Inserting Missing Number
Category : 4th 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 or specific rules are applied in such questions. Although you must keep the following tips in your mind:
Let us see some examples to understand this concept properly.
Example:
1. Find the number which will replace the question mark.
(a) 24 (b) 35
(c) 45 (d) 58
(e) None of these
Answer: (c) is correct.
Explanation:
In figure (i), \[12+8+15=35\]
In figure (ii), \[9+15+16=40\]
Similarly,
In figure (iii), \[8+12+25=45\]
Hence, answer is option (c).
2. Identify the number which will replace the question mark.
(a) 144 (b) 246
(c) 348 (d) 384
(e) None of these
Answer: (d) is correct.
Explanation:
In figure (i), \[3\times 2\times 4\times 2=48\]
In figure (ii), \[5\times 2\times 3\times 4=120\]
Similarly,
In figure (iii), \[4\times 2\times 6\times 8=384\]
3. Which number will replace the question mark?
(a) 58 (b) 64
(c) 98 (d) 138
(e) None of these
Answer: (d) is correct.
Explanation:
In figure (i), \[(8\times 4)+(5\times 2)=32+10=42\]
In figure (ii), \[\text{(7}\times \text{8)}+(3\times 4)=56+12=68\]
Similarly,
In figure (iii), \[(6\times 12)+(6\times 11)=72+66=138\]
4. Find the number which will replace the question mark.
(a) 80 (b) 72
(c) 62 (d) 46
(e) None of these
Answer: (b) is correct.
Explanation:
\[4\times 6+5\times 7=24+35=59\]
\[3\times 2+8\times 5=6+40=46\]
Similarly,
\[5\times 9+3\times 9=45+27=\]
5. Insert the missing number.
(a) 240 (b) 270
(c) 180 (d) 260
(e) None of these
Answer (d) is correct.
Explanation:
\[18\times 3\times 5=270\]
\[9\times 6\times 5=270\]
Similarly,
\[13\times 5\times 4=\]
Commonly Asked Question
1. Find the missing number in the place of ‘?’ in the following:
|
1 |
5 |
? |
|
5 |
2 |
6 |
|
3 |
2 |
4 |
|
9 |
9 |
18 |
(a) 5 (b) 7
(c) 8 (d) 9
(e) None of these
Answer (c) is correct.
Explanation: In table, the sum of 1st column in last row is \[1+5+3=9\]. In table, the sum at the end of 2nd column in last row is \[5+2+2=9\] Similarly, In table, the sum at the end of 3rd column in last row is ? \[+6+4=18\]
So the missing number is 8.
2. Insert the missing number.
(a) 59 (b) 64
(c) 75 (d) 88
(e) None of these
Answer (c) is correct.
Explanation: In figure (i), \[15+19=34\]
In figure (ii), \[25+35=60\]
Similarly,
In figure (iii), \[28+47=75\].
3. Find the missing number in the place of ‘?’ in the following:
(a) 9 (b) 4
(c) 7 (d) 5
(e) None of these
Answer (b) is correct.
Explanation: In figure (i), numbers 1, 1, 3, 4, 0, 7 outside the circle form the number 123407 inside the circle.
In figure (ii), numbers 2, 4, 6, 8, 3, 4 outside the circle form the number 246834 inside the circle.
Similarly, In figure (iii), numbers 5, 7, 9, 1, ?, 8 outside the circle form the number 579148 inside the circle.
So the missing number is 4.
4. Find the missing number in the place of ‘?’ in the following:
(a) 30 (b) 34
(c) 39 (d) 59
(e) None of these
Answer (c) is correct.
Explanation:
In figure (i), \[50-38=12\]
In figure (ii), \[41-26=15\]
Similarly,
In figure (iii, \[88-49=39\].
5. Find the missing number in the place of ‘?’ in the following.
(a) 134 (b) 154
(c) 146 (d) 195
(e) None of these
Answer (a) is correct.
Explanation: In figure (i), \[12+24+36+48=120\]
In figure (ii), \[13+23+33+41=110\]
Similarly,
In figure (iii), \[46+18+32+38=134\]
6. Insert the missing number.
(a) 83 (b) 89
(c) 98 (d) 110
(e) None of these
Answer (d) is correct.
Explanation: In figure (i), \[18+23+27=68\]
In figure (ii), \[24+16+23=63\]
Similarly,
In figure (iii), \[28+39+43=110\]
7. Find the missing number.
(a) 28 (b) 39
(c) 11 (d) 32
(e) None of these
Answer (b) is correct.
Explanation:
|
\[9\times 8=72\] |
\[6\times 5=30\] |
\[4\times 7=28\] |
|
\[9+8=\underline{17}\] |
\[6+5=\underline{11}\] |
\[4+7=\underline{11}\] |
|
89 |
41 |
39 |
8. Find the missing number.
(a) 210 (b) 319
(c) 192 (d) 443
(e) None of these
Answer (b) is correct.
Explanation:
\[69\times 5\] \[5\times 29\] \[29\times 11\]
9. Find the missing number.
(a) 6 (b) 5
(c) 4 (d) 3
(e) None of these
Answer (c) is correct.
Explanation:
\[5\times 3+7=15+7=22\] \[2\times 1+4=2+4=6\] \[3\times 1+1=3+1=4\]
10. Find the missing number in the place of ‘?’ in the following:
(a) 152 (b) 142
(c) 136 (d) 128
(e) None of these
Answer (a) is correct.
Explanation: In figure (i), \[26+16+10+18=70\]
In figure (ii), \[18+16+36+35=105\]
Similarly,
In figure (iii), \[18+37+48+49=\]
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