IBPS Clerk 2015- Practice Reasoning Questions ( Inequality-19 questions)

Dear IBPS Clerk 2015 Aspirants practice Reasoning questions set of 19 questions of Inequality for upcoming IBPS Clerk Exam. Try to solve these Inequality and share time taken to solve these questions.



In Reasoning section for IBPS Clerk 2015- Puzzles, syllogism, inequality play important role in preliminary exam. In next post we will provide Coding-Decoding practice set.


Directions (1 – 5): In these questions symbols @, $, #, &, % are used with different meanings as follows.
P @ Q  means P is smaller than Q
P # Q   means P is either Smaller than or equal to Q
P $ Q   means P is greater than Q
P % Q  means P is either greater than or equal to Q
P & Q  means P is neither greater than nor smaller than Q
In each of the following questions assuming the given statements to be true, find out which of the two conclusions I and II given below them is /are definitely true.
Give answer (1) if only conclusion I is true.
Give answer (2) if only conclusion II is true.
Give answer (3) if either conclusion I or II is true.
Give answer (4) if neither conclusion I nor II is true.
Give answer (5) if both conclusions I and II is true

1 statements: H # Q,   Q @ F,  L $ F
Conclusions: I. L $ H
II. H # F

2 statements: J $ T,   T @ V,  V # M
Conclusions: I. T # M
II. J % M

3. statements: U # D,   D @ R,  R % T
Conclusions: I. U @ R
II. T $ D

4. statements: M & L,   L $ K,  K @ R
Conclusions: I. M & R
II. M @ R

5. statements: J @ N,   N % W,  W $ V
Conclusions: I. J % V
II. J @ W


Directions (Qs. 6 to 11) : In the following questions, the symbols ©, @, $, %  and * are used with following meanings as illustrated below
‘P @Q’ means ‘P is not greater than Q’.
‘P % Q’ means ‘P is not smaller than Q’.
‘P * Q’ means ‘P is neither smaller than nor equal to Q’.
‘P © Q’ means ‘P is neither greater than nor equal to Q’.
‘P $ Q’ means ‘P is neither greater than nor smaller than Q’.
In each question four statements showing relationship have been given, which are followed by four conclusions I, II, III & IV. Assuming that the given statements are true, find out which conclusion(s) is /are  definitely True.

6.Statements
M © D, D * K, K @ R , R * F
Conclusions
I.  F©K
II. D * F
III.M © R
IV  D * R
(1)None is true
(2)Only I is true
(3)Only II is true
(4)Only III is true
(5)Only IV is true

7.Statements
B%K, K$ T, T* F ,H© F
Conclusions
I.  B$T
II. T©B
III.H © K
IV. F © B
(1)Only either I or II is true
(2)Only III is true
(3)Only IV is true
(4)either I or II are true and  III and IV are true
(5)Only either I or II are true

8.Statement
W * B, B@ F, F © R, R $ M
Conclusions
I W*F
II.M * B
III.R * B
IV. M* W
(1) Only and IV  are true
(2)Only II and III are true
(3)Only I and III are true
(4)Only II and IV are true
(5)None of these

9.Statements
E@ K, K $ T’, T © N,.B %  N
Conclusions
I.  T%E
II. K©N
III.B * T
IV. B * E
(I)Only I, II and III are true
(2)Only II, III and IV are true
(3)Only I, III and IV are true
(4)All are true
(5)None of these

10.Statements -
Z $ B, B % M, M © F, F @ R
Conclusions
I. Z*M
II. F * B
III R*M
IV. M @ Z
(1)Only I and II  are true
(2)Only I, III and IV are true
(3)Only III and IV are true
(4)Only either I or IV and III are true
(5)None of these

11.Statements
H@T,T $ N, F © N, B%F
Conclusions
I. F@H
II. F©T
III. B * T
IV. B % H
(1)None is true
(2)Only I is true
(3)Only II is true
(4)Only III and IV are true
(5)Only II and III are true

In the following questions(12-15), the symbol  × , ∂ , % ,   © , @ , are used with the following illustrations.

 P % Q means P is not smaller than Q
 P © Q means P is neither smaller than nor equal to Q
 P x Q means P is neither greater than nor equal to Q
 P ∂ Q means P is not greater than Q
 P @ Q means P is neither greater than nor smaller than Q


12. Statement – R ∂ K ; K x M ; M @ J
Conclusions -:
I.     J ©  K
II.   M © R
III.  R  X J
A. Only  I & I are true
B. Only II & III are true
C. Only I & III are true.
D. All I, II & III are true
E. None of these

13.    Statements –  Z @ M ; M © K ; K X F
Conclusions - :
I.     F © Z
II.   K X Z
III.  F © M
A. None is true
B. Only I is true
C. Only II is true
D. Only III is true
E. Only II & III are true.

14. Statements – V % H ; H @ F ; F ∂ E
Conclusions :-
I.     F @ V
II.   F X V
III.  E % H
A. Only either I or II is true
B. Only III is true
C. Only I & II are true
D. All I, II & III are true.
E. Only either I or II and three are true.

15.  Statements – W ©  T ; T ∂ N ; N % D
 Conclusions :-
I.     D X T
II.   W © N
III.  D @ T
A. None in True
B. Only I is true
C. Only II is true
D. Only III is true
E. Only I & II are true

In the following questions(16-19), the Symbols @, ©, $ , % and # are used with the following meanings as illustrated below.

'A $ B' means 'A is not smaller than B'.
'A # B' means 'A is not greater then B'.
'A @ B' means 'A is neither smaller than nor equal to B'.
'A © B' means 'A is neither smaller than nor greater than B'.
'A % B' means 'A is neither greater than nor equal to B'.

In each of the following question assuming the given statements to be true, find out which of the two conclusions I and I I given below these are definitily true.

16.Statements: H % J, J © N, N @ R
Conclusions:
I. R % J
II. H @ J
III. N @ H
A. Only II is true
B. Only I and III are true
C. Only I is true
D. Only III is true
E. None of these

 17. Statements: M @ J, J $ T, T © N
 Conclusions:
I. N # J
II. T %M
III. M @ N
A. Only I and II are true
B. Only II and III are true
C. Only I and III are true
D. None of true
E. All are true

18.Statements: D © K, K # F, F @ P
Conclusions:
 I. P @ D
 II. K # P
III. F $ D
A. Only II is true
B. Only I and II are true
C. Only III is true
D. Only II and III are true
E. None of these

19.Statements: K # N, N $ T, T % J
 Conclusions:
 I. J @ N
 II. K @ T
 III. T @ K
A. Only I and II are true
B. Only II and III is true
C. Only I and III are true
D. None is true
E. None of these



1. 1
2. 4
3. 1
4. 4
5. 4
6.(1)
(i)M < D (ii) D > K      (iii) K ≤ R    (iv) R > F
These relationships can’t be of any help. none of the quantities can be compared on their basis.
7.(4)
8.(2)
9.(4)
10.(3)
11.(3)

P % Q means P is not smaller than Q -----------------  [ P≥ Q ]
P © Q means P is neither smaller than nor equal to Q ---  [ P > Q]
P x Q means P is neither greater than nor equal to Q --------- [ P < Q ]
P ∂ Q means P is not greater than Q ---------- [  P ≤  Q  ]
P @ Q means P is neither greater than nor smaller than Q------- [ P=Q ]

 12. (D) Statement – R ∂ K ; K x M ; M @ J
                    R ≤ K < M = J
Conclusions -:
I.     J ©  K -------    [  J > K ]
II.   M © R ----    [  M > R ]
III.  R  X J  ------    [  R < J  ]
Clearly All the conclusions are true

 13 -(C) Statements –  Z @ M ; M © K ; K X F
                                 Z = M  > K  < F
Conclusions - :
I.     F © Z ----------  [ F > Z ] cannot be said.
II.   K X Z ---------   [ K < Z ] Surely it is
III.  F © M --------    [ F > M ] cannot be said
So Only II is correct.

14- (E)Statements – V % H ; H @ F ; F ∂ E
                               V ≥ H = F ≤ E
Conclusions :-
I.     F @ V ----    [ F=V ] not sure may nor may not be
II.   F X V ---------   [ F < V ] Not sure may or may not be
III.  E % H ------- [ E ≥ H ] Surely.
But here F= H & H ≤ V so indirectly F≤V so either F= V or F < V but not both at a time, but atleast one has to hold. So either I or II should be there and III is always right. So answer is either I or II  & III are correct.

 15 -(A) Statements – W ©  T ; T ∂ N ; N % D
       Means – W > T
                  N ≥ T
                  N ≥ D
Conclusions :-
I.     D X T  -----  [ D < T ] cannot be said. No idea of relation between them
II.   W © N -- [ W > N ] cannot be said
III.  D @ T -- [ D = T ]  cannot be said.
So here None is true.

16-19
A $ B means A not a lessthan B Therefore, A = B
A # B means A not a greater than B Therefore, A = B
A @ B means A not a lessthan B and A ? B Therefore, A = B
A © B means A not a lessthan B and A !> B Therefore, A = B
A % B means A not a greater than B and A ? B Therefore, A < B

16.(B)  H % J  = H < J
    J © N  = J = N
   N @ R  = N > R
   Therefore, H < J = N > R

Conclusions:
I. R % J  = R < J ( True )
II. H @ J  =H > J ( Not true)
III. N @ J   =N > H (True)

17.(E)
M % J  = M  > J
J $ T  = J = T
T © N  =T = N
Therefore, M > J = T = N

Conclusions:
I. N # J  = N = J ( true )
II. T % M  = T < M ( true)
III. M @ N  =M > N ( true)

18.(C)
D © K -> D = K
K # F -> K = F
F @ P -> F > P
Therefore, D = K = F > P

Conclusions:
I. P @ D -> P > D ( Not true )
II. K # P -> K = P ( Not true )
III.F $ D -> F = D ( True )

19. (D)
K # N -> K = N
N $ T -> N = T
T % J -> T > J
Therefore, K = N = T > J
Conclusions:
I. J @ N -> J > N ( Not true )
II. K @ T -> K > T ( Not true )
III.T @ K -> T > K ( Not true )