Mathematical Operations Questions

Using Trial and error method,

From the options  u = 1, v = 3/2 satisfies both the equations.

Given equation is  

  192.5 ×19p = 197   

Here it is in the form of am × an = am+n  

 Here m = 2.5 , n = p, m+n = 7

 => 2.5 + p = 7 

 => p = 7 - 2.5

 => p = 4.5

Here 12 x 2.5 = 30

 In the same way 14 x 2.5 = 35

Using Correct Symbols , We have :

Given expression = 30 / 2 + 3 x 6 - 5 = 15 + 18 - 5 = 28

Let the runs scored by P, Q, R, S and T be  a, b, c, d and e

From given data,

a + b + c + d + e = 36 x 5 = 180
b + c = 107
Let a = x
e = x-8
d = x-3
now 3x - 11 + 107 = 180
3x = 84
x = 28
e's score = 28-8 = 20

Given (49.001)²  = ?

=> =~ 49 x 49

=~ 2401

=~ 2400 

This can be done in a method called Approximation.

Now, 

$$\begin{gathered} 52 + 63 + 6 + 72 = ? x 3.34 \\ 25 + 216 + 6 + 49 = ? x 3.34 \\ 296 = ? x 3.34 \\ ? = 2963.34 = 88.622 ≅ 89 \end{gathered}$$

Given 5x - 6 = 3x - 8

5x - 3x = -8 + 6

2x = -2

=> x = -1.