Numbers between Square Numbers

Q. There are 14 non square numbers between the squares of ____.

1. $7\&8$
2. $6\&7$
3. $8\&9$
4. $14\&15$

Q. How many natural numbers lie between ${11}^2$ and ${12}^2$?

1. 22

Q.

What is the number of non-square numbers between the squares of 11 and 12?

1. 22

2. 23

3. 24

4. 25

Q.

The largest perfect square between 4 and 50 is ___.

1. 25

2. 36

3. 49

4. 45

Q.

If the digit at unit place of a square number is 1, then it is a square of a number___.

1. whose unit place digit is either 9 or 1.

2. whose unit place digit is 7.

3. whose unit place digit is 8.

4. whose unit place digit is either 5 or 1.

Q. Largest perfect square between 4 and 50 is

1. 25
2. 45
3. 36
4. 49

Q.

The total number of non-square natural numbers between ${16}^2$ and ${17}^2$ is

1. 34

2. 16

3. 32

4. 17

Q.

How many natural numbers lie between $2^2$ and $3^2$?

1. 3

2. 4

3. 6

4. 2

Q.

Answer the question:

Can a triangular number be a square number? Explain.

Q. Find perfect square numbers between $180$ & $200$.

1. ${12}^2=144$
2. ${14}^2=196$
3. ${13}^2=169$
4. ${15}^2=225$

Q. The total number of non-square natural numbers between ${16}^2$ and ${17}^2$ $=a\times b=c$. What is the value of $a$, $b$ and $c$ respectively?

1. 2, 17, 34
2. 2, 16, 32
3. 2, 15, 30
4. None of these

Q. A magic square is an array of numbers having the same number of rows and columns and the sum of numbers in each row, column or diagonal being the same. Fill in the blank cells of the following magic square:

(i)

	8	13
	12
11

(ii)

22		6	13	20
	10	12	19
9	11	18	25
15	17	24	26
16			7	14

Q.

Question 4(a) :

Fill in the missing fractions:

$\frac{7}{10}-\square =\frac{3}{10}$

Q. Addition of two consecutive _________ numbers gives square numbers.

1. natural
2. odd
3. triangular
4. whole

Q. How many numbers lie between the squares of
(a) $20$ and $21$
(b) $20$ and $30$

1. $a\left)41b\right)500$
2. $a\left)40b\right)499$
3. $a\left)40b\right)500$
4. $a\left)41b\right)499$

Q. Let A and B be two disjoint sets. If the cardinality of A is equal to square of 3 and cardinality of B is equal to square root of 16, then what is the cardinality of A $\cup$ B?

1. 13
2. 19
3. 265
4. 7

Q. Between $n^2$ and $(n+1{)}^2$, there are $2n$ non-square numbers.

1. True
2. False

Q.

Find the product: $(98\times 14)+(98\times 86)$

1. 112

2. 1

3. 9800

4. 98

Q.

The total number of non-square natural numbers between ${16}^2$ and ${17}^2$ $=a\times b=c$. What is the value of $a$, $b$ and $c$ respectively?

1. 2, 17, 34

2. 2, 16, 32

3. 2, 15, 30

4. None of these

Q.

How many natural numbers are there in between $9^2$ and ${11}^2$?

1. 37

2. 38

3. 36

4. 39

Q. Square of 18 is

1. 324
2. 256
3. 335
4. 465

Q. Between $n^2$ and $(n+1{)}^2$, there are $2n$ non-square numbers.

1. True
2. False

Q. Find two positive integers such that the square of one exceeds the square of the other by $105$.

Q. Without drawing a diagram, find

(i) 10th square number
(ii) 6th triangular number.

Q.

Without drawing a diagram, find
$\left(i\right)10\text{th}$ square number
$\left(ii\right)6\text{th}$ triangular number.

Q. Numbers lying between ${42}^2$ & ${43}^2$ are:

1. $48$
2. $84$
3. $24$
4. $20$

Q.

Find the product of $12\times 125\times 9\times 8$using a suitable arrangement.

Q.

Find each of the following products : $(-12)\times (-11)\times (10)$

Q.

Find each of the following products : $(-316)\times (-1)$

Q. Determine if the following is in proportion.
$4,6,8,12$.