a boy with a collection of marbles realizes that if he makes a group of 5 or 6 marbles at a time there are always 2 marbles left can you explain why the boy cannot have prime number of marbles

Question

Ashwin · Answer

Hi, let n be any number therefore, Accourding to question , number of marbles is 5n+2 or 6m+2 , => marbles are a multiple of 5 or 6 plus 2 marbles. From this we can conclude that the number of marbles must be a multiple 5x6 or 30 plus even number 2. Hence number of marbles cannot be a prime number. Regards, Ashwin

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

a boy with a collection of marbles realizes that if he makes a group of 5 or 6 marbles at a time there are always 2 marbles left can you explain why the boy cannot have prime number of marbles

a boy with a collection of marbles realizes that if he makes a group of 5 or 6 marbles at a time there are always 2 marbles left can you explain why the boy cannot have prime number of marbles

1 Answers

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

Other Related Questions on 10 grade maths

ASK QUESTION

Answer and earn gift vouchers

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship