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How Many Even Multiples of 9 are there from 1–1,000, Inclusive? GMAT Problem Solving

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Sayantani Barman

Experta en el extranjero | Updated On - Feb 8, 2023

Question: How many even multiples of 9 are there from 1–1,000, inclusive?

A) 55
B) 56
C) 109
D) 110
E) 111

Answer: E
Solution and Explanation:
Approach Solution 1:

You must use the information provided in the question to solve this GMAT problem-solving question. The issues in this category come from a variety of mathematical disciplines. Particularly, this one comes from circles.
The choice is presented in a way that makes it challenging to choose the right response. The candidates must understand the proper strategy to obtain the needed response. Out of the five options provided, only one is accurate.
111 words total, which might be a multiple of 9.
There will be five even and five odd numbers in the series' first ten.
Now if we try to normalize this to 100 numbers.
Out of 100 numbers, 55 will now be even and 55 will be odd.
It'll be strange in the 111th term.
A is the correct answer.

Approach Solution 2:
You must use the information provided in the question to solve this GMAT problem-solving question. The issues in this category come from a variety of mathematical disciplines. Particularly, this one comes from circles.
The choice is presented in a way that makes it challenging to choose the right response. The candidates must understand the proper strategy to obtain the needed response. Out of the five options provided, only one is accurate.
By first locating the lowest multiple of 18 in the set and subsequently the largest multiple of 18, it is possible to calculate the total number of even multiples of 9 (or, more specifically, multiples of 18) from 1 to 1,000, inclusive. These numbers are 18 and 990, respectively, as can be seen. Then we count how many multiples of 18 there are in the set:
(990 - 18)/18 + 1 = 972/18 + 1 = 55
A is the correct answer.

Approach Solution 3:
You must use the information provided in the question to solve this GMAT problem-solving question. The issues in this category come from a variety of mathematical disciplines. Particularly, this one comes from circles.
The choice is presented in a way that makes it challenging to choose the right response. The candidates must understand the proper strategy to obtain the needed response. Out of the five options provided, only one is
accurate.
The range of even multiples of 9 is as follows: 9 * 2, 9 * 4, 9 * 6,..., 9 * 110
If you take into account 2,4,6,....,110, you can see that 110 is the 55th term because the nth term equals 2n.
There are 55 even multiples of 9 as a result.
A is the correct answer.

“How many even multiples of 9 are there from 1–1,000, inclusive?" - is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been borrowed from the book “GMAT Official Guide Quantitative Review”.
To understand GMAT Problem Solving questions, applicants must possess fundamental qualitative skills. Quant tests a candidate's aptitude in reasoning and mathematics. The GMAT Quantitative test's problem-solving phase consists of a question and a list of possible responses. By using mathematics to answer the question, the candidate must select the appropriate response. The problem-solving section of the GMAT Quant topic is made up of very complicated math problems that must be solved by using the right math facts.

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*The article might have information for the previous academic years, please refer the official website of the exam.

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