The Formula F = 9/5 * C + 32 Gives the Relationship between the Temperature GMAT Problem Solving

Question: The formula F = 9/5 * C + 32 gives the relationship between the temperature in degrees Fahrenheit, F and the temperature given in degree Celsius, C. If the temperature is 85 degrees Fahrenheit, what is the temperature, to the nearest degree, in degree Celsius?

1. 18 C
2. 23 C
3. 29 C
4. 47 C
5. 51 C

“The formula F = 9/5 * C + 32 gives the relationship between the temperature in degrees Fahrenheit, F and the temperature given in degree Celsius, C. If the temperature is 85 degrees Fahrenheit, what is the temperature, to the nearest degree, in degree Celsius?”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Official Guide Quantitative Review”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge.

Solution and Expalantion:

Approach Solution (1):

\(F=\frac{9}{5}C+32\)

If F = 85, then \(85=\frac{9}{5}C+32\)

\(53=\frac{9}{5}C\)

\(C=53*\frac{5}{9}\approx54*\frac{5}{9}=30\)

Correct Answer: C

Approach Solution (2):

Alternative approach, work around by plugging in the options as this question talks about approximate values.

Use option (C) the middle value (as the options are in ascending order)

\(F=\frac{9}{5}C+32\)

OR

\(30*\frac{9}{5}+32=86\)

Correct Answer: C

Approach Solution (3):

Option A: C = 18. Then F = (2 * 18) + 32 = 68

Option B: C = 23. Then F = (2 * 23) + 32 = 46 + 32 = 78

Option C: C = 29. Then F = (2 * 29) + 32 = 58 + 32 = 90

This value is closest to 85
We can check other options too, but it becomes unnecessary after this point.

Correct Answer: C

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