Squares and Square Roots Test

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Squares and Square Roots Test - 26

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Weekly Quiz Competition

Question 1
1 / -0

Find the approximate value of $$\sqrt{1235}$$.

A
$$35.15$$

B
$$32.19$$

C
$$30.25$$

D
$$29.13$$

Solution

$$35^2$$ = 1225
$$36^2$$ = 1296
In between this two squares, 1235 is placed.
So the average of $$\dfrac{35 + 36}{2}= 35.5$$
Then, $$35.5^2 = 1260.25$$
So $$\sqrt{1235}\approx35.15$$
Question 2
1 / -0

Estimate the value of $$\sqrt{750}$$.

A
24.3

B
25.1

C
23.2

D
27.3

Solution

$$27^2$$ = 729
$$28^2$$ = 784
In between this two squares, 750 is placed.
So average of $$\frac{27 + 28}{2}= 27.5$$
Then, $$27.5^2 = 756.25$$
So, $$\sqrt{750} \approx 27.3$$
Question 3
1 / -0

What is an approximate value of $$\sqrt{9805}$$?

A
98.56

B
97.23

C
99.05

D
100.34

Solution

$$99^2$$ = 9801
$$100^2$$ = 10000
In between this two squares, 9805 is placed.
So the average of $$\frac{99 + 100}{2}= 99.5$$
Then, $$99.5^2 = 9900.25$$
So, $$\sqrt{9805} \approx 99.05$$
Question 4
1 / -0

What will be the units digit of the square of the given number $$5125$$?

A
$$0$$

B
$$1$$

C
$$5$$

D
$$9$$

Solution

Unit digit of multiplication of $$2$$ numbers is obtained by taking the last digit of the multiplication of two numbers in the unit place
Units digit of $$5125\times 5125$$ is obtained by taking the last digit of $$5\times 5=25$$
$$\Rightarrow $$ Unit digit of square of $$5125$$ is $$5$$.
Question 5
1 / -0

What will be the unit's digit of the square of the given number $$297$$?

A
$$9$$

B
$$7$$

C
$$3$$

D
$$1$$

Solution

Unit's digit of multiplication of two numbers is obtained by taking the last digit of the multiplication of two numbers i.e. the digits at the unit place

Unit's digit of $$297×297$$ is obtained by taking the last digits i.e. $$7\times 7=49$$

$$\Rightarrow $$ Unit digit of square of $$297$$ is $$9$$.
Question 6
1 / -0

The square root of $$\displaystyle\frac{36}{5}$$ correct to two decimal places is _____________.

A
$$2.68$$

B
$$2.69$$

C
$$2.67$$

D
$$2.66$$

Solution

We know $$\sqrt{\dfrac{36}{5}}=\dfrac {6}{\sqrt 5}$$
$$=\dfrac{6}{2.236}$$ (Taking approximate value of square root $$\sqrt{5}$$)
$$=2.6833$$
Upto two decimal places:
$$=2.68$$
Question 7
1 / -0

The number of prime factors of $$36$$ is ____.

A
$$4$$

B
$$3$$

C
$$2$$

D
$$1$$

Solution

$$36=2\times2\times3\times3$$
Clearly, only 2 and 3 are prime factors of 36.
Option C is correct.
Question 8
1 / -0

The number that must be subtracted from $$16161$$ to get a perfect square is ________.

A
$$31$$

B
$$32$$

C
$$33$$

D
$$34$$

Solution

Let the number is $$x$$
Finding the square root of $$16161$$
$$\sqrt{16161}=127.1259$$
Finding the square of $$127$$
$$127^2=16129$$
$$x=16161-16129$$
$$x=32$$
Question 9
1 / -0

What approximate value will come in place of the question mark $$(?)$$ in the following question? (you are not expected to calculate the exact value)
$$\sqrt{8000}=?$$

A
$$76$$

B
$$89$$

C
$$65$$

D
$$97$$

E
$$58$$

Solution
Question 10
1 / -0

Find the square root of $$225$$ by division method.

A
$$5$$

B
$$15$$

C
$$25$$

D
$$35$$

Solution

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Re-Attempt Weekly Quiz Competition

Squares and Square Roots Test - 26

Result

Squares and Square Roots Test - 26

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SHARING IS CARING

Question 1

$$35.15$$

$$32.19$$

$$30.25$$

$$29.13$$

Solution

Question 2

24.3

25.1

23.2

27.3

Solution

Question 3

98.56

97.23

99.05

100.34

Solution

Question 4

$$0$$

$$1$$

$$5$$

$$9$$

Solution

Question 5

$$9$$

$$7$$

$$3$$

$$1$$

Solution

Question 6

$$2.68$$

$$2.69$$

$$2.67$$

$$2.66$$

Solution

Question 7

$$4$$

$$3$$

$$2$$

$$1$$

Solution

Question 8

$$31$$

$$32$$

$$33$$

$$34$$

Solution

Question 9

$$76$$

$$89$$

$$65$$

$$97$$

$$58$$

Solution

Question 10

$$5$$

$$15$$

$$25$$

$$35$$

Solution

User

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