In Mathematical / Operator Coding Questions, new pattern of Reasoning, digits of a number may be consider individually and Operator may different from the given symbol. Concept and Questions for SSC CGL, CPO, CHSL, RRB and Competitive Exams in Hindi and English.

We have already discussed,

- Trick to Remember Alphabet Position
- Letter to Letter Coding Reasoning
- Letter to Number Coding Reasoning
- Substitution Coding in Reasoning
- Symbol Coding in Reasoning
- Sentence Coding in Reasoning
- Matrix Coding in Reasoning

## Mathematical Coding in Reasoning

In this type of Coding Questions, digits of a number may be consider individually and Operator may different from the given symbol. Therefore, it necessary to practice the questions in solve in the examination.

### Examples: 1

In a coded language, 8/3 =4, and 7/6 =2. What is the code of 9/3

Options : (a) 1, (b) 4, (c) 6, (d) 7

#### Solution

8×3 =24 , Take unit digit as code i.e 4

7×6 =42, Take unit digit as code i.e 2

Similar manner 9×3 =27 and unit digit is 7

Answer is (d) 7

### Example 2:

2-2 =2, 4-4 =12 and 6-6 =30, what is 8-8 = ?

Options : (a) 12, (b) 42, (c) 60, (d) 56

#### Solution

Square of 2 -2 =4-2 =2

and Square of 4-4 =16-4 = 12

Similarly Square of 6-6 = 36-6 =30

Therefore, Square of 8 -8 = 64-8 = 56, Answer is (d)

### Example 3:

16-2 =2 , 9-3 = 0, 81 -1 =8, 64-4 = ?

Square root of 16 is 4-2 =2

3-3 =0, 9-1=8

Therefore, 8-4 =4

### Example 4:

20+15 =24 -> (2+0) + (1+5) = 2 +6 = 8, 8×3 =24

64+13 =42 -> 10+4 =14, 14×3 =42

11+28 = ? -> 2+10 =12×3 = **36**

### Example 5:

54 + 43 =2 , (5-4) + (4-3) = 1 + 1 =2

60 + 51 =10, (6-0) + (5-1) = 6 +4 =10

62 + 72 = ? , (6-2) + (7-2) = 4+5 = **9**

### Example 6:

16×13 =280. 16×13 = 208, Interchange unit and Tenth Digit = 280

14×13 =128, 14×13 = 182 -> 128

15×11 = ? , 15×11 = 165 -> 156

### Example 7

94+31+22 =43, 56+85+28 =86, 27+45+25 = ?

94+31+22 =43, 9×4+3×1 + 2×2 = 36+3+4 = 43

56+85+28 =86, 5×6 +8×5 + 2×8 = 30+40+16 = 86

27+45+25 = ? 2×7 + 4×5 + 2×5 = 14+20+10 =**44**