Inequalities Quiz Set 032 | Reasoning quiz on Mathematical Inequalities Set 32 | 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.

λ means X = Y
ρ means X ≤ Y
∀ means X ≥ Y
Θ means X < Y
⊕ means X > Y

Statements: P Θ Q; Q λ R; R ⊕ S; S λ T;

Conclusions:

T ⊕ R
T ⊕ P
Q ⊕ T

Which of the above conclusions is/are true?

III only.

both III and II.

II only.

I only.

Soln.
Ans: a

The statements can be translated to P < Q = R > S = T.

The conclusions translate to:

T > R(False)
T > P(False)
Q > T(True)

Solution | Discuss! | Chapters»

Question 2

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

ω means X = Y
Δ means X ≤ Y
@ means X ≮ (not less than) Y
∅ means X < Y
Ω means X > Y

Statements: K Ω L; L Ω M; M @ N;

Conclusions:

M Ω N
M ω 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: d

The statements can be translated to K > L > M ≥ N. Conclusion I translates to M > N. Conclusion II translates to M = N. 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 3

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

$ means X = Y
¢ means X ≤ Y
∩ means X ≥ Y
« means X < Y
@ means X > Y

Statements: D « E; E « F; F $ G; G $ H;

Conclusions:

H @ D
D « G
E « H

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 D < E < F = G = H.

The conclusions translate to:

H > D(True)
D < G(True)
E < H(True)

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 ≮ (not less than) Y
© means X < Y
∩ means X > Y

Statements: D ∩ E; E © F; F ∂ G;

Conclusions:

D © G
E ∩ G

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

η means X = Y
Ω means X ≤ Y
¢ means X ≥ Y
∩ means X < Y
ω means X > Y

Statements: T ω U; U ω V; V ∩ W;

Conclusions:

T ∩ V
U ω 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: c

The statements can be translated to T > U > V < W. Conclusion I translates to T < V. Conclusion II translates to U > W. 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»