How many perfect squares having digit 6 in the unit place are there between 1 and 600?

Detailed Solution ∴ The total number of perfect squares between 1 to 600 is 5.

Which number square have the unit digit 6?

Here, the unit digit is 4. So, multiplying 4 with 4, we get 16 whose unit digit is 6. So, the unit digit of the square of 1234 will be 6.

Can 6 be the unit digit of a perfect square?

Squares: There is a definite relationship between the unit digits when square of a number is considered, we will see that one by one. E.g. 81, 121, 441, 961 all are Perfect Square having unit digit 1 and tens digit is even.

What is the greatest 5 digit number which is a perfect square?

Hence, 99856 is the largest five- digit perfect square number.

How many factors of the number 4000 are perfect squares?

Out of these, 1, 4, 16, 25, 100 and 400 are perfect squares. ∴ Six factors of 4000 are perfect squares.

Which of the following has 6 as the units digit?

∴ 342 would have unit place digit as 6.

How do you find the unit digit of a square?

The unit digit of a perfect square can be only 0, 1, 4, 5, 6 or 9. The square of a number having: 1 or 9 at the units place ends in1. 2 or 8 at the units place ends in 4. 3 or 7 at the units place ends in 9.

Can a perfect square have a unit digit of 2?

– If unit digit of a number is 2 then it can’t be a perfect square. – If unit digit of a number is 3 then it can’t be a perfect square. – If unit digit of a perfect square is 4 then ten’s digit has to be Even. E.g. 64, 144, 484 all are Perfect Square having unit digit 4 and tens digit is even.

Which of the following is an example of a perfect square?

E.g. 25, 225, 625,1225 all are Perfect Square having unit digit 5 and tens digit is 2. – If unit digit of a perfect square is 6 then ten’s digit has to be Odd. e.g. 256, 576, 676, 1296 etc.

What is the square of a number ending in 6?

When a square number ends in 6, then the number whose square it is, will have 4 or 6 in its unit place. Write five numbers which you cannot decide just by looking at their unit’s digit (or one’s place) whether they are square numbers or not. Any natural number ending in 0, 1, 4, 5, 6 or 9 can be or cannot be a square-number.

What is the perfect square number between 30 and 40?

∴ 24 2 would have unit’s digit as 6. ∴ 26 2 would have 6 as unit’s place. ∴ 36 2 would end in 6. ∴ 342 would have unit place digit as 6. Find the perfect square numbers between (i) 30 and 40 and (ii) 50 and 60. Thus, 36 is a perfact square number between 30 and 40.