Reasoning: Inequalities Set 5

1. Which of the following expressions is true, if P > G and F < H are definitely true?
   A) Q < P ≥ B > D > F = G < H
   B) B ≤ Q < H < D > P > F > G
   C) Q ≤ H ≥ B ≥ D < G ≥ P > F
   D) D ≤ G > P ≥ F > H ≤ Q ≤ B
   E) H ≥ Q > D ≥ B ≥ P = G > F
   
   View Answer

   Option A
   
2. Which of the following is definitely true if P ≤ V < S = G ≥ Q ≥ R > E
   A) Q > P
   B) S > R
   C) V > R
   D) S > E
   E) P < R
   
   View Answer

   Option D
   
3. Which of the following should replace the question mark so that E > D is definitely true?
   C = B > A ≥ D ≤ G ? F ≤ E
   A) =
   B) >
   C) ≤
   D) <
   E) ≥
   
   View Answer

   Option D
   
4. Which of the following order of letters in the blanks makes the expression D > E is definitely true?
   ___ < ___ ≤ ___ = ___ > ____
   A) B, C, D, E, A
   B) A, B, C, E, D
   C) D, B, A, C, E
   D) E, C, A, B, D
   E) C, A, D, B, E
   
   View Answer

   Option E
   
5. What will come in place of question mark in following below such that both E < B and D ≥ G are definitely true? A > B = C > D ? E ≥ F = G
   A) ≤
   B) ≥
   C) =
   D) >
   E) Both B and C
   
   View Answer

   Option E
   

Directions (6-10): In the following questions, the symbols * , $, #, δ and % are used with the following meaning as illustrated below:
‘P $ Q’ means ‘P is neither greater than nor smaller than Q’.
‘P δ Q’ means ‘P is neither greater than nor equal to Q’.
‘P % Q’ means ‘P is neither smaller than nor equal to Q’.
‘P*Q’ means ‘P is not smaller than Q’.
‘P # Q’ means ‘P is not greater than Q’.
Now in each of the following question assuming the given statements to be true, find which of the conclusions I, II, III and IV given below them is/are definitely true and give your answer accordingly.

6. Statements: A * P, P % E, E δ F, F # S
   Conclusions:
   I. S % E
   II. A % E
   III.F % P
   A) Only I and III are true
   B) Only II is true
   C) Only I and II are true
   D) Only II and III are true
   E) None of these
   
   View Answer

   Option C
   A ≥ P > E < F ≤ S
7. Statements: P δ W, W $ Q, Q % S, S * A
   Conclusions:
   I. A δ Q
   II. Q % P
   III. W % A
   A) Only I is true
   B) Only I and III are true
   C) Only I and II are true
   D) All I, II and III are true
   E) None of these
   
   View Answer

   Option D
   P < W = Q > S ≥ A
8. Statements: L % N, N # T, T $ D, D δ A
   Conclusions:
   I. L % A
   II. L # A
   III. A % N
   A) Only either I or II and III are true
   B) Only I is true
   C) Only either I or II is true
   D) Only III is true
   E) None of these
   
   View Answer

   Option A
   L > N ≤ T = D < A No relation between L and A, so L > A or L ≤ A
9. Statements: M # Q, Q $ K, A % K, V * A
   Conclusions:
   I. K * M
   II. A % Q
   III. A % M
   A) None is true
   B) Only I and II are true
   C) Only I and III are true
   D) Only II and III are true
   E) All I, II and III are true
   
   View Answer

   Option E
   M ≤ Q = K < A ≤ V
10. Statements: E $ C, C δ A, A * R, R # S
    Conclusions:
    I. S % A
    II. R δ C
    III. R # E
    A) None is true
    B) Only I and II true
    C) Only II is true
    D) Only III is true
    E) All I, II and III are true
    
    View Answer

    Option A
    E = C < A ≥ R ≤ S