Some Important models on Simplifications problems

In this article we are going to tell tricks for some simplification problems which you will get in bank exams every time.
Example :
Find the value of 115 % of 430 + 36% 0f 170.
Ans:
Write 115 % as (100+10+5) %                    36% we can write as (30+6)%
          100 % 0f 430 means 430                                30% of 170 means 51
           10 % of 430 means 43                                  1% means 1.7
            5% means 43/2 i.e 21.5                                 6% means 6*1.7=10.2
 add above 3 values 430
                                   43                                         add both values i.e (30+6)% =51+10.2=61.2
                                   21.5                                                                
                                 ----------
                                  494.5


               115 % of 430 + 36% 0f 170 = 494.5+61.2 = 555.7


Example :
Find the value of 3(1/2) +5(3/4)-2(7/8)
Ans:
        Write the above question as below                                      {x(a/b) = x+(a/b)}
                     3+5-2+(1/2)+(3/4)-(7/8)
                      6+(3/8)
                     we can write 6+(3/8) as 6(3/8)


Example :Evaluate



Ans:

In the above question 34^2 - 56^2

 we can write as (34+56)(34-56)

                               (34+56)(34-56)/(34+56)

 answer will be 34-56 i.e -22

Note :

we have to learn some formulas for this type of questions .

Example: find the value of  x .
                  

6²   ×  (6⁵)⁴ ÷ 6³  ₌  6^x+2  

Ans:

6²   ×  (6⁵)⁴ ÷ 6³  ₌  6^x+2  

6²×6²⁰ ÷6³ = 6^x+2

6²⁺²⁰÷6³ = 6^x+2

6²²÷6³=6^x+2

6^22-3=6^x+2

6¹⁹=6^x+2

X+2=19

X=19-2

X=17

Note: We have to learn some formulas to solve the above model questions . that are

X^m . Xⁿ  =  X^m+n

X^m ÷ Xⁿ  = X^m-n

X^m = Xⁿ  --------à    m=n

                              


***********We are going to add more examples very soon********


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