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- 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 :)

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ReplyDeleteNAveen Kumar

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ReplyDeleteGood Work :) gr8 ambitionz team I wish to tellyou a small correction in the interchange of signs and numbers , the option 2 should have been -,+,x instead of =,+,x.Thats it.

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ReplyDeletethis site is really helpful....thanks a lot gr8ambitionz. carry on!!!!

ReplyDeletein 3rd type example ..2nd option is "-" not "="

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ReplyDeletei didnt understand type 3 will u explain with clear vision

ReplyDeleteplz 2nd type example solve step by step

ReplyDeleteplz solve 2nd type of example

ReplyDeletema'am could u kindly help me out with this problem:

ReplyDeleteselect the related no. from the given alternatives..

583: 488:: 293: ?

a) 378 b) 487 c) 581 d) 291

could u please let me know the approach i should take (the methodolgy to be used) with qns of this kind..

thank you.

the answer would be a)

DeleteExplanation: the sum of the first number is 4 less than the sum of the second number so in that case the sum of 293 = 14 ; 14+4=18 ; hence find the number whose total is 18 out of the options given.

This is what i got, if anyone has any other justification to this then please do post.

excellent pa.

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ReplyDeleteThank you for this site...very useful :)

ReplyDeleteIn the fifth example ,the answer is 22 right (32-6+4)

no it s 30. bcoz, 32-6=26, then add 4 to it which makes 30

Deleteno ans s 30, bcoz 32-6=26, then add 4 to it which makes it 30

DeleteGreat , Appreciable work done by you mam..

ReplyDeleteIn question 4th

ReplyDelete18%3x9-8+6

According to BODMAS

6x9-8+6

54-14

50 so hwz the answer 52 pls clear it will be helpful 4 me

In question 4th

ReplyDelete18%3x9-8+6

accordng to BODMAS

6x9-8+6

54-14

=40 SO hw the answer in 52 pls clear my doubt it will be helpful for me

@garima (-8+6)=-2

ReplyDeleteaccording to question

6x9-8+6

54-2=52

42%of 7 never become 6

ReplyDelete