Mathematical Operations / Inequalities – Set 21

D.1-5) In the following Questions @, #, %, * and $ are used according to following Meanings :

‘A @ B’ means, ‘A is not smaller than B’

‘A # B’ means, ‘A is not greater than B’

‘A % B’ means, ‘A is neither greater nor equal to B’

‘A * B’ means, ‘A is neither smaller nor greater than B’

‘A $ B’ means, ‘A is neither smaller nor equal to B’

Now from the following statements, check whether the following conclusions I,II and III are definitely true.

1) Statements:

B#N, C@N, T$C

Conclusions:

I.B%T

II. T$N

III. N@B

(a) None is true

(b) I and II are true

(c) II and III are true

(d) All are true

(e) I and III are true

2) Statements:

J@M, A$M, T#J

Conclusions:

I. T#A

II. J@A

III. T$M

(a) Only I is true

(b) Only II is true

(c) Only III is true

(d) None is true

(e) All are true

3) Statements:

F$K, K#D, D*H

Conclusions:

I. H*k

II. H%F

III. H $ k

(a) All are true

(b) Either I or II are true

(c) Either I or III are true

(d) Either II or III are true

(e) None of these

4) Statements:

X*D, D@Y, Y%Z

Conclusions:

I.X*Z

II.X $ Z

III. D $ Z

(a) Only I is true

(b) None is true

(c) Only III is true

(d) Only II is true

(e) All are true

5) Statements:

U%R, R#V, V*M

Conclusions:

I.M*R

II.M$R

III. M$U

(a) All are true

(b) Either I or II are true

(c) Either I or II and III are true

(d) Either I or III and II are true

(e) None of these

D.6-10) : Study the following information to answer the given Questions :

J$R means J is not smaller than R

J@R means J is neither smaller than nor equal to R

J#R means J is neither greater than nor equal to R

J&R means J is neither greater than nor smaller than R

J*R means J is not greater than R

6) Statements: W $ N, P@ H, K # P, W$H

Conclusions:

I.K # H

II. W @ P

III. H * W

IV. N # P

(a) Only I is true

(b) None is true

(c) Only III is true

(d) Only II is true

(e) Only IV is true

7) Statements:

W * G, K * F, G @ X, W @ K

Conclusions:

I. G @ K

II. W $ G

III. W @ G

IV. W @ X

(a) Only II is true

(b) None is true

(c) Only III and IV are true

(d) Only I is true

(e) Only I and IV are true

8) Statements:

R * Y, S # N, Y $ S, N @ J

Conclusions:

I. J # S

II. Y @ N

III. R # N

IV. Y @ J

(a) Only II is true

(b) None is true

(c) Only III is true

(d) Only I is true

(e) Only IV is true

9) Statements:

A @ K, K # N, N & B, B * W

Conclusions:

1. W $ N
2. B @ K
3. A @ W
4. K @ W

(a) I, II, and III are true

(b) I, II are true

(c) I, III are true

(d) I,III and IV are true

(e) All are true

10) Statements:

D # O, O * K, K @ R, R $ N

Conclusions:

I. N # O

II. N @ K

III. O # R

IV. K # D

(a) Only II is true

(b) None of these

(c) Only III is true

(d) Only I is true

(e) None is true