Squares and Square Roots Test

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Squares and Square Roots Test - 15

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Weekly Quiz Competition

Question 1
1 / -0

Find the square root of $$2209$$.

A
$$47$$

B
$$57$$

C
$$24$$

D
$$27$$

Solution

So, the square root of $$2209$$ is $$47$$.
Question 2
1 / -0

Find the square root of $$\displaystyle 6 \frac{7}{8}$$ correct to two decimal places

A
$$2.62$$

B
$$2.61$$

C
$$2.63$$

D
$$2.6$$

Solution

$$\displaystyle 6 \frac{7}{8}$$
$$=\dfrac{55}{8}$$
$$=6.875$$

$$2$$
$$2$$ $$6.875$$
$$4$$
$$46$$
$$6$$ $$287$$
$$276$$
$$522$$
$$1150$$
$$1044$$

$$6$$

Therefore,
Square root of $$\displaystyle 6 \frac{7}{8}=2.62$$
Question 3
1 / -0

Find the square root of $$\displaystyle 1 \frac{5}{16}$$ correct to two decimal places

A
$$1.14$$

B
$$1.15$$

C
$$1.65$$

D
$$1.12$$

Solution

$$\displaystyle 1 \dfrac{15}{16}$$
$$=\dfrac{21}{16}$$
$$=1.3125$$

$$1$$
$$1$$ $$1.3125$$
$$1$$
$$21$$
$$1$$ $$31$$
$$21$$
$$224$$
$$4$$ $$1025$$
$$896$$
$$2285$$ $$12900$$
$$11425$$

$$1475$$

Therefore,
Square root of $$\displaystyle 1 \frac{15}{16}=1.145$$
$$=1.15$$
Question 4
1 / -0

Consider the Following values of the three given number $$\displaystyle \sqrt{103},$$ $$\displaystyle \sqrt{99.35},$$ $$\displaystyle \sqrt{102.20},$$
1.10.1489 (approx,)
2.10.109(approx,)
3.9.967 (approx,)
The correct sequence of the these values matching with the above number is:

A
1, 2, 3

B
1, 3, 2

C
2, 3, 1

D
3, 1, 2

Solution

$$\sqrt{3}=10.14889$$
$$\sqrt{99.35}=9.967$$
$$\sqrt{102.30}=10.1094$$
Hence,The correct sequence of the these values matching with the above number is:1,3,2
Question 5
1 / -0

A four digit perfect square number whose first two digits and last two digits taken seperately are also perfect squares is:

A
1,681

B
1,636

C
3,664

D
6,481

Solution

$$1,681$$ is the only perfect square from given options.
$$1681=41\times 41$$
$$1681=41^2$$
$$\therefore$$ $$1681$$ is a square of $$41$$.

First two digits and last two digits of $$1681$$ are $$16$$ and $$81$$
$$16=4^2$$ and $$81=9^2$$

We can see $$16$$ and $$81$$ are perfect squares of $$4$$ and $$9$$.

$$\therefore$$ $$1681$$ is a four digit square number whose first two digits taken separately are also perfect square.
Question 6
1 / -0

The value of $$\sqrt{0.9}$$ is (approximately)

A
0.3

B
0.03

C
0.33

D
0.94

Solution

$$\sqrt{0.9} = {\sqrt{0.90} = \sqrt{\cfrac{90}{100}} = \cfrac{\sqrt{90}}{10}}$$ $$= \cfrac{9.4}{10} = 0.94$$
Question 7
1 / -0

Find the square root of 784 by prime factorisation method.

A
$$22$$

B
$$28$$

C
$$18$$

D
$$38$$

Solution

$$784=\underline { 2\times2 } \times\underline { 2\times2 } \times\underline { 7\times7 } \\ \Rightarrow \sqrt { 784 } =2\times2\times7=28$$
Question 8
1 / -0

Which one of the following can't be the square of natural number?

A
$$1936$$

B
$$2452$$

C
$$1369$$

D
$$6561$$

Solution

As we know that all the perfect square number ends with $$1,4,9,6,5,00$$
$$2452$$ is not a perfect square because it ends in 2.
$$\text {Also} \quad 1936= (44)^2\\1369=(37)^2\\6561=(81)^2$$
Question 9
1 / -0

The smallest number by which 396 must be multiplied so that the product becomes a perfect square is:

A
5

B
11

C
3

D
2

Solution

$$396\, =\, 2\, \times\, 2\, \times\, 3\, \times\, 3\, \times\, 11$$
So 396 should be multiplied by 11 to make the product a perfect square.
Question 10
1 / -0

The least number by which 216 must be divided to make the result a perfect square, is

A
3

B
4

C
6

D
9

Solution

$$216 = 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 3$$
Clearly, in order to make it a perfect square, it must be divided by $$2 \times 3$$ i.e.,$$ 6$$.

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Re-Attempt Weekly Quiz Competition


$$2$$ $$2$$	$$6.875$$ $$4$$
$$46$$ $$6$$	$$287$$ $$276$$
$$522$$	$$1150$$ $$1044$$
	$$6$$


$$1$$ $$1$$	$$1.3125$$ $$1$$
$$21$$ $$1$$	$$31$$ $$21$$
$$224$$ $$4$$	$$1025$$ $$896$$
$$2285$$	$$12900$$ $$11425$$ $$1475$$

Squares and Square Roots Test - 15

Result

Squares and Square Roots Test - 15

Score

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Rank

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SHARING IS CARING

Question 1

$$47$$

$$57$$

$$24$$

$$27$$

Solution

Question 2

$$2.62$$

$$2.61$$

$$2.63$$

$$2.6$$

Solution

Question 3

$$1.14$$

$$1.15$$

$$1.65$$

$$1.12$$

Solution

Question 4

1, 2, 3

1, 3, 2

2, 3, 1

3, 1, 2

Solution

Question 5

1,681

1,636

3,664

6,481

Solution

Question 6

0.3

0.03

0.33

0.94

Solution

Question 7

$$22$$

$$28$$

$$18$$

$$38$$

Solution

Question 8

$$1936$$

$$2452$$

$$1369$$

$$6561$$

Solution

Question 9

5

11

3

2

Solution

Question 10

3

4

6

9

Solution

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