**Reasoning Quiz Inequality**

**for**

**SBI, IBPS and UIICL Exams**

**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 )