Loading...

Lesson: Challenging Problem Solving - 13t08

Advanced Number Properties: Know The Rules

[Page 13 of 37]

Picking Numbers works well on many Number Properties questions, but sometimes it's necessary to know Number Property rules in order to solve a problem. At other times, familiarity with the rules will help get you to the correct answer more efficiently. For the following Roman Numeral question, we will focus on the Number Property rules that are being tested. Review the question and then proceed to the task below.

If the sum of prime numbers x and y is an odd number, which of the following CANNOT be true?

I. y2 is odd
II. xy is odd
III. is an integer

None
I only
III only
I and II
II and III
This question stem suggests that two Number Properties concepts will be central to solving this problem. What are they?

1:

2:

We have identified the two Number Properties concepts with which we're dealing. Now we must figure out how they apply to the question at hand. Our first rule involves odd/even number combinations. Which of the following odd/even combinations results in an odd number? Select all combinations that apply and then click Continue.

Which of the following odd/even combinations results in an odd number?

even + even

odd + odd

even + odd (or odd + even)

Our second rule involves prime numbers. What do we know about the properties of prime numbers? Use your knowledge of prime numbers to complete the rule below, and then click Continue.

is the only prime number; all other prime numbers are .

Now use what we've learned about x and y to evaluate each statement. Since each statement appears in the answer choices the same number of times, let's begin with the statement that seems easiest to handle. Statement II involves simple subtraction, so let's begin with this statement. Select the correct answer below, and then click Continue.
II. xy is odd
  Statement II CAN be true Statement II CANNOT be true    
At this point it looks like we will need to evaluate both of the remaining statements to get the correct answer. Let's try Statement I next. Select the correct answer below, and then click Continue.
I. y2 is odd
  Statement I CAN be true
  Statement I CANNOT be true
div>
Back Next

Next to display next topic in the chapter.

Video Lessons and 10 Fully Explained Grand Tests

Large number of solved practice MCQ with explanations. Video Lessons and 10 Fully explained Grand/Full Tests.

Current Menu
More for You
All in this Category

You may be interested in

PAF College Lower Topa

How to get admission in PAF College ...

Colleges in Peshawar

Find a comprehensive list of major ...

Ask your Boss for Promotion

Write a promotion letter. Learn to ...

Study in Cyprus

How to get opportunity to study in ...

Join Pakistan Air Force

How you can join Pakistan Air Force ...

ISSB Direction Sens Questions

Learn about ISSB Direction Sens Que ...

DMCD - BDS

De Montmorency College of Dentistry ...

GMC Gomal Medical College

Gomal Medical College is situated i ...