Squares and Square Roots Test

Result

Squares and Square Roots Test - 23

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Weekly Quiz Competition

Question 1
1 / -0

A school was having a gathering. The organizing teacher wanted the students to be seated in the same number of rows and columns. The number of students were $$10000$$. Find the number of rows and columns.

A
$$80$$

B
$$90$$

C
$$100$$

D
$$10$$

Solution

To get the number of row and column, we need to find square root of $$10000$$
Number of row $$=$$ Number of column
$$\sqrt{10000}$$ $$=$$ $$100$$
Hence, Option C is correct.
Question 2
1 / -0

Which smallest whole number is to be multiplied to $$2028$$ to get a perfect square number?

A
$$4$$

B
$$3$$

C
$$2$$

D
$$6$$

Solution

To find out what needs to be multiplied to $$2028$$ to make it a perfect square, we need to find out the factors of $$2028$$.
Hence factors of 2028 are :
$$2028 = \underline{2 \times 2} \times \underline{13\times 13} \times 3$$
Prime factor $$3$$ is not in pairs, so $$3$$ has to be multiplied to get the perfect square i.e.
$$ 2028 \times 3 = 6084 $$
Hence the answer is C.
Question 3
1 / -0

Find perfect square numbers between $$80$$ & $$90$$.

A
$$80, 84$$

B
Only $$81$$

C
86, 89

D
None of the above

Solution

Only $$81$$ is a perfect square number between $$ 80$$ & $$90$$.
$$9^2= 81$$,
$$10^2 = 100$$, before its $$8^2= 64$$ .
$$(64, 81, 100$$) only $$81$$ lies between $$80$$ & $$90$$.
Therefore, B is the correct answer.
Question 4
1 / -0

What should be multiplied to $$7200$$ to make a perfect square?

A
$$5$$

B
$$3$$

C
$$2$$

D
$$4$$
Question 5
1 / -0

Use division method to get the square root of $$5041$$.

A
$$51$$

B
$$41$$

C
$$31$$

D
$$71$$

Solution

$$\therefore \sqrt{5041} = 71$$
Question 6
1 / -0

The square root of $$1764$$ is ____.

A
$$42$$

B
$$82$$

C
$$76$$

D
$$14$$

Solution

$$\sqrt{1764} =\sqrt{ \underline{2 \times 2} \times \underline{3\times 3} \times \underline{7 \times 7}}$$
$$=2\times 3\times 7$$
$$=42$$
Question 7
1 / -0

Use prime factorisation to find the square root of $$1225$$.

A
$$122$$

B
$$225$$

C
$$35$$

D
$$50$$

Solution

$$1225 = 5 \times 5 \times 7 \times 7= 35 \times 35$$
$$\sqrt{1225} =\sqrt{ 5 \times 5 \times 7 \times 7}=5\times 7= 35$$
Question 8
1 / -0

Which smaller number should be used to divide $$3650$$ to get a perfect square?

A
$$142$$

B
$$152$$

C
$$146$$

D
$$154$$

Solution

$$3650 = 2 \times \underline{5 \times 5} \times 73 $$
To get a perfect square we have to divide $$3650$$ by $$2 \times 73 = 146$$.
$$3650\div 146 = 25$$
Question 9
1 / -0

The square root of $$625$$ is:

A
$$62$$

B
$$25$$

C
$$12$$

D
$$66$$

Solution

$$\textbf{Step -1: Find prime factors of 625.}$$

$$\text{Prime factors of }625=5\times5\times5\times5.$$

$$\textbf{Step -2: Find the square root of 625.}$$

$$\sqrt{625}=\sqrt{5\times5\times5\times5}$$

$$=5\times5$$

$$=25$$

$$\textbf{Hence, B is the correct option.}$$
Question 10
1 / -0

The area of stadium which is in the shape of square is $$2401$$. Find the side of a square plot.

A
$$89$$

B
$$42$$

C
$$49$$

D
$$16$$

Solution

Area of square is (side)$$^2$$
Since, side$$^2$$ $$=2401$$
Therefore, side $$=\sqrt{2401}=\sqrt{7\times7\times7\times 7}=7\times 7=49$$

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Re-Attempt Weekly Quiz Competition

Squares and Square Roots Test - 23

Result

Squares and Square Roots Test - 23

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SHARING IS CARING

Question 1

$$80$$

$$90$$

$$100$$

$$10$$

Solution

Question 2

$$4$$

$$3$$

$$2$$

$$6$$

Solution

Question 3

$$80, 84$$

Only $$81$$

86, 89

None of the above

Solution

Question 4

$$5$$

$$3$$

$$2$$

$$4$$

Question 5

$$51$$

$$41$$

$$31$$

$$71$$

Solution

Question 6

$$42$$

$$82$$

$$76$$

$$14$$

Solution

Question 7

$$122$$

$$225$$

$$35$$

$$50$$

Solution

Question 8

$$142$$

$$152$$

$$146$$

$$154$$

Solution

Question 9

$$62$$

$$25$$

$$12$$

$$66$$

Solution

Question 10

$$89$$

$$42$$

$$49$$

$$16$$

Solution

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