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CAT Exam  >  CAT Tests  >  Level-wise Tests for CAT  >  Test Level 2: Coded Inequalities - CAT MCQ

Test Level 2: Coded Inequalities - CAT MCQ


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10 Questions MCQ Test Level-wise Tests for CAT - Test Level 2: Coded Inequalities

Test Level 2: Coded Inequalities for CAT 2024 is part of Level-wise Tests for CAT preparation. The Test Level 2: Coded Inequalities questions and answers have been prepared according to the CAT exam syllabus.The Test Level 2: Coded Inequalities MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test Level 2: Coded Inequalities below.
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Test Level 2: Coded Inequalities - Question 1
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Directions: In the following question, the symbols @, #, *, ^ and ! are used with the meanings as illustrated. Study the statements carefully and decide which of the given conclusions is/are definitely true according to the statements provided.

'P ! B' means 'P is not smaller than B'.
'P * B' means 'P is neither greater than nor smaller than B'.
'P ^ B' means 'P is not greater than B'.
'P # B' means 'P is neither greater than nor equal to B'.
'P @ B' means 'P is neither smaller than nor equal to B'.

Statements:
M * Q, M ! P, H @ Q
Conclusions:
I. P ^ Q
II. M # H
III. Q * P

Detailed Solution for Test Level 2: Coded Inequalities - Question 1


So, the combined statement is:
P ≤ M = Q < H
Conclusions:
I. P ≤ Q is true
II. M < H is true
III. Q = P is not true
Only I and II are true.

Test Level 2: Coded Inequalities - Question 2
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Directions: In the following question, the symbols @, #, *, ^ and ! are used with the meanings as illustrated. Study the statements carefully and decide which of the given conclusions is/are definitely true according to the statements provided.

'P ! B' means 'P is not smaller than B'.
'P * B' means 'P is neither greater than nor smaller than B'.
'P ^ B' means 'P is not greater than B'.
'P # B' means 'P is neither greater than nor equal to B'.
'P @ B' means 'P is neither smaller than nor equal to B'.

Statements:
N ^ X, A @ S, N ! A
Conclusions:
I. X ^ A
II. S @ N
III. S ^ X

Detailed Solution for Test Level 2: Coded Inequalities - Question 2


The combined statement is:
S < A ≤ N ≤ X
Conclusions:
I. X ≤ A is not true.
II. S > N is not true.
III. S ≤ X is not true.
So, none is true.

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Test Level 2: Coded Inequalities - Question 3
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Directions: In the following question, the symbols @, #, *, ^ and ! are used with the meanings as illustrated. Study the statements carefully and decide which of the given conclusions is/are definitely true according to the statements provided.

'P ! B' means 'P is not smaller than B'.
'P * B' means 'P is neither greater than nor smaller than B'.
'P ^ B' means 'P is not greater than B'.
'P # B' means 'P is neither greater than nor equal to B'.
'P @ B' means 'P is neither smaller than nor equal to B'.

Statements:
F # Q, Q ^ M, F ! T
Conclusions:
I. F # M
II. T ! Q
III. Q @ T

Detailed Solution for Test Level 2: Coded Inequalities - Question 3


The combined statement is:
M ≥ Q > F ≥ T
Conclusions:
I. F < M is true.
II. T ≥ Q is not true.
III. Q > T is true.
So, only I and III are true.

Test Level 2: Coded Inequalities - Question 4
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Directions: In the following question, the symbols @, #, *, ^ and ! are used with the meanings as illustrated. Study the statements carefully and decide which of the given conclusions is/are definitely true according to the statements provided.

'P ! B' means 'P is not smaller than B'.
'P * B' means 'P is neither greater than nor smaller than B'.
'P ^ B' means 'P is not greater than B'.
'P # B' means 'P is neither greater than nor equal to B'.
'P @ B' means 'P is neither smaller than nor equal to B'.

Statements:
Q # S, Y ! S, A ^ Q
Conclusions:
I. A ! S
II. Y @ Q
III. A ^ Y
Detailed Solution for Test Level 2: Coded Inequalities - Question 4


The combined statement is:
A ≤ Q < S ≤ Y
Conclusions:
I. A ≥ S is not true.
II. Y > Q is true.
III. A ≤ Y is not true.
So, only II is true.

Test Level 2: Coded Inequalities - Question 5
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Directions: In the following question, the symbols @, $, *, % and ? are used with the meanings as illustrated. Study the statements carefully and decide which of the given conclusions is/are definitely true according to the statements provided.

'P % B' means 'P is not smaller than B'.
'P ? B' means 'P is neither greater than nor smaller than B'.
'P @ B' means 'P is not greater than B'.
'P * B' means 'P is neither greater than nor equal to B'.
'P $ B' means 'P is neither smaller than nor equal to B'.

Statements:
T $ M, L @ A, M % L
Conclusions:
I. A ? M
II. T $ A
III. T $ L
Detailed Solution for Test Level 2: Coded Inequalities - Question 5


The combined statement is:
A ≥ L ≤ M < T
I. A = M is not true
II. T > A is not true.
III. T > L is true.

Test Level 2: Coded Inequalities - Question 6
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Directions: In this item, the symbols ©,® , $, % and @ are used with the following meanings:
X © Y means X ≥ Y
X ® Y means X < Y
X $ Y means X ≤ Y
X % Y means X = Y
X @ Y means X > Y
Now, assuming the following statements to be true, find which of the given conclusions is/are definitely true.

Statements:
A @ B, B % C, A $ D, D @ E
Conclusions:
I. A © C
II. E @ C
III. E ® B
Detailed Solution for Test Level 2: Coded Inequalities - Question 6

Here, we can summarise the statements as follows:
A @ B means A > B
B % C means B = C
A $ D means A ≤ D
D @ E means D > E
Therefore, we get
E < D ≥ A > B = C
Now, the conclusions can be interpreted as follows:
I. A © C means A ≥ C; which is not true.
II. E @ C means E > C; which is not true.
III. E ® B means E < B; which is not true.
Here, we can see that none is true.

Test Level 2: Coded Inequalities - Question 7
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Directions: In this item, the symbols ©, ®, $, % and @ are used with the following meanings:
X © Y means X ≥ Y
X ® Y means X < Y
X $ Y means X ≤ Y
X % Y means X = Y
X @ Y means X > Y
Now, assuming the following statements to be true, find which of the given conclusions is/are definitely true.

Statements:
A $ C, B © E, A % B, E ® D
Conclusions:
I. C © B
II. B $ D
III. C @ E
IV. A $ E
Detailed Solution for Test Level 2: Coded Inequalities - Question 7

Here, we can summarise the statements as follows:
A $ C means A ≤ C
B © E means B ≥ E
A % B means A = B
E ® D means E < D
Therefore, we get
C ≥ A = B ≥ E < D

Now, the conclusions can be interpreted as follows:
I. C © B means C ≥ B; which is true.
II. B $ D means B ≤ D; which is not true.
III. C @ E means C > E; which is not true.
IV. A $ E means A ≤ E; which is not true.
Here, we can see that only I is true.

Test Level 2: Coded Inequalities - Question 8
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Directions: In this item, the symbols ©,® , $, % and @ are used with the following meanings:
X © Y means X ≥ Y
X ® Y means X < Y
X $ Y means X ≤ Y
X % Y means X = Y
X @ Y means X > Y
Now, assuming the following statements to be true, find which of the given conclusions is/are definitely true.

Statements:
A % B, C @ E, D ® A, C $ B
Conclusions:
I. A % E
II. C @ D
III. D @ E
Detailed Solution for Test Level 2: Coded Inequalities - Question 8

Here, we can summarise the statements as follows:
A % B means A = B
C @ E means C > E
D ® A means D < A
C $ B means C ≤ B
Therefore, we get
D < A = B ≥ C > E
Now, the conclusions can be interpreted as follows:
I. A % E means A = E; which is not true.
II. C @ D means C > D; which is not true.
III. D @ E means D > E; which is not true.
Here, we can see that none is true.

Test Level 2: Coded Inequalities - Question 9
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Directions: In this item, the symbols ©, ®, $, % and @ are used with the following meanings:
X © Y means X ≥ Y
X ® Y means X < Y
X $ Y means X ≤ Y
X % Y means X = Y
X @ Y means X > Y
Now, assuming the following statements to be true, find which of the given conclusions is/are definitely true.

Statements:
A @ B, E $ B, C @ D, E % D
Conclusions:
I. A @ E
II. C © E
III. A ® C
Detailed Solution for Test Level 2: Coded Inequalities - Question 9

Here, we can summarise the statements as follows:
A @ B means A > B
E $ B means E ≤ B
C @ D means C > D
E % D means E = D
Therefore, we get
A > B ≥ E = D < C
Now, the conclusions can be interpreted as follows:
I. A @ E means A > E; which is true.
II. C © E means C ≥ E; which is not true as C > E.
III. A ® C means A < C; which is not true as relation cannot be established between A and C.
Here, we can see that only I is true.

Test Level 2: Coded Inequalities - Question 10
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Directions: In this item, the symbols ©, ®, $, % and @ are used with the following meanings:
X © Y means X ≥ Y
X ® Y means X < Y
X $ Y means X ≤ Y
X % Y means X = Y
X @ Y means X > Y
Now, assuming the following statements to be true, find which of the given conclusions is/are definitely true.

Statements:
A $ E, B ® D, C @ E, D % A
Conclusions:
I. B ® A
II. A $ C
III. D $ E
Detailed Solution for Test Level 2: Coded Inequalities - Question 10

Here, we can summarise the statements as follows:
A $ E means A ≤ E
B ® D means B < D
C @ E means C > E
D % A means D = A
Therefore, we get
B < D = A ≤ E < C
Now, the conclusions can be interpreted as follows:
I. B ® A means B < A; which is true.
II. A $ C means A ≤ C; which is not true as A < C.
III. D $ E means D ≤ E; which is true.
Here, we can see that only I and III are true.

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