Squares and Square Roots Test

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Squares and Square Roots Test - 9

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Weekly Quiz Competition

Question 1
1 / -0

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

A
$$6$$

B
$$28$$

C
Both

D
None

Solution

Answer is C option as neither 6 nor 28 is a perfect square of any numbers.
Question 2
1 / -0

The square root of 1,764 is:

A
32

B
42

C
48

D
38

Solution

$$1764\, =\, 4\, \times\, 7\, \times\, 7\, \times\, 9\, =\, 2^2\, \times\, 7^2\, \times\,3^2$$
$$\therefore\, \sqrt{1764}\, =\, \sqrt{2^2\, \times\, 7^2\, \times\, 3^2}$$
$$=\, 2\, \times\, 7\, \times\, 3$$
$$=\, 42$$
Question 3
1 / -0

Value of $$(62)^{2}$$ is:

A
$$124$$

B
$$-124$$

C
$$3244$$

D
$$3844$$

Solution

$$3844=62\times 62$$
Question 4
1 / -0

The square root of 53,361 is:

A
231

B
211

C
261

D
249

Solution

$$53361\, =\, 11\, \times\, 11\, \times\, 21\, \times\, 21$$
$$=\, 11^2\, \times\, 21^2$$
$$\therefore\, \sqrt{53361}\, =\, \sqrt{11^2\, \times\, 21^2}$$
$$=\, 11\, \times\, 21\, =\, 231$$
Question 5
1 / -0

The sum of two perfect squares is a perfect square.

A
True

B
False

C
Sometimes

D
Never

Solution

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.
Question 6
1 / -0

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

A
$$1$$

B
$$4$$

C
$$8$$

D
$$9$$

Solution

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.
Question 7
1 / -0

The square root of 5184 is:

A
72

B
62

C
74

D
82

Solution

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 $$\sqrt{5184}=\sqrt {2\times 2\times 2\times 2\times 2\times 3\times 3\times 3\times 3}$$
$$=2\times 2\times 2\times 3\times 3$$
$$=72$$
Question 8
1 / -0

The square root of $$3,90,625$$ is:

A
$$645$$

B
$$225$$

C
$$735$$

D
$$625$$

Solution

$$\therefore 390625 =(625)^2$$
So, the square root of $$390625$$ is $$625$$.
Question 9
1 / -0

Which of the following numbers is a perfect square?

A
$$141$$

B
$$196$$

C
$$124$$

D
$$222$$

Solution

$$196=2\times 2\times 7\times 7=(2\times 7)^2=(14)^2$$
Hence 196 is perfect square of 14.
Question 10
1 / -0

By using the table for square root find the value of $$\sqrt{7}$$.

A
$$2.652$$

B
$$2.746$$

C
$$2.646$$

D
$$2.616$$

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Re-Attempt Weekly Quiz Competition

Squares and Square Roots Test - 9

Result

Squares and Square Roots Test - 9

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SHARING IS CARING

Question 1

$$6$$

$$28$$

Both

None

Solution

Question 2

32

42

48

38

Solution

Question 3

$$124$$

$$-124$$

$$3244$$

$$3844$$

Solution

Question 4

231

211

261

249

Solution

Question 5

True

False

Sometimes

Never

Solution

Question 6

$$1$$

$$4$$

$$8$$

$$9$$

Solution

Question 7

72

62

74

82

Solution

Question 8

$$645$$

$$225$$

$$735$$

$$625$$

Solution

Question 9

$$141$$

$$196$$

$$124$$

$$222$$

Solution

Question 10

$$2.652$$

$$2.746$$

$$2.646$$

$$2.616$$

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