Question

Question: 1.
Mark for review
Refer to the symbols below and their corresponding meanings.
The given signs denote the following operations/relationships:
A>B means A is 3 times of B
AU B means B is 3 times of A
A/B means A is less than B
A'B means A is equal to B
Which of the two conclusions 1 and 2 is/are definitely true based on the information provided?
STATEMENTS
H>I, JU I and J/K
CONCLUSIONS
1. I/K
2. H> 3J

Answer 1

Answer:

A+B means A is greater than B.

A-B means A is less than B.

A=B means A is greater than or equal to 8.

A B means A is not equal to B.

A/B means A is equal to B.

Which of the two conclusions / and li islare definitely tre

based on the information provided?

Statements: EFG GH Conclusions:

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Explanation:

Answer 2

Conclusion II, H > 3J is true

Given,

A>B means A is 3 times 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:

1. H>I

2. JU I

3. J/K

To find,

Which of the two conclusions 1. I/K 2. H> 3J is true

Solution,

Here,

There are different signs given and each sign has a certain operation or relation.

For the Statements:

1. H>I

2. JU I

3. J/K

We must find the relation using the operations given and find which conclusion is true.

Statement 1,

H>I

H>I means H is 3 times I

Statement 2,

JU I

J U I means I is 3 times of J

Statement 3,

J/K

J/K means J is less than K

Conclusion I:

I/K which means I is less than K

from statement 2, I = 3J

As only J is less than K and 3J is not less than K

I/K is false

Conclusion II:

H> 3J means H is 3 times 3J

H  = 3×3J = 3 × I, since, I = 3J, J U I

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

H > I

Hence, conclusion II  H> 3J is true

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