Squares and Square Roots Test

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Squares and Square Roots Test - 21

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Weekly Quiz Competition

Question 1
1 / -0

A gardener has $$1000$$ plants.He wants to plants to plant these in such a way that the number of rows and the number of columns remain same. Find the minimum number of plants he needs more for this.

A
12

B
24

C
11

D
23

Solution

If the number of rows and number of columns are to be equal, then the total number of trees will be in the form of x², which is nothing but a perfect square.

As 1000 is not a perfect square, you need to check for a perfect square above and nearest to 1000.

It's 1024, which is square of 32.$$\text{ So he needs to add 24 more trees to get 1024.}$$
Question 2
1 / -0

Area of a square plot is $$2304$$ $$ \displaystyle m^{2} $$. Find the side of the square plot.

A
$$48 $$m

B
$$33.9$$ m

C
$$39.9$$ m

D
$$42$$ m

Solution

Area of square plot $$ = 2304$$ $$ \displaystyle m^{2} $$
Therefore side of the square plot $$ \displaystyle \sqrt{2304} $$m
We find that $$ \displaystyle \sqrt{2304}=48=\sqrt {2\times2\times2\times2\times2\times2\times2\times2\times3\times3}$$
Thus the side of the square plot is $$48 m$$.
Question 3
1 / -0

Perfect square numbers between $$20$$ and $$30$$ is/are

A
$$21, 25, 28$$

B
$$27, 29, 25$$

C
only $$25$$

D
only $$29$$

Solution

The perfect square between $$20$$ and $$30$$ is only $$25$$.
That is, $$4 \times 4 = 16$$
$$5 \times 5 = 25$$
$$6 \times 6 = 36$$
$$25$$ is the only perfect square which falls between $$20$$ and $$30$$.
Therefore, option C is correct.
Question 4
1 / -0

Which of the following are perfect squares?

A
$$25, 36, 49$$

B
$$64, 19, 72$$

C
$$18, 30 , 42$$

D
$$45, 32, 42$$
Question 5
1 / -0

Find the numbers whose square will end with digit $$1$$.

A
$$(49)^2, (19)^2$$

B
$$(18)^2, (48)^2$$

C
$$(15)^2, (25)^2$$

D
$$(24)^2, (42)^2$$

Solution

The numbers which will have $$1$$ at their unit place in their squares are the numbers ends with $$1$$ or $$9$$
Because $$1\times1$$ $$=$$ $$1$$ and $$9 \times 9 = 81$$
Hence, Option A is correct answer.
Question 6
1 / -0

When a square number ___ in $$6$$, the number whose square it is, will either have $$4$$ or $$6$$ in ___ place.

A
ends, units

B
starts, units

C
ends, tens

D
starts, tens

Solution

Only those numbers, when squared will have 6 at their unit place which end with $$4$$ or $$6$$
Because $$4\times4$$ $$=$$ $$16$$
and $$6\times6$$ $$=$$ $$36$$
Hence, Option A is correct answer.
Question 7
1 / -0

The numbers having $$1 $$ or $$9$$ in the units place, then its square ends with_______.

A
$$9$$

B
$$0$$

C
$$1$$

D
$$6$$

Solution

$$9 \times 9 = 8\underline{1}$$
$$11 \times 11 = 12\underline{1}$$ ......(last digit is $$1$$)
Therefore, option C is the correct answer.
Question 8
1 / -0

Find the square root of $$225$$.

A
12

B
13

C
15

D
None of these

Solution

Here, $$225 = 3 \times 3 \times 5 \times 5 = (3 \times 5)^2 = (15)^2$$
Therefore, option C is the correct answer.
Question 9
1 / -0

Numbers other than the perfect square numbers are not:

A
square numbers

B
non square numbers

C
both A and B

D
none of the above

Solution

The numbers which are not perfect square are the number which are not the square of any other number or which can't be written as square of other number. Thus, all numbers other than perfect squares are non square numbers or not perfect square numbers.
Question 10
1 / -0

For an odd number $$427$$, the square of this odd number will be ____.

A
even

B
odd

C
negative

D
none of these

Solution

Since, the last digit of number $$427$$ is $$7$$, $$7$$ being an odd number the whole square number will be odd because $$7 \times 7 = 49$$
Thus, square root of an odd number is odd
Therefore, option B is the correct answer.

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Re-Attempt Weekly Quiz Competition

Squares and Square Roots Test - 21

Result

Squares and Square Roots Test - 21

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SHARING IS CARING

Question 1

12

24

11

23

Solution

Question 2

$$48 $$m

$$33.9$$ m

$$39.9$$ m

$$42$$ m

Solution

Question 3

$$21, 25, 28$$

$$27, 29, 25$$

only $$25$$

only $$29$$

Solution

Question 4

$$25, 36, 49$$

$$64, 19, 72$$

$$18, 30 , 42$$

$$45, 32, 42$$

Question 5

$$(49)^2, (19)^2$$

$$(18)^2, (48)^2$$

$$(15)^2, (25)^2$$

$$(24)^2, (42)^2$$

Solution

Question 6

ends, units

starts, units

ends, tens

starts, tens

Solution

Question 7

$$9$$

$$0$$

$$1$$

$$6$$

Solution

Question 8

12

13

15

None of these

Solution

Question 9

square numbers

non square numbers

both A and B

none of the above

Solution

Question 10

even

odd

negative

none of these

Solution

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