### Exercise :: Character Puzzles - Introduction

- Character Puzzles - Introduction
- Character Puzzles - Character Puzzles 1

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 given below.

*Example 1:*

Which number will replace the question mark ?

*Solution :*

From fig. a: 6 + 4 + 8 = 18

18 + 2 = 20

From fig. 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 fig. a: (3)^{2} + (2)^{2} = 13

From fig. b: (4)^{2} + (8)^{2} = 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} + 7^{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 question mark.

*Example 6:*

Which number will replace the question mark ?

*Solution :*

From column 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 :*

From fig. a: (8 x 5) - (4 x 3) = 28

From fig. b: (12 x 7) - (8 x 9) = 12

From fig. c: (5 x 3) - (6 x ?) = 21

15 - 6? = 21

6? = -6

? = **-1**

Hence the number **-1** will replace the question mark.

*Example 8:*

Which number will replace the question mark ?

*Solution :*

In each row there are 'A', 'B' and 'C'

In second row 'A' and 'C' are already there

Hence in place of ?, there will be 'B'.

From first row : 4A x 6C = 24B

From third row : 9B x 4C = 36A

From second row : 5A x ? = 45C

? = (45C/5A)

? = **9B**

Hence the number **9B** will replace the question mark.

*Example 9:*

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.