Reasoning: Inequalities Questions for IBPS PO Prelims

   
Direction (1-5): Relationship between different elements is shown in the statements. Find if the conclusions also follow or not.

1. Statements: A > B ≥ F = P < L < G;  F = E > M ≥ S;  M ≤ D = U
   Conclusions:
   I. A > M
   II. D < L
   A) only I follows
   B) only II follows
   C) either I or II follows  
   D) neither I nor II follow
   E) both I and II follow
   
   View Answer

   Option A
2. Statements: L < G ≤ D > P = E > R;  S > D < W = J; M ≥ K ≥ Y > J
   Conclusions:
   I. R < S
   II. M > E
   A) only I follows   
   B) only II follows
   C) either I or II follows
   D) neither I nor II follow
   E) both I and II follow
   
   View Answer

   Option E
   
3. Statements: P ≤ D = O < M ≤ B;  L ≥ S = E ≥ P; M ≤ L ≥ C = R
   Conclusions:
   I. D ≥ L
   II. L > D
   A) only I follows
   B) only II follows
   C) either I or II follows
   D) neither I nor II follow
   E) both I and II follow
   
   View Answer

   Option B
   Solution:
   For conclusion II:: from 1st and 2nd expression –  L ≥ P ≤ D – so there can be any relation between L and D
   Now from 1st and 3rd expressions – L ≥ M > O = D, so L > D – This confirms L > D
4. Statements: K = F > S < V ≤ E;  N = P < V ≤ M = Q;  G > N ≥ X = B
   Conclusions:
   I. E ≥ B
   II. E < B
   A) only I follows
   B) only II follows
   C) either I or II follows
   D) neither I nor II follow
   E) both I and II follow    
   
   View Answer

   Option D
   Solution:
   From 1st and 2nd expressions – E ≥ V > P = N ≥ X = B, so definitely E > B is true, so makes both conclusions false.
5. Statements: A = S > D ≥ F < G; D < H ≤ P > K; R > L = P ≥ U
   Conclusions:
   I. A > L
   II. L < S
   A) only I follows
   B) only II follows     
   C) either I or II follows
   D) neither I nor II follow
   E) both I and II follow
   
   View Answer

   Option D
   

6. Which of the following symbols should be placed in the blank spaces respectively (in the same order from left to right) in order to complete the given expression in such a manner that both ‘M > F’ as well as ‘S ≥ J’ definitely true?
   M _ N _ J _ F _ C _ S
   A) ≥, >, =, ≤, <
   B) ≥, ≥, =, ≤, ≤
   C) ≥, >, >, ≤, ≤
   D) ≥, >, =, ≤, ≤
   E) ≥, >, <, ≤, ≤
   
   View Answer

   Option D
   Solution:
   M ≥ N > J = F ≤ C ≤ S
7. In which of the following expressions does the expression ‘N < H’ and ‘F > G’ definitely hold true?
   A) P = N < F ≥ H = K > G > D
   B) D > A ≤ G ≥ N = F ≤ G < H
   C) W < O > G < H = F ≥ S > N
   D) S ≤ G < N = A ≤ F ≤ X ≤ H
   E) G ≥ H ≥ F = A ≥ N = K < G
   
   View Answer

   Option C
    
8. Which of the following symbols should replace the questions mark (?) in the given expression in order to make the expression ‘J < N’ definitely true? B > M > J ≤ G = Y ? L = N < S
   A) >
   B) <
   C) ≤
   D) =
   E) Either < or ≤
   
   View Answer

   Option B
   
9. In which of these expression ‘A < P’ is definitely false?
   A) W < P ≥ S ≥ Q = N> A ≥ R > V
   B) N > A > M = D ≥ B < L < P = R
   C) M ≤ A > L > W ≥ V ≤ B = P < S
   D) S > A > = C ≤ H = P ≤ Q = T = K
   E) B > L ≤ A > M ≥ Q = T > P < G
   
   View Answer

   Option E
   Solution:
   In E) – A > P , so A < P is definitely false.
   In B, C, and D option, no relation can be determined between A and P, so cannot be identified as definite false.
10. Which of the following expressions is definitely false if the expression E > O = G ≤ K > F = W > Q < T is definitely true?
    A) O > F
    B) Q < G
    C) Q ≥ K
    D) T > F
    E) F < E
    
    View Answer

    Option C
    Solution:
    Q < K in given expression, so Q ≥ K is definitely false

Click here for more practice questions on Inequalities