Inequalities Quiz Set 043 | Reasoning quiz on Mathematical Inequalities Set 43 | 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 ≥ Y
Γ means X < Y
⊕ means X > Y

Statements: Q Γ R; R Γ S; S Γ T;

Conclusions:

Q Γ S
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: c

The statements can be translated to Q < R < S < T. Conclusion I translates to Q < S. Conclusion II translates to R ≥ T. 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 2

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: B $ C; C ⊕ D; D ¢ E;

Conclusions:

B ⊕ E
D ¥ B

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 B ≤ C < D = E. Conclusion I translates to B < E. Conclusion II translates to D > B. 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 ≤ Y
£ means X ≥ Y
⊗ means X < Y
@ means X > Y

Statements: O ∑ P; P ⊗ Q; Q ∑ R; R ∑ S;

Conclusions:

P ⊗ R
O @ Q
O ⊗ S

Which of the above conclusions is/are true?

both I and III.

I only.

II only.

III only.

Soln.
Ans: a

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

The conclusions translate to:

P < R(True)
O > Q(False)
O < S(True)

Solution | Discuss! | Chapters»

Question 4

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

ρ means X = Y
@ means X ≯ (not more than) Y
Ω means X ≮ (not less than) Y
⊕ means X < Y
∀ means X > Y

Statements: C Ω D; D ∀ E; E Ω F;

Conclusions:

D ⊕ C
C ρ 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: d

The statements can be translated to C ≥ D > E ≥ F. Conclusion I translates to D < C. Conclusion II translates to C = D. 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 5

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

√ means X = Y
® means X ≤ Y
∧ means X ≥ Y
¢ means X < Y
µ means X > Y

Statements: I ¢ J; J µ K; K µ L;

Conclusions:

I ¢ L
J µ L

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 I < J > K > L. Conclusion I translates to I < L. Conclusion II translates to J > L. 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»