Ques 13 : given signs signify something and on that basis, assume the given statements to be true and find which of the twoconclusions i and ii is/are definitely true. P + q means p is greater than q p * q means p is greater than or equal than q p = q means p is equal to q p / q means p is less than q p – q means p is less than or equal to q statements x/y, w * z, z + y conclusions i. W + y ii. X/z option 1 : only conclusion i is true option 2 : only conclusion ii is true option 3 : neither conclusion i nor ii is true option 4 : both conclusion i and ii are true
Answers
We have the following conditions.
- P + q means p is greater than q
- p * q means p is greater than or equal than q
- p = q means p is equal to q
- p / q means p is less than q
- p – q means p is less than or equal to q
The statements are x/y , w * z , z + y
x/y means x is less than y ...............(1)
w * z means w is greater than or equal to z ...............(2)
z + y means z is greater than y ...............(3)
The conclusions are
i. W + y means w is greater than y ( which is true by (1) & (2) )
ii. X/z means x is less than z ( which is true by (3) & (1) )
So both the conclusions are True.
So Option 4 is correct. Both the conclusions i & ii are TRUE.
Given:
p + q = p is greater than q
p * q = p is greater than or equal than q
p = q = p is equal to q
p / q = p is less than q
p – q = p is less than or equal to q
Statement 1 : x / y
Statement 2 : w * z
Statement 3 : z + y
Conclusion 1 : w + y
Conclusion 2 : x / z
To find:
The conclusions that are true.
Solution:
From statement 1,
x / y
Hence, x is less than y
From statement 2,
w * z
Hence, w is greater than or equal to z
From statement 3,
z + y
Hence, z is greater than y
Conclusion 1,
w + y
Therefore, w is greater than y
This is satisfied by statements 1 and 2
Conclusion 2,
x / z
Therefore, x is less than z
This is satisfied by statements 1 and 3
So, both the conclusions are True.
Hence, (4) Both the conclusions i & ii are true.