Inequalities Quiz Set 041 | Reasoning quiz on Mathematical Inequalities Set 41 | 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.

η means X = Y
ω means X ≤ Y
Ω means X ≥ Y
% means X < Y
∧ means X > Y

Statements: A ∧ B; B η C; C ∧ D; D η E;

Conclusions:

C ∧ E
E % A
A ∧ C

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 A > B = C > D = E.

The conclusions translate to:

C > E(True)
E < A(True)
A > C(True)

Solution | Discuss! | Chapters»

Question 2

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

@ means X = Y
∑ means X ≤ Y
ω means X ≥ Y
§ means X < Y
® means X > Y

Statements: J § K; K @ L; L § M;

Conclusions:

J § L
K ω M

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 J < K = L < M. Conclusion I translates to J < L. Conclusion II translates to K ≥ M. 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»

Question 3

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

© means X = Y
∅ means X ≯ (not more than) Y
⊕ means X ≮ (not less than) Y
∀ means X < Y
§ means X > Y

Statements: D ∅ E; E © F; F § G;

Conclusions:

D © G
D ∀ F

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 D ≤ E = F > G. Conclusion I translates to D = G. Conclusion II translates to D < F. 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 4

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

Ω means X = Y
∑ means X ≯ (not more than) Y
⊕ means X ≮ (not less than) Y
∇ means X < Y
Δ means X > Y

Statements: F Ω G; G Δ H; H ∑ I;

Conclusions:

F Δ I
H ∇ F

both I and II are true.

only conclusion II is true.

only conclusion I is true.

neither I nor II is true.

Soln.
Ans: d

The statements can be translated to F = G > H ≤ I. Conclusion I translates to F > I. Conclusion II translates to H < F. So we can see that neither I nor 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
Γ means X ≯ (not more than) Y
⊗ means X ≥ Y
∧ means X < Y
η means X > Y

Statements: B ∧ C; C ∧ D; D ⊗ E;

Conclusions:

D η E
D « E

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 B < C < D ≥ E. Conclusion I translates to D > E. Conclusion II translates to D = E. 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»