Answer :

To find the least perfect square which leaves the remainder 1 when divided by 7 as well as by 11:


L.C.M. of 7 and 11 = 77


Then, required number is of the form = 77x + 1 where x = 1, 2, 3, 4, and so on.



342 = 1156


Hence, 1156 is the least perfect square which leaves the remainder 1 when divided by 7 as well as by 11.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Consider all inteKarnataka Board - Mathematics Part I

The number of perKarnataka Board - Mathematics Part I

Match the numbersKarnataka Board - Mathematics Part I

The last digit ofKarnataka Board - Mathematics Part I

Write the digit iKarnataka Board - Mathematics Part I

Find the squares Karnataka Board - Mathematics Part I

Which could be thKarnataka Board - Mathematics Part I

Find the squares Karnataka Board - Mathematics Part I

What is the leastKarnataka Board - Mathematics Part I

Can 1010 be writtKarnataka Board - Mathematics Part I