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July 15, 2013

Mathematical Operations

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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,
  1. Symbol Substitution
  2. Mathematical Logic
  3. 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 ?
  1. 3 + 2 < 4 % 6 > 3 x 2 
  2. 3 x 2 < 4 % 6 + 3 < 2
  3. 3 > 2 < 4 - 6 x 3 x 2 
  4. 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
  1. x, x, x
  2. =, +, x
  3. x, +, x
  4. +, -, 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 :)


28 comments:

  1. LIC AAO RESULTS OUT
    NAveen Kumar

    ReplyDelete
  2. LIC AAO RESULT OUT MAM


    http://www.licindia.in/pages/Onlinetestresults.pdf

    BY- GURSIMRAN SINGH

    ReplyDelete
  3. Good 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.

    ReplyDelete
  4. gr8 work...plz provide online test for rbi assistant exam.

    ReplyDelete
  5. Thank you, for providing such a great training thanks a lot

    ReplyDelete
  6. Thank you so much mam... :)

    ReplyDelete
  7. in 3rd type example ..2nd option is "-" not "="

    ReplyDelete
  8. Gud mrg sir/mam.
    M new enterg person n ths website...i want more tips for bank exams...hw i can prepare for that?

    ReplyDelete
  9. gdmrg..
    i want tips for bank exams?

    ReplyDelete
  10. madam m new enter n ths website...m preparing for bank exams...hw ll prepare that?all ready 6months prepared bt my problem is time management..hw i can prepare...help me..

    ReplyDelete
  11. i didnt understand type 3 will u explain with clear vision

    ReplyDelete
  12. plz 2nd type example solve step by step

    ReplyDelete
  13. ma'am could u kindly help me out with this problem:

    select 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.

    ReplyDelete
    Replies
    1. the answer would be a)

      Explanation: 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.

      Delete
    2. excellent pa.

      Delete
  14. sir, how to download the above material? i need more example problems

    ReplyDelete
  15. Thank you for this site...very useful :)
    In the fifth example ,the answer is 22 right (32-6+4)

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

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

      Delete
  16. Great , Appreciable work done by you mam..

    ReplyDelete
  17. In question 4th
    18%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

    ReplyDelete
  18. In question 4th
    18%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

    ReplyDelete
  19. @garima (-8+6)=-2
    according to question
    6x9-8+6
    54-2=52

    ReplyDelete
  20. 42%of 7 never become 6

    ReplyDelete

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