MCQ Questions for Class 8 Maths Squares And Square Roots Quiz 9

Write the correct answer from the given four options.
196 is the square of

0%
11
0%
12
0%
14
0%
16

Explanation

$196$ can be written as

$196 = 2 \times 2 \times 7 \times 7 = (2 \times 7)^2 = (14)^2$

Hence, C will be correct answer.

Write the correct answer from the given four options.
If m is the square of a natural number n, then n is

0%
The square of m
0%
Greater than m
0%
Equal to m
0%
$\sqrt{m}$

Explanation

Natural number = n
Square of n =

$(n)^2$
Now,

$(n)^2 = m$

$n = \sqrt{m}$

Write the correct answer from the given four options.
Which among

$43^2, 67^2, 52^2, 59^2$ would end with digit 1?

0%
$43^2$
0%
$67^2$
0%
$52^2$
0%
$59^2$

Explanation

Unit digit of 59 = 9
Square of

$9 \times 9 = 81$

A number ending in 9 will have the units place of its square as ____.

0%
3
0%
9
0%
1
0%
6

Explanation

If any number ends in

$9$ then unit place of its square will be

$1$ because

$9 \times 9 = 81$

Hence, C will be correct.

Write the correct answer from the given four options.
The value of

$\sqrt{248 + \sqrt{52 + \sqrt{144}}}$ is

0%
14
0%
12
0%
16
0%
13

Explanation

$\because \sqrt{144} = 12$

$\therefore \sqrt{248 + \sqrt{52+12}} = \sqrt{248 + \sqrt{64}}$

$\because \sqrt{64} = 8$

$\therefore \sqrt{248+8} = \sqrt{256} = 16$

Which of the following will have

$4$ at the units place?

0%
$(14)^2$
0%
$(62)^2$
0%
$(27)^2$
0%
$(35)^2$

Explanation

Unit digit of

$62$ is

$2$ and the square of

$2$ is

$4$ .

State true or false:
Square root of a number x is denoted by

$\sqrt{x}$ .

0%
True
0%
False

Explanation

$a^2=x$

$\therefore a=\sqrt{x}$

State whether the statements are true (T) or false (F).
The square root of 1521 is 31.

0%
True
0%
False

Explanation

Square of 31 =

$(31)^2 = 31 \times 31 = 961$

Some questions and their alternative answer are given. Select the correct alternative . Out of the following which is the pythagorean triplet?

0%
$(1, 5 , 10 )$
0%
$( 3 , 4 , 5 )$
0%
$( 2, 2, 2)$
0%
$(5, 5, 2)$

Explanation

(A) In the triplet ( 1, 5, 10 )

$1^{2}=1,5^{2}=25,10^{2}=100 \ and \ 1+25 =26\neq 100$

The square of largest number is not equal to the sum of the square of the other two numbers.

$\therefore (1, 5, 10)$ is not pythagorean triplet.

In the triplet (3 , 4 , 5)

$3^{2}= 9 , 4^{2} = 16 , 5^{2} =25 \ and \ 9 + 16 = 25$

The square of the largest number is not equal to the sum of the square of the other two numbers.

$\therefore (2,2,2)$ is not a pythgorean triplet.

In the triplet (5,5,2)

$2^{2}=4,5^{2}=25,5^{2}=25 \ and \ 4 +25 = 29\neq 25$

The square of the largest number is not equal to the sum of the square of the other two numbers.

$\therefore (5,5,12)$ is not a pythagprean triplet

Hence, the correct option is

$(3,4,5)$

Choose the correct option:
The number of perfect squares from

$1$ to

$500$ is

0%
$1$
0%
$16$
0%
$22$
0%
$25$

Choose the correct option:
The last digit of a perfect square number can never be ___.

0%
$1$
0%
$3$
0%
$5$
0%
$9$

Explanation

As we know that, all the perfect square number ends with

$1,4,5,6,9$ and

$0$

So, the last digit of a perfect square can never be

$3.$

Hence,

$Op-B$ is correct.

Some question and their alternative answer are given. Select the correct alternative . Out of the dates given below which date constitutes a pythagorean triplet ?

0%
$15/08/17$
0%
$16/08/16$
0%
$3/5/17$
0%
$4/9/15$

Explanation

(A) In the triplet

$15 / 08 / 17$

$15^{2}=225,8^{2}=64,17^{2}=289 \ and \ 225+64=289$ The square of the largest number is equal to the sum of the sum of square of the two numbers.

$\therefore 15/08/17$ is a pythsgorean triplet

(B) In the triplet

$16/08/16$

$16^{2}=256,8^{2}=64,16^{2}=256 \ and \ 256+64=320\neq 256$

The square of the largest number is not equal to the sum of the squares of the other two numbers.

$\therefore 16/08/16$ is not a pythagorean triplet

(C)In the triplet

$3/5/17$

$3^{2}=9,5^{2}= 25, 17^{2} = 289 \ and \ 9 + 25 = 34\neq 289$

The square of the largest number is not equal to the sum of the squares of the other two numbers

$\therefore 3/5/17$ is not a pythagorean triplet

(D)In the triplet

$4/9/15$

$4^{2}=16,9^{2}=81,15^{2}=225 \ and \ 16+81=97\neq 225$

The square of the largest number is not equal to the sum of the square of the other two numbers

$\therefore 4/9/15$ is not a pythagorea triplet.

Hence, the correct option is

$15/08/17$

Out of the following which is a Pythagorean triplet?

0%
$(5, 12, 14)$
0%
$(3, 4, 2)$
0%
$(8, 15, 17)$
0%
$(5, 5, 2)$

The square root of 350 lies between which pair of numbers?

0%
18 and 19
0%
35 and 36
0%
3.5 and 3.6
0%
7 and 8

$\frac{18\times 72\times x}{48\times 315} = \sqrt{81}$ , then

$x = \underline{ }$

0%
115
0%
150
0%
15
0%
105

Find the square root:

$\sqrt { 4562 }$

0%
66.52
0%
67.52
0%
66.53
0%
67.54

$n-$ similar balls each of weight

$w$ when weighed in pairs, the sum of the weights of all the possible pairs is

$120$ and then they are weighed in triplets, the sum of the weights comes out to be

$480$ for all possible triplets. Then $$n4$ is equal to

0%
$5$
0%
$10$
0%
$15$
0%
$20$

The square root of

$49+20\sqrt{6}$ is

0%
$3+3\sqrt{5}$
0%
$5+3\sqrt{6}$
0%
$5+2\sqrt{6}$
0%
$2+5\sqrt{6}$

What is the square root of

$110.25$ ?

0%
$10.5$
0%
$11.5$
0%
$9.05$
0%
None of these

Which of the following is the square root of

$7-4\sqrt { 3 }$

0%
$2-\sqrt { 3 }$
0%
$5-\sqrt { 3 }$
0%
$2-\sqrt { 5 }$
0%
none of these

Which of the following is not perfect square number.

0%
89722
0%
298116
0%
225
0%
6400

Write the correct answer from the given four options.
If one member of a Pythagorean triplet is 2m, then the other two members are

0%
$m, m^2 + 1$
0%
$m^2 + 1, m^2 - 1$
0%
$m^2, m^2 - 1$
0%
$m^2, m + 1$

CBSE Questions for Class 8 Maths Squares And Square Roots Quiz 9 - 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 9 - MCQExams.com

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Practice Class 8 Maths Quiz Questions and Answers

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