Pattern Formation

Q.

If $aN=\left\{ax:x\in N\right\}$ and $bN\cap cN=dN$ where $b,c\in N$ are relatively prime then

1. $d=bc$

2. $c=bd$

3. $b=cd$

4. $a=bd$

Q.

What is the square root of 6.25?

1. 2.5

2. 25.0

3. 0.25

4. 0.025

Q.

69 is a perfect square.

1. True

2. False

Q.

Write four consecutive odd numbers succeeding $79.$

Q.

Find the missing term in the pattern.

1, 4, ___, 16, 25

1. 4

2. 16

3. 3

4. 9

Q. The cost of bananas is Rs96.Find the cost of 1banana

Q. Find the expression for the given sequence
3, 6, 9, 12 .......(take n as 'n'th term)
and find the 7th term in the sequence.

1. 3n, 21
2. 3n - 1, 20
3. 3n + 1, 22
4. 3n + 2, 23

Q. What is the rule for the number of matchsticks for the pattern below if 'n' represents the number of squares ?

( 4 line segments in 1 square are considered as 4 matchsticks )

1. 2n
2. 2n+2
3. 4n
4. 4n-2

Q.

There are 500 children in a school. For a P.T. drill they have to stand in such a manner that the number of rows is equal to number of columns. How many children would be left out in this arrangement.

Q. In the sequence 1, 4, 9, 16 next term is .

1. 25
2. 23
3. 27

Q. Find the number of blades in n fans if each fan has 4 blades.

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

Q.

How many squares are there in the given figure?

1. 10
2. 14
3. 15
4. 12

Q. What will be the number in the 3rd position if the number and its position follow the following pattern?

$Numberat{}^{\prime }{n}^{\prime }thposition=2n+1$

1. 3
2. 7
3. 9
4. 1

Q. What's the expression for the given sequence of numbers if n indicates 'n'th number?
1, 3, 5, 7, 9.........

1. 2n + 1
2. 2n
3. 2n - 1
4. 2n + 2

Q. Pavan is making a human face using stickers, for 1 face he need 3 stickers, for 2 faces he need 6 stickers and so on. How many stickers does he require to make 6 faces?

1. 18 stickers
2. 12 stickers
3. 15 stickers
4. 9 stickers

Q. Match the following figures according to the number of matchsticks required to make $n^{th}$ figure.

1. 5n+1
2. 2n+1
3. 4n+1

Q.

The method in which we find the value of one unit and then the value of the required number of units is known as ___.

Q.

At an exhibition, the arrangement of paintings was such that there were 6 paintings mounted on a single wall. Find the total number of paintings for the given number of walls. Also find the number of paintings if there were (a) 6 and (b) 7 walls, respectively.

Q. Find the highest power of $3$ which is contained in $|\underset{–}{100}$.

Q. What's the rule for the given sequence of numbers if $n$ indicates ${}^{\prime }{n}^{\prime }$th number?
5, 10, 15, 20.....

1. $5n$
2. $15n$
3. $10n$
4. $3n$

Q.

If $aN=\left\{ax:\in N\right\}$ and $bN\cap cN=dN$, where $b,c\in N$ are relatively prime, then

1. $d=bc$

2. $c=bd$

3. $b=cd$

4. None of these

Q. What's the expression for the given sequence of numbers if n indicates 'n'th number?
1, 3, 5, 7, 9.........

1. 2n + 1
2. 2n
3. 2n - 1
4. 2n + 2

Q. What's the expression for the given sequence
1, 6, 11, 16...... ?

1. 5n + 1
2. 3n + 1
3. 4n - 1
4. 2n + 1

Q. What's the expression for the given sequence
1, 4, 7, 10, 13.....

1. 3n + 1
2. 3n
3. 2n + 1
4. 3n - 1

Q.

A boy while playing with matchsticks observed that five matchsticks are required for making a single 'H' and ten matchsticks for two 'H' and so on. He tried obtaining the rule for calculating number of matchsticks required for making 'n' numbers of H. The correct rule is ______.

1. 2n

2. 3n

3. 4n

4. 5n

Q. Find the number of blades in n fans if each fan has 4 blades.

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

Q. If n is taken as 'n'th number, what is the expression for the given sequence
2, 5, 8, 11 ....... ?

1. 3n - 1
2. 3n
3. 3n + 1
4. 3n + 2

Q. If n is taken as 'n'th number, what is the expression for the given sequence
2, 5, 8, 11 ....... ?

1. 3n - 1
2. 3n
3. 3n + 2
4. 3n + 1

Q. Find the number of matchsticks required for making 'n' 3s.

1. 5
2. 5n
3. n+5
4. n - 5

Q. If 3 fans have 9 blades, find the number of blades for 45 fans?