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, RRB NTPC and many other similar competitive exams.
Directions (Qs. 1 - 23): 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) 10
C) 15
D) 9
Explanation: Fourth row
= [First row + Second row] × [ Third row]
(16 + 5) × 11 = 231
(10 + 8) × 9 = 162
(13 + 3) × 10 = 160
Ans: D
2. 
A) 1315
B) 1325
C) 1710
D) 1700
Explanation: Fourth row
= (First number)2 + (Second number)2 +
(Third number)2
For example take the first column,
Fourth row = 162 + 172 + 182 = 869
So, Required missing number
= 202 + 212 + 222 = 1325
Ans: B
3. 
A) 144
B) 122
C) 114
D) 112
Explanation: The numbers in the matrix follow
the below mentioned logic:
144 ÷ 18 + 26 = 34
231 ÷ 11 + 20 = 41
258 ÷ 3 + 21 = 107
621 ÷ 9 + 45 = 114
Ans: C
4. 
A) 42
B) 44
C) 33
D) 81
Explanation: The above table is following the
rule:
154 − 68 = 86
131 − 89 = 42
Similarly,
145 − 108 = 37
Ans: A
5. 
A) 25
B) 19
C) 14
D) 36
Explanation: The numbers in the matrix follow
the below mentioned logic:
(19 − 10) × 12 = 108
(61 − 36) × 10 = 250
(41 − 19) × 13 = 286
Ans: B
6. 
A) 127
B) 264
C) 175
D) 184
Explanation: The numbers in the matrix follow
the below mentioned logic:
145 + 139 − 100 = 184
155 + 123 − 89 = 189
173 + 215 − 133 = 255
Ans: D
7. 
A) 235
B) 245
C) 125
D) 275
Explanation: Pattern of the missing element
30 × 4 + 11 = 131
21 × 12 + 23 = 275
19 × 12 + 25 = 253
Ans: D
8. 
A) 21
B) 29
C) 10
D) 19
Explanation: The numbers in the matrix follow
the below mentioned logic:
125 ÷ 25 + 35 = 40
240 ÷ 10 + 44 = 68
287 ÷ 14 + 25 = 45.5
Ans: C
9. 
A) 29
B) 43
C) 64
D) 25
Explanation: Pattern of the following table is:
120 × 3 − 165 = 195
45 × 10 − 321 = 129
Similarly,
29 × 15 − 64 = 371
Ans: C
10. 
A) 15
B) 17
C) 21
D) 25
Explanation:
The pattern of the numbers is:
14 × 15 + 13 × 12 = 366
29 × 16 + 8 × 17 = 600
35 × 12 + 12 × 15 = 600
Ans: B
11. 
A) 24
B) 20
C) 30
D) 12
Explanation:
11 × 10 × 9 + 5 = 995
12 × 15 × 7 + 10 = 1270
15 × 14 × 4 + 13 = 853
Ans: D
12. 
A) 14
B) 18
C) 16
D) 15
Explanation:
The pattern of the numbers is:
8 × 9 × 10 + 11 = 731
16 × 8 × 7 + 15 = 911
10 × 12 × 8 + 20 = 980
Ans: C
13. 
A) 11
B) 27
C) 12
D) 26
Explanation:
The pattern of the numbers is:
17 × 18 − 11 = 295
21 × 22 − 23 = 439
24 × 11 − 27 = 237
Ans: B
14. 
A) 13
B) 17
C) 15
D) 19
Explanation: The numbers in the matrix follow
the below mentioned logic:
209 ÷ 11 + 36 = 55
156 ÷ 13 + 58 = 70
234 ÷ 12 + 39 = 58.5
Ans: A
15. 
A) 15
B) 21
C) 20
D) 25
Explanation: The pattern of the numbers is:
16 × 5 × 6 + 15 = 495
21 × 4 × 6 + 15 = 519
15 × 7 × 8 + 30 = 870
Ans: B
16. 
A) 233
B) 254
C) 263
D) 209
Explanation: The numbers in the matrix follow
the below mentioned logic:
155 + 165 − 145 = 175
145 + 209 − 153 = 201
120 + 150 − 116 = 154
Ans: D
17. 
A) 4
B) 9
C) 16
D) 12
Explanation: The numbers in the matrix follow
the below mentioned logic:
217 ÷ 14 + 28 = 43.5
231 ÷ 11 + 29 = 50
153 ÷ 9 + 17 = 34
702 ÷18 + 39 = 78
Ans: B
18. 
A) 10
B) 16
C) 13
D) 14
Explanation: The numbers in the matrix follow
the below mentioned logic:
(29 − 21) × 18 = 144
(39 − 15) × 10 = 240
(29 − 15) × 6 = 84
Ans: A
19. 
A) 13
B) 15
C) 26
D) 10
Explanation: The numbers in the matrix follow
the below mentioned logic:
(75 + 15) ÷ 15 = 6
(16 + 64 ) ÷ 20 = 4
(41 + 19 ) ÷ 12 = 5
Ans: B
20. 
A) 2.5
B) 3
C) 6
D) 7
Explanation: The pattern of the numbers is:
15 × 12 + 16 × 12 = 372
16 × 14 + 14 × 2.5 = 259
12 × 13 + 10 × 7.5 = 231
Ans: A
21. 
A) 67
B) 50
C) 60
D) 70
Explanation: The pattern of the numbers is:
Ans: A
22. 
A) 2
B) 5
C) 4
D) 9
Explanation: The pattern of the numbers is:
26 × 4 − 3 = 101
29 × 4 − 6 = 110
35 × 3 − 4 = 101
Ans: C
23. 
A) 16
B) 17
C) 25
D) 19
Explanation: The pattern of the numbers is:
212 + 122 = 585
142 + 252 = 821
132 + 172 = 458
Ans: C
