SATHEE: Quantitative Aptitude Ques 2180

Quantitative Aptitude Ques 2180

Question: The sum of five consecutive numbers is 250. What is the difference between the sum of the smallest and the largest number and the square of the middle number?

Options:

A) 2500

B) 2200

C) 2000

D) 2600

E) None of these

Show Answer

Answer:

Correct Answer: E

Solution:

Let the five consecutive numbers be x, $ x+1, $ $ x+2, $ $ x+3, $ and $ x+4, $ respectively, Then, $ x+x+1+x+2+x+3+x+4=250 $

$ \Rightarrow $ $ 5x+10=250 $

$ \Rightarrow $ $ 5x=250-10 $

$ \Rightarrow $ $ 5x=240 $
$ \Rightarrow $ $ x=\frac{240}{5}=48 $ Middle number $ =48+2=50 $

$ \therefore $ Required difference $ =50^{2}-48-52=2400 $

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Quantitative Aptitude Ques 2180

Question: The sum of five consecutive numbers is 250. What is the difference between the sum of the smallest and the largest number and the square of the middle number?

Options:

Answer:

Solution:

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