Reasoning Quiz Inequality for SBI, IBPS and UIICL Exams

Reasoning Quiz Inequality for SBI, IBPS and UIICL Exams

Reasoning Quiz



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 )


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