In these types of questions, a matrix is given, each of which bears numbers following a certain pattern . The candidate is required to decipher this pattern and accordingly find the missing character in the figure. These types of problems are very very important for the exams like SSC CGL, SSC CHSL , RRB NTPC and many other similar competitive exams.
Directions (Qs. 1 - 26): In the following questions select the number which can be placed at the sign of question mark from the given alternatives.
1. 
A) 12 B) 9
C) 16 D) 10
Sol: Fourth Row =
[First Row + Second Row] × [ Third Row]
(23 + 7) × 16 = 480
(19 + 7 ) × 12 = 312
(15 + 8) × 11 = 253
Ans: A
2. 
A) 1405 B) 1211
C) 1666 D) 1614
Sol: Fourth Row = (First number)2 + (Second
number)2 + (Third number)2
For example take the first column
Fourth Row = 112 + 152 + 192 = 707
So, Required missing number
= 152 + 192 + 252 = 1211
Ans: B
3. 
A) 50 B) 51
C) 54 D) 52
Sol: The numbers in the matrix follow the below
mentioned logic:
156 ÷ 6 + 35 = 61
242 ÷ 11 + 53 = 75
240 ÷ 12 + 36 = 56
126 ÷ 9 + 40 = 54
Ans: C
4. 
A) 87 B) 45
C) 39 D) 63
Sol: The above table is following the rule:
167 − 96 = 71
136 − 99 = 37
Similarly,
165 − 78 = 87
Ans: A
5. 
A) 26 B) 28
C) 29 D) 45
Sol: The numbers in the matrix follow the below
mentioned logic:
(45 − 18 ) × 17 = 459
(42 − 25) × 15 = 255
(49 − 28) × 11 = 231
Ans: B
6. 
A) 127 B) 264
C) 175 D) 184
Sol: The numbers in the matrix follow the below
mentioned logic:
162 + 145 − 132 = 175
142 + 169 − 125 = 186
147 + 125 − 162 = 110
Ans: C
7. 
A) 221 B) 214
C) 215 D) 289
Sol: Pattern of the missing element
15 × 6 + 18 = 108
23 × 11 + 36 = 289
41 × 9 + 24 = 393
Ans: D
8. 
A) 9 B) 10
C) 15 D) 12
Sol: The numbers in the matrix follow the below
mentioned logic:
189 ÷ 9 + 12 = 33
150 ÷ 15 + 26 = 36
125 ÷ 5 + 40 = 65
Ans: C
9. 
A) 144 B) 411
C) 121 D) 125
Sol: Pattern of the following table is:
126 × 11 − 126 = 1260
Similarly,
154 × 12 − 154 = 1694
144 × 13 − 121 = 1751
Ans: C
10. 
A) 5 B) 7
C) 11 D) 15
Sol: The pattern of the numbers is:
11 × 8 + 7 × 13 = 179
15 × 14 + 12 × 7 = 294
17 × 13 + 9 × 18 = 383
Ans: B
11. 
A) 25 B) 26
C) 19 D) 15
Sol: 19 × 11 ×18 + 10 = 3772
15 × 10 × 12 + 10 = 1810
14 × 9 × 4 + 16 = 520
Ans: D
12. 
A) 14 B) 20
C) 17 D) 15
Sol: The pattern of the numbers is:
12 × 11 × 9 + 10 = 1198
14 × 15 × 4 + 23 = 863
16 × 11 × 10 + 15 = 1775
Ans: A
13. 
A) 22 B) 24
C) 15 D) 30
Sol: The pattern of the numbers is:
23 × 21 − 22 = 461
21 × 22 − 23 = 439
25 × 23 − 24 = 551
Ans: B
14. 
A) 5 B) 9
C) 4 D) 10
Sol: The numbers in the matrix follow the below
mentioned logic:
528 ÷ 11 + 75 = 123
125 ÷ 5 + 12 = 37
234 ÷ 12 + 39 = 58.5
Ans: A
15. 
A) 15 B) 16
C) 17 D) 18
Sol: The pattern of the numbers is:
8 × 9 × 10 + 11 = 731
16 × 14 × 12 + 10 = 2698
9 × 6 × 3 + 1 = 163
Ans: B
16. 
A) 189 B) 179
C) 169 D) 156
Sol: The numbers in the matrix follow the below
mentioned logic:
207 + 143 − 189 = 161
145 + 156 − 195 = 106
158 + 124 − 165 = 117
Ans: D
17. 
A) 13 B) 15
C) 16 D) 12
Sol: The numbers in the matrix follow the below
mentioned logic:
156 ÷ 12 + 19 = 32
125 ÷ 25 + 26 = 31
195 ÷ 15 + 10 = 23
203 ÷ 7 +51 = 80
Ans: B
18. 
A) 15 B) 16
C) 13 D) 14
Sol: The numbers in the matrix follow the below
mentioned logic:
(15 − 9) × 17 = 102
(25 − 19) × 15 = 90
(23 − 17) × 11 = 66
Ans: A
19. 
A) 13 B) 16
C) 26 D) 10
Sol: The numbers in the matrix follow the below
mentioned logic:
(64 + 32) ÷ 16 = 6
(25 + 39 ) ÷ 8 = 8
(15 + 29 ) ÷ 11 = 4
Ans: B
20. 
A) 5 B) 4
C) 9 D) 7
Sol: The pattern of the numbers is:
14 × 5 + 8 × 23 = 254
15 × 6 + 12 × 5 = 150
8 × 12 + 15 × 2.2 = 129
Ans: A
21. 
A) 62 B) 50
C) 60 D) 70
Sol: The pattern of the numbers is:
Ans: A
22. 
A) 10 B) 5
C) 6 D) 9
Sol: The pattern of the numbers is:
31 × 6 − 8 = 178
25 × 9 − 11 = 214
60 × 8 − 15 = 465
Ans: D
23. 
A) 19 B) 26
C) 32 D) 45
Sol: The pattern of the numbers is:
182 + 202 = 724
162 + 322 = 1280
152 + 212 = 666
Ans: C
24. 
A) 16 B) 13
C) 15 D) 19
Sol: The pattern of the numbers is:
27 × 11 − 16 = 281
42 × 8 − 19 = 317
35 × 16 − 45 = 515
Ans: D
25. 
A) 20 B) 35
C) 25 D) 40
Sol: The pattern of the numbers is:
(27 × 12) ÷ 6 = 54
(54 × 16) ÷ 12 = 72
(45 × 14) ÷ 35 = 18
Ans: B
26. 
A) 25 B) 33
C) 21 D) 29
Sol: The numbers in the matrix follow the below
mentioned logic:
(45 − 21) × 12 = 288
(56 − 33) × 11 = 253
(42 − 17) × 8 = 200
Ans: B
