How Much is the Greatest of Five Consecutive Even Integers Greater than the Smallest? GMAT Problem Solving

Topic: By how much is the greatest of five consecutive even integers greater than the smallest among them?

1. 1
2. 2
3. 4
4. 8
5. 10

“How Much is the Greatest of Five Consecutive Even Integers Greater than the Smallest? GMAT Problem Solving” - 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 number of qualitative skills. The GMAT Quant section consists of 31 questions in total. The GMAT quant topics in the problem-solving part require calculative mathematical problems that should be solved with proper mathematical knowledge.

Solution and Explanation:

Approach Solution 1:

 It is asked By how much is the greatest of five consecutive even integers greater than the smallest among them?

Let us evaluate further
Evaluating further –
Having said that,
Let us see what is given and asked to find
It is Given= Five consecutive even integers
It is asked To Find= The different the smallest and greatest number
Let us solve further
Let us assume the five consecutive even integers as 2,4,6,8,10
The Greatest number is 10 and the lowest number is 2
The Difference between The Greatest number and the lowest number is
=10-2
=8
Therefore the difference is 8 which is constant when the greatest and smallest number is subtracted

The answer is D which is 8

Approach Solution 2:

There is another approach to answering this question

Let us say if x is the smallest integer than the remaining four integers will be
x, x+2, x+4, x+6, x+8
Therefore
Largest integer - shortest integer
x+8 - x
=8

The answer is D which is 8.

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