Squares and Square Roots Test

Result

Squares and Square Roots Test - 29

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following number is not a perfect square?

A
$$1156$$

B
$$4787$$

C
$$2704$$

D
$$3969$$

Solution

$$(b) 4787$$
Explanation: According to the property of square a number ending with $$2,3,7$$ and $$8$$ is not a perfect square. Hence, $$4787$$ is not a perfect square.
Question 2
1 / -0

Which of the following number is not a perfect square?

A
$$7056$$

B
$$3969$$

C
$$5478$$

D
$$4624$$

Solution

$$(c) 5478$$
Explanation: According to the property of square a number ending with $$2,3,7$$ and $$8$$ is not a perfect square. Hence, $$5487$$ is not a perfect square.
Question 3
1 / -0

Write the correct answer from the given four options.
Which among $$43^2, 67^2, 52^2, 59^2$$ would end with digit 1?

A
$$43^2$$

B
$$67^2$$

C
$$52^2$$

D
$$59^2$$

Solution

Unit digit of 59 = 9
Square of $$9 \times 9 = 81$$
Question 4
1 / -0

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

A
The square of m

B
Greater than m

C
Equal to m

D
$$\sqrt{m}$$

Solution

Natural number = n
Square of n = $$(n)^2$$
Now, $$(n)^2 = m$$
$$n = \sqrt{m}$$
Question 5
1 / -0

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

A
11

B
12

C
14

D
16

Solution

$$196$$ can be written as $$196 = 2 \times 2 \times 7 \times 7 = (2 \times 7)^2 = (14)^2 $$
Hence, C will be correct answer.
Question 6
1 / -0

Which of the following is a square of an even number?

A
144

B
169

C
441

D
625

Solution

The unit place of the square of any even number is always an even number, so $$144$$ will be the square of an even number.
Or
Square of an even number, $$144 = 12 \times 12 = (12)^2$$
Hence, A will be the correct answer.
Question 7
1 / -0

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

A
3

B
9

C
1

D
6

Solution

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.
Question 8
1 / -0

Write the correct answer from the given four options.
The value of $$\sqrt{248 + \sqrt{52 + \sqrt{144}}}$$ is

A
14

B
12

C
16

D
13

Solution

$$\because \sqrt{144} = 12$$
$$\therefore \sqrt{248 + \sqrt{52+12}} = \sqrt{248 + \sqrt{64}}$$
$$\because \sqrt{64} = 8$$
$$\therefore \sqrt{248+8} = \sqrt{256} = 16$$
Question 9
1 / -0

Which of the following cannot be the unit digit of a perfect square number?

A
$$6$$

B
$$1$$

C
$$9$$

D
$$8$$

Solution

As we know that all the perfect square number ends with $$1,4,9,6,5,00$$
Hence, D will be correct answer.
Question 10
1 / -0

Which of the following is a Pythagorean triplet?

A
$$(2,3,5)$$

B
$$(5,7,9)$$

C
$$(6,9,11)$$

D
$$(8,15,17)$$

Solution

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Re-Attempt Weekly Quiz Competition

Squares and Square Roots Test - 29

Result

Squares and Square Roots Test - 29

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SHARING IS CARING

Question 1

$$1156$$

$$4787$$

$$2704$$

$$3969$$

Solution

Question 2

$$7056$$

$$3969$$

$$5478$$

$$4624$$

Solution

Question 3

$$43^2$$

$$67^2$$

$$52^2$$

$$59^2$$

Solution

Question 4

The square of m

Greater than m

Equal to m

$$\sqrt{m}$$

Solution

Question 5

11

12

14

16

Solution

Question 6

144

169

441

625

Solution

Question 7

3

9

1

6

Solution

Question 8

14

12

16

13

Solution

Question 9

$$6$$

$$1$$

$$9$$

$$8$$

Solution

Question 10

$$(2,3,5)$$

$$(5,7,9)$$

$$(6,9,11)$$

$$(8,15,17)$$

Solution

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