If p is a positive integer such that the remi...
If p is a positive integer such that the reminder when 4p divided by 9 is 5, then a possible value of p is?
If p is a positive integer such that the reminder when 4p divided by 9...
Problem: Find a possible value of p if the reminder when 4p is divided by 9 is 5.

Solution:

Step 1: Understanding the problem

We need to find a positive integer p such that when 4p is divided by 9, the remainder is 5.

Step 2: Using the concept of remainders

We know that if a number n is divided by d, then the remainder r is such that 0 <= r="">< d.="" />

In this case, we are given that the remainder when 4p is divided by 9 is 5.

This means that 4p can be written as 9q + 5, where q is some integer.

Simplifying this equation, we get:

4p = 9q + 5

=> 4p - 5 = 9q

Step 3: Finding a possible value of p

We need to find a positive integer p that satisfies the above equation.

We can use trial and error method to find a possible value of p.

Let's start by assuming q = 1.

=> 4p - 5 = 9

=> 4p = 14

=> p = 3.5

Since p has to be a positive integer, this value of p is not valid.

Let's try with q = 2.

=> 4p - 5 = 18

=> 4p = 23

=> p = 5.75

Again, this value of p is not valid as p has to be a positive integer.

Let's try with q = 3.

=> 4p - 5 = 27

=> 4p = 32

=> p = 8

This value of p satisfies the given condition as the remainder when 4p is divided by 9 is 5.

Step 4: Conclusion

Therefore, a possible value of p is 8.

If p is a positive integer such that the reminder when 4p divided by 9...
Since remainder is 5 then 4p-5 /9 should be divisible soo by using trial and error 4*8 = 32 -5 = 27 is divisble by 9 so p =8

### Learn this topic in detail More from Related Course Quantitative Aptitude (Quant) View courses related to this question
 1 Crore+ students have signed up on EduRev. Have you?
1 Crore+ students have signed up on EduRev. Have you?

### Quick links for CAT exam 850+
Video Lectures 2500+
Revision Notes 600+
Online Tests 10,000+
Doubts Solved
If p is a positive integer such that the reminder when 4p divided by 9 is 5, then a possible value of p is?
Question Description
If p is a positive integer such that the reminder when 4p divided by 9 is 5, then a possible value of p is? for CAT 2023 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about If p is a positive integer such that the reminder when 4p divided by 9 is 5, then a possible value of p is? covers all topics & solutions for CAT 2023 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If p is a positive integer such that the reminder when 4p divided by 9 is 5, then a possible value of p is?.
Solutions for If p is a positive integer such that the reminder when 4p divided by 9 is 5, then a possible value of p is? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of If p is a positive integer such that the reminder when 4p divided by 9 is 5, then a possible value of p is? defined & explained in the simplest way possible. Besides giving the explanation of If p is a positive integer such that the reminder when 4p divided by 9 is 5, then a possible value of p is?, a detailed solution for If p is a positive integer such that the reminder when 4p divided by 9 is 5, then a possible value of p is? has been provided alongside types of If p is a positive integer such that the reminder when 4p divided by 9 is 5, then a possible value of p is? theory, EduRev gives you an ample number of questions to practice If p is a positive integer such that the reminder when 4p divided by 9 is 5, then a possible value of p is? tests, examples and also practice CAT tests.
Do you know? How Toppers prepare for CAT Exam
With help of the best CAT teachers & toppers, We have prepared a guide for student who are preparing for CAT : 15 Steps to clear CAT Exam (Scan QR code)