Squares and Square Roots Test

Result

Squares and Square Roots Test - 22

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Weekly Quiz Competition

Question 1
1 / -0

If the square ends with 6, then the number has ___ or ___ in the units place.

A
$$2$$ or $$8$$

B
$$4 $$ or $$6$$

C
$$1$$ or$$ 9$$

D
$$3$$ or $$7$$

Solution

For example, $$24 \times 24 = 57\underline{6}$$
$$36 \times 36 = 129\underline{6} $$ ( square ends with 6)
Therefore, B is the correct answer.
Question 2
1 / -0

$$(64)^2$$ would have digit ____ at units place.

A
7

B
6

C
9

D
1

Solution

In $$(64)^2$$, the digit in unit's place is the last digit at the multiplication of
$$4 \times 4 = 1\underline{6}$$
So, $$6$$ at units place
Therefore, B is the correct answer.
Question 3
1 / -0

The units place of a number is $$ 2$$ or $$8$$, then the last digit of its square is always _____.

A
$$4$$

B
$$6$$

C
$$0$$

D
$$2$$

Solution

$$22 \times 22 = 484 , 18 \times 18 = 324, 2\times 2 = 4 , 8 \times 8 = 64 $$
Last digit in the squares of numbers in both the cases is 4.
Therefore, A is the correct answer.
Question 4
1 / -0

If the square ends with 1, then the number has ___ or ___ in the units place.

A
$$3$$ or $$7$$

B
$$4$$ or $$6$$

C
$$2$$ or $$8$$

D
$$1$$ or $$9$$

Solution

For example, $$11 \times 11 = 12\underline{1}$$
$$19 \times 19 = 36\underline{1} $$ ( square ends with 1)
Therefore, D is the correct answer.
Question 5
1 / -0

When a number ends with a $$6$$ in units place, the units place of a square is____.

A
18

B
6

C
9

D
4

Solution

As $$6 \times 6 = 36$$, so if a number ends with $$6$$, then square of that number also ends with $$6$$
Therefore, option B is the correct answer.
Question 6
1 / -0

Find perfect square numbers between $$50$$ and $$60$$ .

A
$$50$$, $$54$$

B
$$52$$, $$58$$

C
$$56$$, $$59$$

D
None of the above

Solution

By squaring, we get as
$$1$$ $$\rightarrow$$ $$1$$
$$2$$ $$\rightarrow$$ $$4$$
$$3$$ $$\rightarrow$$ $$9$$
$$4$$ $$\rightarrow$$ $$16$$
$$5$$ $$\rightarrow$$ $$25$$
$$6$$ $$\rightarrow$$ $$36$$
$$7$$ $$\rightarrow$$ $$49$$
$$8$$ $$\rightarrow$$ $$64$$
From, this we can say that there is no perfect square between $$50$$ and $$60$$.
Question 7
1 / -0

The number which will end with digit $$1$$ is _____.

A
$$(82)^2$$

B
$$(97)^2$$

C
$$(91)^2$$

D
none of these

Solution

In option A, the last digit in the number $$(82)^2$$ is $$4$$
In option B, the last digit in the number $$(97)^2$$ is $$9$$
In option C, the last digit in the number $$(91)^2$$ is $$1$$
Therefore, option C is the correct answer.
Question 8
1 / -0

If the square ends with $$5,$$ then the number has ___ at the units place.

A
$$7$$

B
$$6$$

C
$$5$$

D
$$1$$

Solution

For example, $$5 \times 5 = 25$$
$$25 \times 25 = 625 $$ ( square ends with $$5$$)
Thus if square ends with $$5$$ then the number has to be $$5$$ at the units place.
Therefore, C is the correct answer.
Question 9
1 / -0

If the square ends with 9, then the number has ___ or ___ in the units place.

A
$$3$$ or $$7$$

B
$$4$$ or $$5$$

C
$$9$$ or $$1$$

D
None of these

Solution

Only those numbers, when squared will have 9 at their unit place are $$3$$ and $$7$$.
Because $$3\times3$$ $$=$$ $$9$$
and $$7\times7$$ $$=$$ $$9$$
Hence, Option A is correct answer.
Question 10
1 / -0

Find perfect square numbers between $$140$$ & $$150$$.

A
$$144$$

B
$$142$$

C
$$86, 89$$

D
None of the above

Solution

We know
$$11^2 = 121$$ comes before $$140$$
$$12^2 = 144$$ lies between $$140$$ $$\&$$ $$150$$
$$13^2 = 169$$ lies after $$150$$
Only$$ 144$$ lies between $$140$$ & $$150$$
So $$144$$ is the only perfect square number between $$140$$ & $$150$$

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Re-Attempt Weekly Quiz Competition

Squares and Square Roots Test - 22

Result

Squares and Square Roots Test - 22

Score

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SHARING IS CARING

Question 1

$$2$$ or $$8$$

$$4 $$ or $$6$$

$$1$$ or$$ 9$$

$$3$$ or $$7$$

Solution

Question 2

7

6

9

1

Solution

Question 3

$$4$$

$$6$$

$$0$$

$$2$$

Solution

Question 4

$$3$$ or $$7$$

$$4$$ or $$6$$

$$2$$ or $$8$$

$$1$$ or $$9$$

Solution

Question 5

18

6

9

4

Solution

Question 6

$$50$$, $$54$$

$$52$$, $$58$$

$$56$$, $$59$$

None of the above

Solution

Question 7

$$(82)^2$$

$$(97)^2$$

$$(91)^2$$

none of these

Solution

Question 8

$$7$$

$$6$$

$$5$$

$$1$$

Solution

Question 9

$$3$$ or $$7$$

$$4$$ or $$5$$

$$9$$ or $$1$$

None of these

Solution

Question 10

$$144$$

$$142$$

$$86, 89$$

None of the above

Solution

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