Inequalities Quiz Set 007 | Reasoning quiz on Mathematical Inequalities Set 7 | reasoning sample questions for Bank PO, SSB/SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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Question 1

In a certain language different symbols represent different operators as follows.

¥ means X = Y
∧ means X ≤ Y
Ξ means X ≥ Y
∃ means X < Y
⊗ means X > Y

Statements: B ∃ C; C ∃ D; D ⊗ E; E ∃ F;

Conclusions:

D ⊗ B
E ⊗ C
D ⊗ F

Which of the above conclusions is/are true?

I only.

both I and II.

II only.

III only.

Soln.
Ans: a

The statements can be translated to B < C < D > E < F.

The conclusions translate to:

D > B(True)
E > C(False)
D > F(False)

Solution | Discuss! | Chapters»

Question 2

In a certain language different symbols represent different operators as follows.

Ω means X = Y
@ means X ≤ Y
$ means X ≥ Y
∑ means X < Y
∀ means X > Y

Statements: T ∀ U; U Ω V; V Ω W; W Ω X;

Conclusions:

T ∀ X
U Ω X
T ∀ V

Which of the above conclusions is/are true?

All.

both I and II.

II only.

both II and III.

Soln.
Ans: a

The statements can be translated to T > U = V = W = X.

The conclusions translate to:

T > X(True)
U = X(True)
T > V(True)

Solution | Discuss! | Chapters»

Question 3

In a certain language different symbols represent different operators as follows.

Θ means X = Y
√ means X ≯ (not more than) Y
@ means X ≥ Y
∧ means X < Y
§ means X > Y

Statements: Q ∧ R; R ∧ S; S @ T;

Conclusions:

S § T
S Θ T

both I and II are true.

only conclusion II is true.

only conclusion I is true.

either I or II can be true.

Soln.
Ans: d

The statements can be translated to Q < R < S ≥ T. Conclusion I translates to S > T. Conclusion II translates to S = T. So we can see that either I or II can be true.

Please remember that in such questions ≯ (not more than) is same as ≤, and ≮ (not less than) is same as ≥.

Solution | Discuss! | Chapters»

Question 4

In a certain language different symbols represent different operators as follows.

√ means X = Y
≅ means X ≯ (not more than) Y
$ means X ≥ Y
∅ means X < Y
∃ means X > Y

Statements: M ≅ N; N ∃ O; O ∃ P;

Conclusions:

M √ P
N ∃ P

both I and II are true.

only conclusion II is true.

only conclusion I is true.

either I or II can be true.

Soln.
Ans: b

The statements can be translated to M ≤ N > O > P. Conclusion I translates to M = P. Conclusion II translates to N > P. So we can see that only conclusion II is true.

Please remember that in such questions ≯ (not more than) is same as ≤, and ≮ (not less than) is same as ≥.

Solution | Discuss! | Chapters»

Question 5

In a certain language different symbols represent different operators as follows.

≅ means X = Y
∂ means X ≤ Y
® means X ≮ (not less than) Y
∃ means X < Y
£ means X > Y

Statements: K £ L; L £ M; M ∃ N;

Conclusions:

K ∃ M
L £ N

both I and II are true.

only conclusion II is true.

only conclusion I is true.

either I or II can be true.

Soln.
Ans: c

The statements can be translated to K > L > M < N. Conclusion I translates to K < M. Conclusion II translates to L > N. So we can see that only conclusion I is true.

Please remember that in such questions ≯ (not more than) is same as ≤, and ≮ (not less than) is same as ≥.

Solution | Discuss! | Chapters»