# If the smaller of 2 consecutive odd integers is a multiple of 5, which of the following could NOT be the sum of these 2 integers? – OGQR 2020 Question #86 with Solution

## OGQR 2020: Question No. 86

If the smaller of 2 consecutive odd integers is a multiple of 5, which of the following could NOT be the sum of these 2 integers?

 Source OGQR 2020 Type Problem Solving Topic Number Property Sub-Topic Even – Odd Difficulty Medium

### Solution

#### Given

In this question, we are given

• The smaller of 2 consecutive odd integers is a multiple of 5.

#### To Find

We need to determine

• Among the given options, which one could not be the sum of those 2 consecutive odd integers.

#### Approach & Working

Let us assume that the smaller of the 2 consecutive odd number is 5k, where k is an odd number.

• Therefore, the other integer must be 5k + 2.
• And, their sum is 5k + 5k + 2 = 10k + 2

Now, let’s check the options individually.

• If 10k + 2 = -8, then 10k = -10 or, k = -1, which is an odd number
• If 10k + 2 = 12, then 10k = 10 or, k = 1, which is an odd number
• If 10k + 2 = 22, then 10k = 20 or, k = 2, which is an even number
• If 10k + 2 = 52, then 10k = 50 or, k = 5, which is an odd number
• If 10k + 2 = 252, then 10k = 250 or, k = 25, which is an odd number

As k is an odd number, k cannot be equal to 2.

Hence, the correct answer is option C.

Did you know a 700+ GMAT Score can increase your chances to get into your dream business school? We can help you achieve that. Why don’t you try out our FREE Trial? We are the most reviewed online GMAT Preparation company in GMATClub with more than 1950 reviews as of November 2020. Payal Tandon 