Friends, today we shall discuss another important model
of Reasoning Section Mathematical Operations. Of course, even these
questions are asked under reasoning section these are mainly dependent
on mathematical operations. All calculations will be performed using BODMAS Rule. We can divide these problems in three types.Those are,

- Symbol Substitution
- Mathematical Logic
- Interchange of Signs & Numbers

Now lets discuss these types with detailed examples.

**1st Type : Symbol Substitution **
In this type, to find the value of the given expression you should
replace the symbols by mathematical operations. Then apply the BODMAS
Rule (i.e., Brackets, of, Division, Multiplication, Addition,
Subtraction).

For the detailed understanding, lets have a look at an example

**Example : 42% (9-2) + 6 x 3 - 4**
**Solution :**
42 % (9-2) + 6 x 3 - 4

= 42 % 7 + 6 x 3 - 4

= 6 + 6 x 3 - 4

= 6 + 18 - 4

= 24 - 4 = 20

**2nd Type : Mathematical Logic**
In this type, they just give you some logical statements followed by
some mathematical operations. You should solve the given mathematical
operations with the help of given logical statements.

**Example :** If % stands for greater than, x stands for addition, +
stands for division, - stands for equal to, > stands for
multiplication, = stands for less than, < stands for minus, then
which of the following alternatives is correct ?

- 3 + 2 < 4 % 6 > 3 x 2
- 3 x 2 < 4 % 6 + 3 < 2
- 3 > 2 < 4 - 6 x 3 x 2
- 3 x 2 x 4 = 6 + 3 < 2

Usually for these type of questions people tend to make direct decisions
with the help of given statements. But confusion arises when you tried
to coordinate given mathematical symbols with the logical statements
mentioned above. It is because lack of coordination between eyes and
brain. So, to avoid confusion you just should make a note of given
logical statements in simple mathematical equations format. So that it
will be easier for your eye to pick the correct operation.

by using above logical statements, you can use a rough sketch like this,

now you can calculate the values of given operations mentally by picking
the right hand side symbols instead of left hand side. Or you just can
replace the symbols by taking the reference of above rough sketch.

**Solution : **Using the symbols correctly as given in the above operations, for the option (2) you will get,** 3+2-4>6%3-2. **Using BODMAS rule in this inequality, we will get 5-4>2-2 or, 1>0, which is correct.

**3rd Type : Interchange of Signs & Numbers**

In this type they just give you some random set of numbers and
mathematical symbols. And then ask you to choose the correct of symbols
to fit the given equation.

**Example : **Select the correct set of symbols which will fit in the given equation **5 0 3 5 = 20**

**x, x, x**
**=, +, x**
**x, +, x**
**+, -, x**

**Solution : **Using the set of symbols given in options, you will get the Option 2 as the correct answer.

** **

Using the set of symbols given in option 2, you will get the equation,

5-0+3x5 = 20

Using BODMAS rule you will get,

5-0+15=20 or 20-0 = 20 which is correct

Now lets have a look at some examples,

**1.** '<' means subtraction,
'>' means Addition, '+' means Multiplication and '$' means Division.
Then what will be the value of **27 > 81 $ 9 < 6** ?

**Solution :**

27+81%9-6 = 27+9-6 = 36-6 = 30

**2.** If % means +, - means x, x means -, + means %, then what will be the value of **15 - 2 % 900 + 90 x 100** ?

**Solution :**

15x2+900%90-100 = 30 + 10 - 100 = -60

**3. **Q means Addition, J means Multiplication, T means Subtraction, K means Division then what is the value of **30K2Q3J6T5 **?

**Solution : **

3%2+3x6-5 = 15 + 18 - 5 = 28

**4. **P means x, R means +, T means %, S means -, then what will be the value of **18T3P9S8R6 **?

**Solution :**

By substituting the given symbols, you will get the answer 52

**5. **P means Multiplication, T means Subtraction, M means Addition, B means Division then what will be the value of **28B7P8T6M4 **?

**Solution :**

28 % 7 x8 - 6 + 4

= 4 x 8 - 6 + 4

= 32 - 6 + 4

= 36 - 6 = 30

Thats all for now friends. In our next post we shall discuss some more
problems of Mathematical Operations with higher difficulty level. Happy
Reading :)