Squares and Square Roots Test

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Squares and Square Roots Test - 10

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Weekly Quiz Competition

Question 1
1 / -0

The value of $$\displaystyle {(22)} ^{ 2 } $$ is

A
484

B
844

C
44

D
None of these

Solution

The value of 22*22 is 484..
Question 2
1 / -0

$$1057$$ is not a perfect square. Give reason.

A
Because last two digits are $$57$$

B
Because last digit of a number is ending with $$7$$

C
Because sum of all the digits is $$13$$

D
Data insufficient

Solution

All the perfect square end with any one from $$0,1,4,5,6,9$$

Since $$1057$$ ends with $$7$$

Hence, it is not a perfect square.

Option (B) is correct.
Question 3
1 / -0

$$23453$$ is not a perfect square. Give reason.

A
Because last two digits are $$53$$

B
Because number ends with $$3$$

C
Because last digit is not divisible by $$3$$

D
Data insufficient

Solution

All the perfect square end with $$0,1,4,5,6,9$$
Since $$23453$$ ends with $$3$$
Hence, it is not a perfect square.
Option B is correct.
Question 4
1 / -0

The square of an odd number is

A
always an even number

B
sometimes even and sometimes odd

C
always an odd number

D
always an irrational number

Solution

By definition, an odd number is an integer that can be written in the form $$2n + 1$$, for some integer $$n$$, as an odd number leaves remainder 1 when divided by 2.

So square of an odd number,
$$ (2n + 1)^2$$
$$= 4n^2 + 4n + 1$$
$$= 2(2n^2 + 2n) + 1$$
$$=2(k)+1$$, where $$k=2n^2+2n$$ is an integer
Hence we have shown that the square of any odd number is odd.
Question 5
1 / -0

What will be the unit digit of the square of $$799$$?

A
1

B
8

C
0

D
6

Solution

On squaring the unit digit $$799$$ i.e. on squaring of $$9$$, we get $$81$$. Use the unit place digit of $$81$$ i.e $$1$$
Thus the unit digit in square of $$799$$ will be $$1$$.
Question 6
1 / -0

Square root of $$49$$ is _____.

A
$$17$$

B
$$7$$

C
$$-27$$

D
$$-17$$

Solution

$$7 \times 7 = 49$$.
Therefore, square root of $$49$$ is $$7$$.
Square root is always positive.
So, option B is correct.
Question 7
1 / -0

$$89722$$ is not a perfect square. Give reason.

A
Because last two digits are $$22$$

B
Number ends with $$2$$

C
Number starts with $$89$$

D
Data insufficient

Solution

We know that numbers ending with $$2, 3, 7$$ and $$8$$ are not perfect squares.
So, $$89722$$ is not a perfect square as the number ends in $$2$$.
Question 8
1 / -0

222222 is not a perfect square. Give reason.

A
Because last two digits are $$22$$

B
Numbers ends with $$2$$

C
Because the sum of digits is $$12$$

D
Data insufficient

Solution

$$222222$$ is not a perfect square as a perfect square never ends in $$2$$.
Perfect square always ends with $$0, 1, 4, 9, 6, 5$$ or $$9$$.
Question 9
1 / -0

What is the value of $$\sqrt 9$$?

A
2

B
3

C
9

D
None of these

Solution

Square root of $$9 = 3 \times 3 = 3^2$$ is $$3$$
Option B is correct.
Question 10
1 / -0

Numbers like $$1, 4, 9, 16, 25 $$ are:

A
perfect squares

B
non perfect squares

C
prime

D
composite

Solution

$$1 \times 1 = 1$$
$$2 \times 2 = 4$$
$$3 \times 3 = 9$$
$$4 \times 4 = 16$$
$$5\times 5 = 25$$
All are square numbers, so they are perfect squares.
Therefore, A is the correct answer.

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Re-Attempt Weekly Quiz Competition

Squares and Square Roots Test - 10

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Squares and Square Roots Test - 10

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SHARING IS CARING

Question 1

484

844

44

None of these

Solution

Question 2

Because last two digits are $$57$$

Because last digit of a number is ending with $$7$$

Because sum of all the digits is $$13$$

Data insufficient

Solution

Question 3

Because last two digits are $$53$$

Because number ends with $$3$$

Because last digit is not divisible by $$3$$

Data insufficient

Solution

Question 4

always an even number

sometimes even and sometimes odd

always an odd number

always an irrational number

Solution

Question 5

1

8

0

6

Solution

Question 6

$$17$$

$$7$$

$$-27$$

$$-17$$

Solution

Question 7

Because last two digits are $$22$$

Number ends with $$2$$

Number starts with $$89$$

Data insufficient

Solution

Question 8

Because last two digits are $$22$$

Numbers ends with $$2$$

Because the sum of digits is $$12$$

Data insufficient

Solution

Question 9

2

3

9

None of these

Solution

Question 10

perfect squares

non perfect squares

prime

composite

Solution

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