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

Suggested GMAT Problem Solving:

• An “Armstrong Number” is an n-Digit Number That is Equal to the Sum of the nth Powers GMAT Problem Solving
• A train crosses a bridge of length 500 m in 40 seconds and a lamp post on the bridge in 15 seconds GMAT Problem Solving
• A Train can Travel 50% Faster than a Car GMAT Problem Solving
• A rectangle is inscribed in a hexagon that has all sides of equal length and all angles of equal measure GMAT Problem Solving
• A Positive Integer Is Divisible by 9 If And Only If The Sum of Its Digits is Divisible By 9 GMAT Problem Solving
• The two lines are tangent to the circle GMAT Problem Solving
• In a Certain Population, There are 3 Times as Many People Aged Twenty-One or Under GMAT Problem Solving
• In How Many Different Ways can 3 Identical Green Shirts and 3 Identical Red Shirts be Distributed Among 6 Children GMAT Problem Solving
• The Interior of a Rectangular Carton is Designed by a Certain Manufacturer GMAT Problem Solving
• How Many Factors of 80 are Greater Than√8080? GMAT Problem Solving
• If ‘A’ Can Complete a Task in 3 Hours and ‘B’ Can Complete the Same Task in 6 Hours GMAT Problem Solving
• If A Equals the Sum of the Even Integers from 2 to 20, Inclusive GMAT Problem Solving
• A Store Currently Charges The Same Price for Each Towel That It Sells. GMAT Problem Solving
• What is the Value of [ √ 7 + √ 29 − √ 7 − √ 29 ] 2 GMAT Problem Solving
• What is The Area of a Triangle with the Following Vertices GMAT Problem Solving
• The Product of the Five Smallest Two-Digit Prime Numbers GMAT Problem Solving
• The Square of 5^√2 =? GMAT Problem Solving
• Two Adjacent Angles of a Parallelogram are in the Ratio of 1:3 GMAT Problem Solving
• Which of The Following is a Perfect Cube? GMAT Problem Solving
• If a Right Angled Isosceles Triangle Has an Area of 2x^2 + 2x + ½. GMAT Problem Solving