Inequalities Quiz Set 015 | Reasoning quiz on Mathematical Inequalities Set 15 | 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 ≤ Y
∅ means X ≮ (not less than) Y
Ξ means X < Y
% means X > Y

Statements: M Ξ N; N ∧ O; O ∧ P;

Conclusions:

M Ξ P
N ∧ P

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 M < N = O = P. Conclusion I translates to M < P. Conclusion II translates to N = P. 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
∏ means X ≮ (not less than) Y
µ means X < Y
⊗ means X > Y

Statements: M $ N; N ⊗ O; O µ P;

Conclusions:

M ⊗ O
O µ P

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 M = N > O < P. Conclusion I translates to M > O. Conclusion II translates to O < P. 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.

Γ means X = Y
∅ means X ≯ (not more than) Y
η means X ≥ Y
Ω means X < Y
% means X > Y

Statements: M % N; N Γ O; O η P;

Conclusions:

N % P
N Γ P

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 M > N = O ≥ P. Conclusion I translates to N > P. Conclusion II translates to N = P. 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 4

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

@ means X = Y
ρ means X ≯ (not more than) Y
¥ means X ≥ Y
∑ means X < Y
ω means X > Y

Statements: M ω N; N ∑ O; O ρ P;

Conclusions:

M ∑ P
N ω P

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 M > N < O ≤ P. Conclusion I translates to M < P. Conclusion II translates to N > P. 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
® means X ≤ Y
Θ means X ≮ (not less than) Y
@ means X < Y
¢ means X > Y

Statements: R £ S; S ¢ T; T £ U;

Conclusions:

R ¢ T
U @ S

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 R = S > T = U. Conclusion I translates to R > T. Conclusion II translates to U < S. 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»