Question: What is the sum of odd integers from 35 to 85, inclusive?

A) 1,560
B) 1,500
C) 1,240
D) 1,120
E) 1,100

Correct Answer: (A)

Solution and Explanation:
Approach Solution 1:

The problem statement asks to find the sum of odd integers from 35 to 85.

To solve the sum, we need to find the number of odd integers from 35 to 85.
Therefore, number of odd integers = (85-35)/2 + 1 = 50/2 + 1 = 26

Then, Sum of odd integers = (35+85)/2 * 26 = 60 * 26 = 1560

Approach Solution 2:

The problem statement asks to find the sum of odd integers from 35 to 85.

We can solve the sum also in this approach:
∑= nc + ½ ni(n−1)

Where n is the number of integers within the set, c is the initial value, and i is the interval or space between successive integers.
Since, number of odd integers = (85-35)/2 + 1 = 50/2 + 1 = 26, therefore, we can write it as:

=> ∑=(26)(35)+½ (26)(2)((26)−1)
=> ∑=910+26(25)
=> ∑=910+650
=> ∑=1,560

Therefore, the sum of odd integers from 35 to 85 = 1560

Approach Solution 3:

The problem statement asks to find the sum of odd integers from 35 to 85.
The formula of the sum of the odd integers from 35 to 85, inclusive, is as follows:
Sum = avg x quantity

Therefore, from the given conditions of the question, we can write,
Sum = (85 + 35)/2 * (85 - 35)/2 + 1
Sum = 120/2 * 50/2 + 1
Hence, Sum = 60 * 26 = 1560

“What is the sum of odd integers from 35 to 85, inclusive?''- is a topic of the GMAT Quantitative reasoning section of the GMAT exam. This question has been taken from GMAT Official Guide Quantitative Review 2020. GMAT Problem Solving questions consider how well the candidates can interpret mathematical problems. GMAT Quant practice papers represent numerous quantitative problems that tend to increase the mathematical skills of the candidates.

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