Inequalities Quiz Set 011 | Reasoning quiz on Mathematical Inequalities Set 11 | reasoning sample questions for Bank PO, SSB/SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

**Your Score**
Correct Answers:
Wrong Answers:
Unattempted:

Question 1

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

¢ means X = Y
∅ means X ≤ Y
Γ means X ≮ (not less than) Y
@ means X < Y
⊗ means X > Y

Statements: R ¢ S; S ⊗ T; T ⊗ U;

Conclusions:

S ¢ U
R ⊗ U

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 R = S > T > U. Conclusion I translates to S = U. Conclusion II translates to R > U. 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
µ means X ≤ Y
Δ means X ≮ (not less than) Y
§ means X < Y
√ means X > Y

Statements: B % C; C % D; D § E;

Conclusions:

B § E
C √ 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: c

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 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.

ω means X = Y
Ξ means X ≯ (not more than) Y
⊕ means X ≮ (not less than) Y
® means X < Y
λ means X > Y

Statements: O ⊕ P; P ω Q; Q λ R;

Conclusions:

Q ω R
O λ R

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 O ≥ P = Q > R. Conclusion I translates to Q = R. Conclusion II translates to O > R. 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 4

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

ω means X = Y
Ξ means X ≯ (not more than) Y
⊗ means X ≥ Y
£ means X < Y
∃ means X > Y

Statements: B £ C; C ∃ D; D ω E;

Conclusions:

C ∃ E
D £ C

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 C > E. Conclusion II translates to D < C. 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 5

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

µ means X = Y
® means X ≯ (not more than) Y
Γ means X ≥ Y
Θ means X < Y
$ means X > Y

Statements: Q Θ R; R Θ S; S ® T;

Conclusions:

Q $ T
S Θ Q

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 Q > T. Conclusion II translates to S < Q. 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»