MCQ Questions for Class 8 Maths Squares And Square Roots Quiz 1

The square root of

$3,90,625$ is:

0%
$645$
0%
$225$
0%
$735$
0%
$625$

Explanation

$\therefore 390625 =(625)^2$

So, the square root of

$390625$ is

$625$ .

1388220_278423_ans_c456012942af40dabaa50f664968cd75.JPG

The value of

$\displaystyle {(22)} ^{ 2 }$ is

0%
484
0%
844
0%
44
0%
None of these

Find the square root of

$1156$ .

0%
$34$
0%
$54$
0%
$61$
0%
$21$

Explanation

So, the square root of

$1156$ is

$34$ .

The square root of

$69696$ is

0%
$264$
0%
$254$
0%
$214$
0%
$224$

Explanation

$\therefore \sqrt {69696}=264$

The square root of

$7744$ is

0%
$88$
0%
$48$
0%
$98$
0%
$84$

Explanation

$\therefore \sqrt{7714} = 88$

Find the square root of

$2209$ .

0%
$47$
0%
$57$
0%
$24$
0%
$27$

Explanation

So, the square root of

$2209$ is

$47$ .

The square root of 5184 is:

0%
72
0%
62
0%
74
0%
82

Explanation

The sum of digits of the given number

$5184 (5+1+8+4 = 18)$ is multiple of

$3$ . Also, since the the number at unit's place is even (i.e,

$4$ ), therefore, it is divisible by

$2$ .

Prime factors of

$5184=2\times 2\times 2\times 2\times 2\times 2\times 3\times 3\times 3\times 3$
Square root

$\sqrt{5184}=\sqrt {2\times 2\times 2\times 2\times 2\times 3\times 3\times 3\times 3}$

$=2\times 2\times 2\times 3\times 3$

$=72$

State true or false:

The number 23453 is a perfect square.

0%
True
0%
False

Explanation

The square of the numbers must end with any of the digits

$0$ ,

$1$ ,

$4$ ,

$5$ ,

$6$ or

$9$ .
Example:-

${ 1 }^{ 2 } = 1$

${ 12 }^{ 2 } = 144$

${ 13 }^{ 2 } = 169$

${ 5 }^{ 2 } = 25$
Also, a perfect square has even number of zeros at the end. Example :-

$100, 400, 640000$
Here, the number is

$23453$ .
It ends with

$3$ . Therefore, it is not a perfect square.

State true or false:

The number 1057 is a perfect square.

0%
True
0%
False

Explanation

The square of any number must end with any of the digits

$0$ ,

$1$ ,

$4$ ,

$5$ ,

$6$ or

$9$ .
Examples:-

${ 1 }^{ 2 } = 1$

${ 12 }^{ 2 } = 144$

${ 13 }^{ 2 } = 139$

${ 5 }^{ 2 } = 25$
Here, the number is

$1057$ .
It ends with

$7$ . Therefore, it is not a perfect square.

State true or false:

The number 22222 is a perfect square.

0%
True
0%
False

Explanation

No,

$22222$ is not a perfect square.

It is because a perfect square always ends with

$1$ ,

$4$ ,

$5$ ,

$6$ or

$9$ , or has even number of zeros.

For example,

${ 1 }^{ 2 } = 1$

${ 12 }^{ 2 } = 144$

${ 13 }^{ 2 } = 169$

${ 5 }^{ 2 } = 25$

$20^2=400$

Here, the number ends with

$2$ .
Therefore, it is not a perfect square.

Hence, the given statement is true.

State true or false:

The number mentioned below is a perfect square.

89722

0%
True
0%
False

Explanation

The square of the numbers must end with any of the digits

$0$ ,

$1$ ,

$4$ ,

$5$ ,

$6$ or

$9$ .
Example:-

${ 1 }^{ 2 }\quad =\quad 1$

${ 12 }^{ 2 }\quad =\quad 144$

${ 13 }^{ 2 }\quad =\quad 139$

${ 5 }^{ 2 }\quad =\quad 25$

Also, a perfect square has an even number of zeros at the end. Example :-

$100, 400, 640000$ .

Here, the number is

$89722$ .

It ends with

$2$ . Therefore it is not a perfect square.

State true or false:

The number

$7928$ is a perfect square.

0%
True
0%
False

Explanation

The square of any number ends in the digits

$0$ ,

$1$ ,

$4$ ,

$5$ ,

$6$ or

$9$ .
Example:-

${ 1 }^{ 2 } = 1$

${ 12 }^{ 2 }= 144$

${ 13 }^{ 2 } = 139$

${ 5 }^{ 2 } = 25$
Also, a perfect square has even number of zeros at the end. Example :-

$100, 400, 640000$ .
Here, the number is

$7928$ .
It ends with

$8$ . Therefore it is not a perfect square.

Which of the following numbers are not the perfect square of any numbers?

0%
$6$
0%
$28$
0%
Both
0%
None

The square root of 1,764 is:

0%
32
0%
42
0%
48
0%
38

Explanation

$1764\, =\, 4\, \times\, 7\, \times\, 7\, \times\, 9\, =\, 2^2\, \times\, 7^2\, \times\,3^2$

$\therefore\, \sqrt{1764}\, =\, \sqrt{2^2\, \times\, 7^2\, \times\, 3^2}$

$=\, 2\, \times\, 7\, \times\, 3$

$=\, 42$

Value of

$(62)^{2}$ is:

0%
$124$
0%
$-124$
0%
$3244$
0%
$3844$

Explanation

$3844=62\times 62$

Which of the following numbers have rational square roots?

0%
2
0%
4
0%
9
0%
11

Explanation

Only the square roots of perfect squares will be rational. If it of the form

$\sqrt{a}$ , whereas if

$'a'$ is not a perfect square then the term will be irrational.

$4, 9$ are perfect squares.

The square root of 53,361 is:

0%
231
0%
211
0%
261
0%
249

Explanation

$53361\, =\, 11\, \times\, 11\, \times\, 21\, \times\, 21$

$=\, 11^2\, \times\, 21^2$

$\therefore\, \sqrt{53361}\, =\, \sqrt{11^2\, \times\, 21^2}$

$=\, 11\, \times\, 21\, =\, 231$

By using the table for square root find the value of

$\sqrt{7}$ .

0%
$2.652$
0%
$2.746$
0%
$2.646$
0%
$2.616$

The sum of two perfect squares is a perfect square.

0%
True
0%
False
0%
Sometimes
0%
Never

Explanation

The given statement is sometimes true and sometimes it is false.

Example:

${6}^{2} + {5}^{2} = 36 + 25$

$= 61$

which is not a square number so, here it is false.

But,

${3}^{2} + {4}^{2} = 9 + 16$

$= 25$

which is perfect square of

$5$ so, here it is true.

Which of the following numbers is a perfect square?

0%
$141$
0%
$196$
0%
$124$
0%
$222$

Explanation

$196=2\times 2\times 7\times 7=(2\times 7)^2=(14)^2$
Hence 196 is perfect square of 14.

A perfect square number can never have the digit ____ at the units place.

0%
$1$
0%
$4$
0%
$8$
0%
$9$

Explanation

As we know that all the perfect square number ends with

$1,4,9,6,5,00$

So, a number having

$2,3,7$ or

$8$ at unit's place is never a perfect square.

$1057$ is not a perfect square. Give reason.

0%
Because last two digits are $57$
0%
Because last digit of a number is ending with $7$
0%
Because sum of all the digits is $13$
0%
Data insufficient

Explanation

All the perfect square end with any one from

$0,1,4,5,6,9$

Since

$1057$ ends with

$7$

Hence, it is not a perfect square.

Option (B) is correct.

$23453$ is not a perfect square. Give reason.

0%
Because last digit is not divisible by $3$
0%
Because last two digits are $53$
0%
Because number ends with $3$
0%
Data insufficient

Explanation

All the perfect square end with

$0,1,4,5,6,9$

Since

$23453$ ends with

$3$

Hence, it is not a perfect square.

Option B is correct.

The square of an odd number is

0%
always an even number
0%
sometimes even and sometimes odd
0%
always an odd number
0%
always an irrational number

Explanation

By definition, an odd number is an integer that can be written in the form

$2n + 1$ , for some integer

$n$ , as an odd number leaves remainder 1 when divided by 2.

So square of an odd number,

$(2n + 1)^2$

$= 4n^2 + 4n + 1$

$= 2(2n^2 + 2n) + 1$

$=2(k)+1$ , where

$k=2n^2+2n$ is an integer

Hence we have shown that the square of any odd number is odd.

What will be the unit digit of the square of

$799$ ?

0%
1
0%
8
0%
0
0%
6

Explanation

On squaring the unit digit

$799$ i.e. on squaring of

$9$ , we get

$81$ . Use the unit place digit of

$81$ i.e

$1$

Thus the unit digit in square of

$799$ will be

$1$ .

Square root of

$49$ is _____.

0%
$17$
0%
$7$
0%
$-27$
0%
$-17$

Explanation

$7 \times 7 = 49$ .

Therefore, square root of

$49$ is

$7$ .

Square root is always positive.

So, option B is correct.

$89722$ is not a perfect square. Give reason.

0%
Because last two digits are $22$
0%
Number ends with $2$
0%
Number starts with $89$
0%
Data insufficient

Explanation

We know that numbers ending with

$2, 3, 7$ and

$8$ are not perfect squares.

So,

$89722$ is not a perfect square as the number ends in

$2$ .

222222 is not a perfect square. Give reason.

0%
Because last two digits are $22$
0%
Numbers ends with $2$
0%
Because the sum of digits is $12$
0%
Data insufficient

Explanation

$222222$ is not a perfect square as a perfect square never ends in

$2$ .

Perfect square always ends with

$0, 1, 4, 9, 6, 5$ or

$9$ .

What is the value of

$\sqrt 9$ ?

0%
2
0%
3
0%
9
0%
None of these

Explanation

Square root of

$9 = 3 \times 3 = 3^2$ is

$3$

Option B is correct.

Numbers like

$1, 4, 9, 16, 25$ are:

0%
perfect squares
0%
non perfect squares
0%
prime
0%
composite

Explanation

$1 \times 1 = 1$

$2 \times 2 = 4$

$3 \times 3 = 9$

$4 \times 4 = 16$

$5\times 5 = 25$

All are square numbers, so they are perfect squares.

Therefore, A is the correct answer.

CBSE Questions for Class 8 Maths Squares And Square Roots Quiz 1 - MCQExams.com

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Practice Class 8 Maths Quiz Questions and Answers

CBSE Questions for Class 8 Maths Squares And Square Roots Quiz 1 - MCQExams.com

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Practice Class 8 Maths Quiz Questions and Answers

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