Question

A>B means A is 3 times of B
A U B means B is 3 times of A
A/B means A is less than B
A*B means A is equal to B
Statements
H>I,J U I and J/K
conclusion
1. I/K
2. H>3J​

Answer 1

Answer:

Only conclusion 1 is true

Answer 2

Answer:

option (2)  H>3J is the correct conclusion.

Step-by-step explanation:

Given: A > B means A is 3 times of B.

          A ∪ B means B is 3 times of A.

          A/B means A is less than B.

          A * B means A is equal to B.

And also given the statements H > I, J ∪ I and J/K.

To find : the conclusion 1. I/K and 2. H > 3J.

Solution :

As given, H > I ⇒  H is 3 times of I ⇒ H = 3I

               J ∪ I ⇒ I is 3 times  J ⇒ I = 3J

                J/K   ⇒J is less than K.

1We will check 1.  

I / K  ⇒ I is less than k ⇒ I < K----eq.(1)

given I = 3J.puting I = 3J in eq.(1). So 3J < K.

But , only J is less than K is given and not 3J less than k.

but we got 3J less than K, which is not correct.

So option (1) is incorrect conclusion.

Now 2. H > 3J.

⇒ H is 3 times of 3J.

⇒H  = 3×3J = 3 × I ( since, I = 3J, J ∪ I )

⇒ H = 3I, which means H is 3 times of I.

⇒H > I.

Hence it satisfies the statement.

So, option(2) H>3J  is the correct conclusion.

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