A number when divided by 7 leaves a remainder 4. What will be the remainder when the square of the same number is divided by 7?
Given:
A number leaves a remainder 4 when divided by 7,
Concept Used:
Dividend = Divisor × quotient + remainder
Solution:
Let the number be x
So,
x =7k + 4 for some integer k
minimum possible value of k = 1
x = 7(1) + 4 = 11
Now, dividing (11)2 by 7
121 ÷ 7 gives 2 as a remainder
English
100 Questions
100 Marks
90 Mins English English100 Questions100 Marks90 Mins English English100 Questions100 Marks90 Mins EnglishThe greatest number that divides 63, 75 and 93 leaving remainder 3 in each case is:
Write the largest 5 digit number which when divided by 469 leaves 3 as remainder
The greatest number that will divide 527 and 632 leaving remainders 7 and 8, respectively, is:
Find the greatest number that will divide 49, 97 and 189 so as to leave the same remainder in each case.
What is the greatest number which when divides 92 and 215, leaves remainders 7 and 11, respectively?
Suggested Test Series
Suggested Test Series
The greatest number that divides 63, 75 and 93 leaving remainder 3 in each case is:
Write the largest 5 digit number which when divided by 469 leaves 3 as remainder
The greatest number that will divide 527 and 632 leaving remainders 7 and 8, respectively, is:
Find the greatest number that will divide 49, 97 and 189 so as to leave the same remainder in each case.
What is the greatest number which when divides 92 and 215, leaves remainders 7 and 11, respectively?
