Inserting Missing Number
Category : 5th Class
Inserting Missing Number
Learning Objectives
Introduction
In these types of questions different characters/numbers/letters) are arranged in a matrix with one term missing or characters are arranged in a wide range of geometrical figures. The characters in such arrangement follow a certain pattern and you are required to identify that pattern so that you can substitute the question mark (?) with a suitable character.
Such questions can be solved as series (numbers/letters) are done. No particular and specific rules are applied in such questions. Although you must keep the following tips in your mind:
|
4 |
9 |
2 |
|
3 |
? |
7 |
|
8 |
1 |
6 |
(a) 7 (b) 8
(c) 9 (d) 5
(e) None of these
Answer (d)
Explanation: It is a magical square starting from 1 to 9 and sum of each diagonal/ row or column is equal to 15.
2. What is the missing number in the given series below?
(a) 32 (b) 36
(c) 42 (d) 56
(e) None of these
Answer: (b)
Explanation: Pattern followed in 
is \[Q=P\times 2+2\]
Hence, number in lower part of the fourth circle is \[~17\times 2+2=34+2=36\]..
3. Which number will replace the question mark in the figure given below?
(a) 36 (b) 58
(c) 97 (d) 82
(e) None of these
Answer: (c)
Explanation: Rule followed in each figure.
\[\left( Y-Z \right)\times 4=X\]
Hence, \[\left( Y-79 \right)\times 4=72\]
\[\Rightarrow ~Y-79=\frac{72}{4}~=\text{ }18\]
\[\Rightarrow Y=18+79=\]
4. Find the missing number in the pattern given below:
(a) 8 (b) 7
(c) 6 (d) 5
(e) None of these
Answer: (c)
Explanation: Sum of numbers of lower portion doubles off in upper portion.
\[10+3+6=19\times ~2=38\]
\[6+5+7=18\times ~2=36\]
\[3+4+5=12\times ~2=24\]
5. Find the missing numbers if certain rule, is followed in each of the given figures.
(a) 35 (b) 65
(c) 80 (d) 95
(e) None of these
Answer: (c)
Explanation:
\[\left. \begin{align}
& 1\times 1+5\times 5 \\
& 1+25=26 \\
\end{align} \right\}\] \[\left. \begin{align}
& 3\times 3+7\times 7 \\
& 9+49=58 \\
\end{align} \right\}\] \[\left. \begin{align}
& 4\times 4+8\times 8 \\
& 16+64= \\
\end{align} \right\}\]
6. Find the missing number, if same rule is followed in all the three figures.
(a) 74 (b) 58
(a) 74 (b) 58
(c) 47 (d) 36
(e) None of these
Answer: (c)
Explanation: Following this pattern as
\[(13\times 8)-\left( 13+8 \right)=10421=83\].
\[(11\times 9)-\left( 11+9 \right)=99-20=79\].
Similarly,
7. Find the missing number, if same rule is followed in all three figures.
|
14 |
9 |
|
8 |
17 |
|
19 |
7 |
|
120 |
138 |
? |
|||||
(a) 112 (b) 127
(c) 138 (d) 5
(e) None of these
Answer: (b)
Explanation: Rule followed in each Box
Similarly, 
8. Find the missing number, if a certain rule is followed row wise or column–wise.
|
9 |
12 |
5 |
|
54 |
? |
35 |
|
12 |
15 |
14 |
(a) 180 (b) 125
(c) 90 (d) 45
(e) None of these
Answer: (c)
Explanation: Rule followed in the given matrix
9. Find the missing number, if same rule is followed in all the three figures.
(a) 5 (b) 6
(c) 7 (d) 8
(e) None of these
Answer: (b)
Explanation: \[\]
Hence, 
10. Find the missing number, if a certain rule is followed row?wise or column?wise.
|
1 |
3 |
5 |
|
2 |
4 |
1 |
|
5 |
6 |
3 |
|
64 |
? |
81 |
(a) 25 (b) 36
(c) 169 (d) 225
(e) None of these
Answer: (c)
Explanation: \[1+2+5=8\Rightarrow ~8\times ~8=64\].
\[5+1+3=9\Rightarrow ~9\times 9=81\].
11. Find the missing number, if a certain rule is followed row wise or column–wise.
|
5 |
6 |
7 |
|
8 |
9 |
4 |
|
3 |
2 |
1 |
|
42 |
? |
29 |
(a) 64 (b) 57
(c) 49 (d) 36
(e) None of these
Answer: (b)
Explanation: \[5\times ~8+2=40+2=42\].
\[7\times 4+1=28+1=29\].
12. Find the missing number, if a certain rule is followed row–wise or column–wise.
|
3 |
8 |
1 |
|
2 |
? |
6 |
|
7 |
0 |
5 |
(a) 7 (b) 5
(c) 3 (d) 4
(e) None of these
Answer: (d)
Explanation: Sum of all Row and sum of all column is equal
13. Find the missing number, if same rule is followed in all the three figures.
(a) 21 (b) 20
(c) 35 (d) 40
(e) None of these
Answer (b)
Explanation:
\[\left( 8559 \right)+\left( 2516 \right)~\left( 7964 \right)+\left( 3529 \right)~\left( 4936 \right)+\left( 169 \right)\]
.
Commonly Asked Question
(a) 27 (b) 37
(c) 47 (d) 57
(e) None of these
Answer: (b)
Explanation: Pattern followed in 
is \[Q=P\times 2+3\]
Hence, number in lower part of the fourth circle is \[\Rightarrow ~17\times 2+3=34+3=37\].
2. Which number will replace the question mark in the figure given below?
(a) 12 (b) 17
(c) 18 (d) 32
(e) None of these
Answer: (c)
Explanation: 
.
3. Find the missing number in the pattern given below
(a) 5 (b) 6
(c) 7 (d) 8
(e) None of these
Answer: (c)
Explanation: Sum of numbers of lower portion doubles off in upper portion.
\[9+2+5=16\times 2=32\]
\[12+1+5=18\times 2=36\]
\[13+3+2=18\times 2=36\]
4. Find the missing number, if same rule is followed in all the three figures.
(a) 45 (b) 56
(c) 64 (d) 74
(e) None of these
Answer: (d)
5. Find the missing number, if same rule is followed in all the three figures.
(a) 90 (b) 111
(c) 135 (d) 89
(e) None of these
Answer: (b)
Explanation: Following this pattern as
\[(14\times ~8)\left( 14+8 \right)=11222=90\].
\[(15\times ~9)\left( 15+9 \right)=13524=111\].
Similarly. 
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