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Question 1 of 5
1. Question
In which of the following expressions ‘J < L’ is true?
Correct
Sol. (1)
In 2 and 3, J and L can’t be compared. In 4, J ≥ L.
Incorrect
Sol. (1)
In 2 and 3, J and L can’t be compared. In 4, J ≥ L.

Question 2 of 5
2. Question
Which of the following pair of symbols should replace the question marks in the given expression in order to make the expression ‘D > F’ and ‘H ≥ E definitely true?
‘C ≥ D ? E = F ? G = H
Correct
Sol. (2)
Check for (1): C ≥ D < E = F = G = H
Thus, D < F. Hence, 1 is not correct.
Check for (2): C ≥ D > E = F ≤ G = H
Thus, D > F and H ≥ E. Hence, 2 is correct.
Check for (3): C ≥ D ≥ E = F ≤ G = H
Thus, D ≥ F. Hence, 3 is not correct.
Check for (4): C ≥ D = E =F ≤ G = H
Thus, D = F. Hence, 4 is not correct.
Incorrect
Sol. (2)
Check for (1): C ≥ D < E = F = G = H
Thus, D < F. Hence, 1 is not correct.
Check for (2): C ≥ D > E = F ≤ G = H
Thus, D > F and H ≥ E. Hence, 2 is correct.
Check for (3): C ≥ D ≥ E = F ≤ G = H
Thus, D ≥ F. Hence, 3 is not correct.
Check for (4): C ≥ D = E =F ≤ G = H
Thus, D = F. Hence, 4 is not correct.

Question 3 of 5
3. Question
Which of the following expressions will be true, if the given expression P = Q < R ≤ S = T ≤ C is definitely true?
Correct
Sol. (4)
Given expression P = Q < R ≤ S = T ≤ C
Check for (1): T ≤ C. Hence option (1) is not true.
Check for (2):
Hence, option (2) is not true.
Check for (3):
R > P. Hence, option (3) is not true,
Check for (4):
Hence, option (4) is true.
Incorrect
Sol. (4)
Given expression P = Q < R ≤ S = T ≤ C
Check for (1): T ≤ C. Hence option (1) is not true.
Check for (2):
Hence, option (2) is not true.
Check for (3):
R > P. Hence, option (3) is not true,
Check for (4):
Hence, option (4) is true.

Question 4 of 5
4. Question
Which of the following expressions will be true, if the given expression ‘Z > Y ≥ X < W < V’ is definitely true?
Correct
Sol. (2)
Given expression: Z > Y ≥ X < W < Vm
We can’t compare Z and W, or Y and W. Hence, option 1), 3) and 4) do not follow. But X < V means V > X holds true. Hence, option 2) is true.
Incorrect
Sol. (2)
Given expression: Z > Y ≥ X < W < Vm
We can’t compare Z and W, or Y and W. Hence, option 1), 3) and 4) do not follow. But X < V means V > X holds true. Hence, option 2) is true.

Question 5 of 5
5. Question
If the expressions ‘V < Q ≤ S > A’, ‘S ≤ B’ and ‘V > U are true, which of the following conclusions will be definitely false?
Correct
Sol. (4)
Given expressions:
V < Q ≤ S > A ….(i)
S ≤ B ….(ii)
V > U …. (iii)
Combining (i) and (iii), we have U < V < Q ≤ S > A
Hence, U < S is true.
Now, again combining (i), (ii) and (iii), we have U < V < Q ≤ S ≤ B
Hence, U < B is true. And V < B means B > V is true.
Incorrect
Sol. (4)
Given expressions:
V < Q ≤ S > A ….(i)
S ≤ B ….(ii)
V > U …. (iii)
Combining (i) and (iii), we have U < V < Q ≤ S > A
Hence, U < S is true.
Now, again combining (i), (ii) and (iii), we have U < V < Q ≤ S ≤ B
Hence, U < B is true. And V < B means B > V is true.
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