Olympiad Test: Rational Numbers - 2 - Class 8 MCQ

Explanation: Any non-zero number raised to the power of 0 is always 1. Therefore,

when x is a non-zero rational number.

4o

LCM of 12, 6, 18, 24 = 72

Closure property of rational numbers is satisfied for addition, subtraction and multiplication.
Closure property : The sum of two rational numbers will be a rational of addition for rational number. 

p – q = 22, pq = 240.

Explanation: 5/4 – 8/3

Making the denominator equal:

[(5/4) x (3/3)] – [(8/3) x (4/4)]

= (15/12) – (32/12)

= (15 – 32)/12

= -17/12

                  = 9/2

= 8.24 x 10^-5 

Solution :- x + y = 24

The difference between x and y is 10. In other words, x minus y equals 10 and can be written as equation B:

x - y = 10

Now solve equation B for x to get the revised equation B:

x - y = 10

x = 10 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 24

10 + y + y = 24

10 + 2y = 24

2y = 14

y = 7

Now we know y is 7. Which means that we can substitute y for 7 in equation A and solve for x:

x + y = 24

x + 7 = 24

x = 17

So x/y = 17/7