Inequalities Quiz Set 019 | Reasoning quiz on Mathematical Inequalities Set 19 | 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
£ means X ≤ Y
Θ means X ≮ (not less than) Y
∩ means X < Y
∇ means X > Y

Statements: B £ C; C η D; D ∇ E;

Conclusions:

B η E
B ∩ D

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 B ≤ C = D > E. Conclusion I translates to B = E. Conclusion II translates to B < D. 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 2

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

∏ means X = Y
∩ means X ≤ Y
¢ means X ≥ Y
∅ means X < Y
ω means X > Y

Statements: C ω D; D ∏ E; E ∏ F;

Conclusions:

C ω F
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: a

The statements can be translated to C > D = E = F. Conclusion I translates to C > F. Conclusion II translates to D = F. So we can see that both I and II are 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
Γ means X ≥ Y
⊕ means X < Y
∑ means X > Y

Statements: G ∑ H; H ⊕ I; I ⊕ J;

Conclusions:

H ⊕ J
H Γ J

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 G > H < I < J. Conclusion I translates to H < J. Conclusion II translates to H ≥ J. 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 4

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

® means X = Y
Ξ means X ≤ Y
⊕ means X ≮ (not less than) Y
Θ means X < Y
⊗ means X > Y

Statements: Q ⊕ R; R Θ S; S Ξ T;

Conclusions:

R ⊗ T
Q ⊗ T

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 Q ≥ R < S ≤ T. Conclusion I translates to R > T. Conclusion II translates to Q > T. 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.

Δ means X = Y
∂ means X ≤ Y
§ means X ≥ Y
¢ means X < Y
λ means X > Y

Statements: T λ U; U λ V; V § W;

Conclusions:

V λ W
V Δ W

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 T > U > V ≥ W. Conclusion I translates to V > W. Conclusion II translates to V = W. 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»