The Average of Temperature At Noon Time From Monday to Friday is 50 GMAT Problem Solving

Question: The average of temperature at noon time from Monday to Friday is 50; the lowest one is 45, what is the possible maximum range of temperatures?

  1. 20
  2. 25
  3. 40
  4. 45
  5. 75

“The average of temperature at noon time from Monday to Friday is 50; the lowest one is 45, what is the possible maximum range of temperatures?”- 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.

Answer:
Approach Solution (1):

There are 5 days so the sum of temperature can be 50 * 5 = 250
Lowest is 45. To find the maximum range we can say the temperature was the lowest for 4 of the 5 days
So 4 * 45 = 180
On the fifth day, it is 250 – 180 = 70
Range is therefore 70 – 45 = 25

Correct option: B
Approach Solution (2):

45 + a + b + c + d = 250
We want to maximize a single variable, which will maximize the range.
Assume, a = b = c = 45
250 – 4 * 45 = 70
Rang = 70 – 45 = 25

Correct option: B

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