Identifying Perfect Square Numbers by Observing Their Last Digit

Q. Which of the following numbers would have the digit 6 at its unit place?

1. ${23}^2$
2. ${129}^2$
3. ${54}^2$
4. ${45}^2$

Q.

The product of $4$ and a number is ___________.

Q. The unit digit of the square of a number whose unit digit is 5, is ___ .

Q.

Which of the following can't be the units digit in a perfect square number?

1. 6

2. 9

3. 8

4. 4

Q. The minimum value of y, where y= 25x square - 10x + 5, is

Q. The ending digit of the square of a number whose unit digit is 5, is ___ .

1. 0
2. 5
3. 6
4. 9

Q. If a number ends with '6', then its square ends with .

1. 4
2. 6
3. 1
4. 9

Q.

Now find the square root of these numbers. (You can use our table of squares)

(i) 100

(ii) 256

(iii)

(iv)

(v) 1.44

(c) 0.01

Q.

Square root of a rational number is also a rational number. State whether true or false.

1. True

2. False

Q. Which of the following is a perfect square?

1. 9277
2. 2401
3. 4602
4. 9748

Q.

50 bells B1 , B2 , B3 , .......B50 start ringing together. The bells ring after every 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.....50 sec respectively.How many times do all bells from B4, B9, B16, .....B49 ring together in 1 day ?

1. 0

2. 1

3. 2

4. 3

Q. The ending digit of the square of a number whose units digit is '5' is

1. 5

Q.

If a number has zeroes at its unit and tens places then square of the number will have 3 zeroes at its end. State whether true or false.

1. True

2. False

Q. What is the Unit digit of ${14}^{35}?$

1. 2
2. 4
3. 8
4. 6

Q. The squares of two natural numbers a, b are 529 and 841. It is given that a > b. Choose the correct options.

1. $a^2=841$
2. $b^2=841$
3. $a^2=529$
4. $b^2=529$

Q. What are surds

Q. Which is the following represents the set of numbers which can come as a unit digit in a perfect square number?

1. 1, 4, 5, 6
2. 1, 4, 5, 7
3. 1, 2, 5, 6
4. 1, 3, 5, 8

Q.

What are real numbers?

Q.

Square numbers can only have _________ number of zeros at the end.

1. Can't be determined

2. There should not be zeros at the end of a perfect square.

3. Odd

4. Even

Q.

Which of the following is not a perfect square?

1. 144

2. 245

3. 169

4. 196

Q.

Which is the following represent the set of number which one can come as a unit digit in a perfect square number?

1. 1, 4, 5, 7

2. 1, 4, 5, 6

3. 1, 2, 5, 6

4. 1, 3, 5, 8

Q. There will be zeros at the end of the number ${11000}^2$.

1. $6$
2. $8$
3. $4$
4. $3$

Q.

Which of the following will have 1 in its unit's place?

1. ${82}^2$

2. ${161}^2$

3. ${77}^2$

4. ${123}^2$

Q. How many parts is the large square being divided into?

1. 1
2. 3
3. 4
4. 2

Q.

Obtain all the zeroes of $x^3-7x+6,$ if one of its zero is 1.

Q.

Which of the following is definitely not a perfect square?

1. 289

2. 173

3. 256

4. 625

Q.

Which of t he numbers below can be written as a square?

(i) 2.5

(ii) 0.25

(iii) 0.0016

(iv) 14.4

(v) 1.44

Q.

Which of the following correctly represent the unit digit of any perfect square number.

1. 3, 5, 6, 8, 9

2. 2, 6, 7, 8, 9

3. 1, 4, 5, 6 , 9

4. 2, 4, 5, 6, 8

Q.

Find the squares of these numbers:

(i)

(ii)

(iii)

(iv)

Q. Find the smallest prime number multiplied to 72 to obtain a perfect square number.

1. 2
2. 3
3. None of the above
4. 5