°F. Since this is an approximation, the real answer is slightly lower. Looking at the options, 95°F is the closest logical answer. (The exact mental math correction is to double it, subtract 10% of that doubled value, then add 32. $70 - 7 + 32 = 95$). ### Common Pitfall Students often confuse the order of operations or the fraction, using $5/9$ instead of $9/5$, or adding 32 before multiplying. This will yield completely incorrect distractors. Always remember the fraction $9/5$ is slightly less than 2. ### Final Answer **Therefore, the correct answer is 95°F.**
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