Addition of Odd Numbers to Get Squares

Q.

Find the least perfect square with four digits

Q.

What least number must be added to 6072 to make it a perfect square

Q. What is the sum of first six odd natural numbers?

1. 25
2. 42
3. 36
4. 49

Q.

Find the least number that must ne added to 1500 so as to get a perfect square.

Q.

The sum of first 16 odd numbers is ___.

1. 246

2. 256

3. 296

4. 286

Q. Is 9408 a perfect square ? Find the smallest number by which it should be divided to make it a perfect square.

Q.

What least number should be subtracted from 893304 to get a perfect square? Find the square root of this perfect square?

Q.

Find the least number, that has to be added to 55078, so that the resulting number is a perfect square.

1. 167

2. 157

3. 147

4. 137

Q. Find the smallest prime number multiplied to 72 to obtain a perfect square number.

1. 2
2. 3
3. 5
4. None of the above

Q. Find the least number which must be added to 6203 to obtain a perfect square. Find this perfect square and its square root.

Q.

Which number should be multiplied to 1575 to make it a square number?

1. 4

2. 5

3. 6

4. 7

Q. Find the least multiple of 1575 which is a perfect square.

1. 11025
2. 10045
3. 6845
4. 8925

Q.

Question 6 (iv)

For the following number, find the smallest whole number by which it should be divided so as to get a perfect square. Also, find the square root of the square number so obtained:

2645

Q.

The value of the expression ${101}^2$ - ${100}^2$ is ___.

Q.

The general term in the series $11,21,31,41,51,...$ will be

1. $10n-9$

2. $10n-1$

3. $n+10$

4. $10n+1$

Q. Find the smallest number by which 3645 must be multiplied so that it becomes perfect square.

Q.

How many consecutive odd numbers will be needed to obtain the sum as $6^3$ ?

Q. Find the least number which must be added to 6203 to obtain a perfect square and its square root.
Please explain step by step.

Q. What is the sum of successive odd natural numbers?

1. n x n
2. n / n
3. n + n
4. 0

Q.

Find the least number which must be added to each of the following numbers so as to get a perfect square. Also find the square root of the perfect square so obtained.

(i) 525 (ii) 1750

(iii) 252 (iv) 1825

(v) 6412

Q. 17. Find the least no which must be added to 525 to get a perfect square . Also find the square foot of the perfect square

Q.

Question 11

Write the correct answer from the given four options.

The sum of successive odd numbers 1, 3, 5, 7, 9, 11, 13 and 15 is

a) 81
b) 64
c) 49
d) 36

Q.

How to find square root of 4.2025

Q.

Using the prime factorisation, find the factors of $81$and also its square root.

Q.

Without adding, find the sum:
(i) (1+3+5+7+9+11+13)
(ii) (1+3+5+7+9+11+13+15+17+19)
(iii) (1+3+5+7+9+11+13+15+17+19+21+23)

Q.

Find the smallest number by which 405 must be divided, so as to get a perfect square.

1. 3

2. 9

3. 15

4. 5

Q. $1+3+5+7+......$
If the sum of the above pattern is 81, then how many terms are present in the above series?

1. 7
2. 8
3. 9
4. 10

Q. Tick (✓) the correct answer
What least number must be added to 15370 to make it a perfect square?
(a) 4
(b) 6
(c) 8
(d) 9

Q. Find the smallest prime number multiplied to 72 to obtain a perfect square number.

1. 2
2. 3
3. 5
4. None of the above

Q.

Calculate the sum $2+(-2)+2+(-2)+.....$

If the number of terms is $15$