Question

A,B,C are three rational numbers such that
1) B is twice of A
2) C is two third of B
Q1. circle yes or no for each of the following statements
1.If A if 7/12 then B is 14/2 yes/no
2.if B is 12 then C is 8 yes/no
3.A is three-fourth of c. Yes/no
Q2 find the value of A+B-C if C is equal to
Q3 if A equals 7/12 then check wether A×B is two times square of 7/12 or not.
Q4 What is the value of A÷C
a.4/3
b.3/4
c.2/3
d.3/2
Q.5 Express the multiplicative inverse of B in terms of A
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Answer 1

Answer:

Step-by-step explanation:

b = 2a, c = 2(2a)/3 = 4a/3

Q1

1) a=7/12 then,

b= 2a=7/6

Answer is NO...

2)

b=12 then, 2a = 12

Therefore,a=6

c = 4(6)/3 = 8

Answer is YES

3)

c=4(a)/3

So, a is not equal to three-fourth of c

Q2 is inappropriate

Q3

Check if a*b = 2*7²/12²

b= 2a

So, b = 2(7)/12 = 7/6

LHS

7/12 divided by 7/6

Therefore, 7/12*7/6 = 7/36

RHS

2*49/144 = 49/72

LHS is not equal to RHS

Hence proved...

Answer is NO

Q4

a divided by c

c = 4a/3 = 4/3*7/12 = 7/9

7/12 divided by 7/9 = 7/12*9/7 = 3/4

Therefore a divided by c = 3/4{option b}