# Number Properties Puzzle -Critical Thinking 3

This is a great critical thinking challenge for those who love math challenges and puzzles. Let's see if you can solve it! Time to challenge your brain!

## Challenge:

When number y is divided by 7, the remainder equals to the quotient. What is the greatest value of y?

### The Absolute Best Book to challenge your Smart Student!

The correct answer is 48.

First, let’s find some values of y. Let’s choose the smallest possible value for the quotient. It’s 0. Then, the remainder should also be 0. Therefore, the number y should be 0.

0 × 7 + 0 = 0

To find the next value of y, you should choose 1 for both quotient and remainder. Then, the value of y is 8.

1 × 7 + 1 = 8

What is the next value of y?

It’s 16. 2 × 7 + 2 = 16

Using the same pattern, you can find other values of y.

3 × 7 + 3 = 24

4 × 7 + 4 = 32

5 × 7 + 5 = 40

6 × 7 + 6 = 48

It is possible to choose 7 for both quotient and remainder?

Since, the remainder cannot be equal to the divisor (it’s 7 here), therefore, the greatest number you can choose for both quotient and remainder is 6. Then, the greatest value of y is 48.

When you divide 48 by 7, both quotient and remainder are 6.

The Absolute Best Books to Ace AlgebraOriginal price was: $29.99.$19.99Current price is: $19.99.Original price was: $29.99.$14.99Current price is: $14.99.Original price was: $29.99.$14.99Current price is: $14.99.Satisfied 1 StudentsOriginal price was: $24.99.$14.99Current price is: $14.99.Satisfied 92 StudentsOriginal price was: $24.99.$15.99Current price is: $15.99.Satisfied 125 Students

## Related to This Article

### More math articles

- What Level of Maths Is Tested on the PSAT/NMSQT®?
- 6th Grade ACT Aspire Math Practice Test Questions
- The Ultimate SSAT Upper-Level Math Course (+FREE Worksheets)
- Top 10 3rd Grade STAAR Math Practice Questions
- How to Find the Domain and Range of Quadratic Functions
- What does PSAT Stand for?
- A Comprehensive Collection of FREE PSAT Math Practice Tests
- Hоw tо Choose thе Right Calculator fоr High Sсhооl
- Best Laptop Tables and Carts for online teaching
- How to Use Strip Models to Add Fractions with Like Denominators

## What people say about "Number Properties Puzzle -Critical Thinking 3 - Effortless Math: We Help Students Learn to LOVE Mathematics"?

No one replied yet.