Perfect Square Numbers

Q. The product of the two consecutive odd numbers is equals to which of the following?

1. Square of the number between them minus one
2. Difference between the numbers
3. Square of the number between them plus one
4. Sum of the numbers

Q. Which of the following is the difference between the squares of two consecutive natural number?

1. Sum of the two numbers
2. Difference of the two numbers
3. Twice the sum of the two numbers
4. Twice the difference between the two numbers

Q.

Find all the real square roots of $0.0036$.

Q.

What is the square of 0.12?

1. 0.024

2. 0.0144

3. 0.144

4. 0.0024

Q. Find the square root of:
$4a^2+9b^2+c^2-12ab+6bc-4ac$

1. (2a - 3b + c)
2. (2a + 3b - c)
3. (-2a + 3b + c)
4. (-2a + 3b + c)

Q.

The square of $5.5$ is _________.

Q.

Find the square root of $324$ by the method of repeated subtraction.

Q. Which number will form a Pythagorean triplet with 9 and 12?​

1. 10
2. 14
3. 15
4. 11

Q.

Find the value of $(201{)}^2$

1. $40,104$

2. $40,401$

3. $40,441$

4. $40,414$

Q.

Question 9(e)
Use the sign of >, < or = in the box to make the statements true.
$-231+79+51\square -399+159+81$

Q. Find the value of 'y' if $5^y=25$

1. 3
2. 4
3. 1
4. 2

Q. What is the value of $X$, if the value of ${33333}^2$ is $11110XXXX9$.

1. 8

Q. Find the remaining members of the Pythagorean triplet whose smallest member is 7.

1. 24, 25
2. 40, 41
3. 35, 37
4. 12, 13

Q. What is the least number that must be added to 105 to get a perfect square?

1. 39
2. 10
3. 13
4. 16

Q.

Question 40 (a)

Fill in the blanks with <, > or = sign.
$3^2\text{\_\_}15$

Q. Verify that the following numbers represent Pythagorean triplet:
(i) 12, 35, 37
(ii) 7, 24, 25
(iii) 27, 36, 45
(iv) 15, 36, 39

Q. Which of the following numbers does not form a Pythagorean triplet?

1. (28, 45, 53)
2. (5, 12, 13)
3. (48, 65, 73)
4. (9, 40, 41)

Q.

What are the first three digits in the square of 135?

1. 182

2. 128

3. 821

4. 218

Q.

The value of ${24}^2$ is equal to

1. 536

2. 636

3. 676

4. 576

Q.

, $m^2+1,m^2-1formaPythagoreantriplet$

1. m
2. 2m
3. 3m

Q.

If a natural number 'm' can be expressed as $n^2$, where n is an integer, then 'm' is a ___________.

1. natural

2. integer
3. negative

4. decimal

Q.

Find the square of $6\times {10}^{24}$

1. $2\times {10}^{192}$

2. $12\times {10}^{192}$

3. $36\times {10}^{48}$

4. $36\times {10}^{96}$

Q.

The Value of ${31}^2$ is equal to

1. 981

2. 961

3. 991

4. 1001

Q.

Find the value of $5^2\times 4^2$

1. 800

2. 400

3. 600

4. 200

Q. There are non-square numbers between $n^2$ and $(n+2{)}^2$.

1. $2n+4$
2. $2n$
3. $4n+2$
4. $2n+2$

Q.

Find the value of ${(-2)}^6$.

1. -12

2. 12

3. -64

4. 64

Q. Find the least number that must be added to 3325 so as to get a perfect square.

1. 23
2. 39
3. 41
4. 93

Q.

Find the value of $(2.5{)}^2\times (0.4{)}^2$

1. 0.1

2. 100

3. 10

4. 1

Q.

Find the value of $(1.8{)}^2\times (0.5{)}^2$

1. 0.081

2. 0.81

3. 81

4. 8.1

Q.

Choose the right option for the blank.

$6^2$ + $7^2$ + $($__${)}^2$ = ${43}^2$

1. 41

2. 40

3. 42

4. 43