What is the Sum of First 10 Non-Negative Even Integers GMAT Problem Solving

Question: What is the sum of first 10 non-negative even integers?

1. 40
2. 90
3. 100
4. 110
5. 200

“What is the sum of first 10 non-negative even integers?”- 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):

We want: 0 + 2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18

Let’s add the 10 values in pairs, starting with the two outermost values and working inwards.

Notice that 0 + 18 = 18

And 2 + 16 = 18

And 4 + 14 = 18

In fact, when we add the values like this every pair adds to 18

We want: 0 + 2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18

There are 10 values, so there are 5 pairs (all of which add to 18)

So the sum = 5 * 18 = 90

Correct option: B

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