Inequalities Quiz Set 040 | Reasoning quiz on Mathematical Inequalities Set 40 | 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 ≯ (not more than) Y
$ means X ≮ (not less than) Y
η means X < Y
Δ means X > Y

Statements: D Δ E; E Δ F; F ® G;

Conclusions:

D Δ G
D Δ 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 D > E > F = G. Conclusion I translates to D > G. 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 2

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

∃ means X = Y
∧ means X ≤ Y
ρ means X ≥ Y
@ means X < Y
Γ means X > Y

Statements: B ∃ C; C ∃ D; D ρ E;

Conclusions:

B ∃ E
C Γ 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 B = E. Conclusion II translates to C > 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»

Question 3

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

Ω means X = Y
∩ means X ≤ Y
Ξ means X ≥ Y
√ means X < Y
∃ means X > Y

Statements: J ∃ K; K √ L; L Ω M; M √ N;

Conclusions:

K √ M
L √ J
M √ J

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 J > K < L = M < N.

The conclusions translate to:

K < M(True)
L < J(False)
M < J(False)

Solution | Discuss! | Chapters»

Question 4

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

§ means X = Y
ω means X ≤ Y
ρ means X ≮ (not less than) Y
λ means X < Y
Γ means X > Y

Statements: H ω I; I Γ J; J λ K;

Conclusions:

J λ K
J λ H

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 H ≤ I > J < K. Conclusion I translates to J < K. Conclusion II translates to J < H. 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 5

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

⊕ means X = Y
« means X ≤ Y
∧ means X ≮ (not less than) Y
Γ means X < Y
∏ means X > Y

Statements: Q ∧ R; R ∏ S; S ⊕ T;

Conclusions:

Q Γ T
R ⊕ 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: a

The statements can be translated to Q ≥ R > S = T. Conclusion I translates to Q < T. Conclusion II translates to R = T. 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»