Question : A number when divided by 7 leaves a remainder of 4. If the square of the same number is divided by 7, then what is the remainder?
Option 1: 3
Option 2: 1
Option 3: 4
Option 4: 2
Correct Answer: 2
Solution :
Given, a number when divided by 7 leaves a remainder of 4.
Let the number be 7x + 4
Square of number = (7x + 4)
2
= 49x
2
+ 56x + 16
Since, 49x
2
+ 56x is divisible by 7
Remainder when this number is divided by 7 = Remainder when 16 is divided by 7 = 2
Hence, the correct answer is 2.
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