Basics for solution:
In this type of questions. a figure or a matrix is given in which some numbers are filled according to a rule. A place is left blank. You have to find out a character (a number or a letter) from the given possible answers which may be filled in the blank space.
Some examples are Riven below:
Example 1:
Which number will replace the question mark?
Solution:
From fig. a: 6 + 4 + 8 = 18
18 + 2 = 20
From flg. b: 7 + 9 + 8 = 24
24 + 2 = 26
From fig. c: 6 + 5 + 12 = 23
23+2 = 25
Hence the number 25 will replace the question mark.
Example 2:
Which number will replace the question mark?
Solution:
From flg. a: (3)^{2} + (2)^{2} = 13
From fig. b: (4)^{2 }+ (8), = 80
From fig. c: ? = (1)^{2} + (5)^{2}
? = 1 + 25
? = 26
Hence the number 26 will replace the question mark.
Example 3:
Which number will replace the question mark?
Solution:
From fig. a: 7 x 6 + 3 = 45
From fig. b: 5 x 4 + 6 = 26
From fig. c: 7 x 3 + 8 = 29
Hence the number 29 will replace the question mark.
Example 4:
Which number will replace the question mark?
Solution:
From fig. a: 9^{2} + 8^{2} + 7^{2} + 6^{2} = 81 +64 + 49 + 36 = 230
From fig. b: 6^{2 }+ T^{2 }+ 3^{2 }+ 4^{2} = 36 + 49 + 9 + 16 = 110
From fig. c: 9^{2}+ 6^{2 }+ 5^{2} + 4^{2 }= 81 + 36 + 25 + 16= 158
Hence the number 158 will replace the question mark.
Example 5:
Which number will replace the question mark?
Solution:
(4+3)^{2 }=(7)^{2 }=49
(8 + 5)^{2} = (13)^{2 }= 169
(11 + 12)^{2} = (23)^{2} = 529
(10 + 9)^{2} = (19)^{2} = 361
Hence the number 361 will replace the questich mark.
Example 6:
Which number will replace the question mark?
Solution:
From column is I: (9 x 5) % 5 = 9
From column II: (17 x 4) % 4 = 17
From column III: (16 x ?) % 8 = 8
16? = 64
? = 4
Hence the number 4 will replace the question mark.
Example 7:
Which number will replace the question mark?
Solution:
(5)^{2} = 25
(6)^{2} = 36
(4)^{2 }= 16
(7)^{2} = 49
Hence the number 49 will replace the question mark.
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