# Inequalities – Beginner Series – Set 4

D.1-5) In each question, statements are given, which are followed by three conclusions I, II & III.You have to find out which conclusion(s) is/are definitely true.

Q.1) Statements:

T≥R; R=Q; Q<P; P≤S

Conclusions:

I.T>Q

II.T=Q

III.P<R

a) Only II is true

b) None is true

c) Only III is true

d) Only either I or II is true

e) Only I is true

(d)

T ≥ R = Q < P ≤ S

I.T>Q (False)

II.T=Q         (False)

III.P<R        (False)

Q.2) Statements:

A=B; B≤C; C<D; D≥ E

Conclusions:

I.A≥E           II.B<D         III.A<C

a) Only II and I are true

b) None is true

c) Only III is true

d) Only I is true

e) Only II is true

(e)

A = B ≤ C < D ≥ E

I.A≥E          (False)

II.B<D         (True)

III.A<C         (False)

Q.3) Statements:

J≥K; K>L; L≥M; M>N

Conclusions:

I.J=K

II.L>M

III.L≥N

a) All are true

b) None is true

c) Only III is true

d) Only I is true

e) Only II is true

(b)

J ≥ K > L ≥ M > N

I.J=K        (False)

II.L>M       (False)

III.L≥N       (False)

Q.4) Statements:

Y>X>W; W≤V; Z<Y

Conclusions:

I.Y>W

II.X>W

III.X≥W

a) Only I and II are true

b) None is true

c) Only III is true

d) Only I is true

e) Only II is true

(a)

Z < Y > X > W ≤ V

I.Y>W          (True)

II.X>W         (True)

III.X≥W        (False)

Q.5) Statements:

C≥D; D=E; F≤E; F>G

Conclusions:

I.E>G

II.DG

III.E≤C

a) All are true

b) None is true

c) Only III is true

d) Only I is true

e) Only II is true

(a)

C ≥ D = E ≥ F > G

I.E>G           (True)

II.DG          (True)

III.E≤C          (True)

D.6-10) In the following questions, the symbols %, \$, @, *, # are used with the following meanings as illustrated below.

“P@Q” means “P is greater than Q”

“P#Q” means “P is smaller than or equal to Q”

“P\$Q” means “P is greater than or equal to Q”

“P%Q” means “P is smaller than Q”

“P*Q” means “P is Equal to Q”

Q.6) Statements:

G@P\$R; A%B#R

Conclusions:

I.G@R

II.P\$B

III.G@B

a) Only III is true

b) Only I is true

c) Only II is true

d) All are true

e) None is true

(d)

G > P ≥ R ≥ B > A

I.G>R         (True)

II.P≥B         (True)

III.G>B        (True)

Q.7) Statements:

D%E; E\$H; F\$H; F#G

Conclusions:

I.H#G

II.E\$F

III.D@F

a) Only III is true

b) Only I is true

c) Only II is true

d) All are true

e) None is true

(b)

D < E ≥ H ≤ F ≤ G

I.H≤G         (True)

II.E≥F         (False)

III.D>F        (False)

Q.8) Statements:

Q#R@S*Z\$U

Conclusions:

I.R*Z

II.U#S

III.Q@Z

a) Only III is true

b) Only I is true

c) Only II is true

d) All are true

e) None is true

(c)

Q ≤ R > S = Z ≥ U

I.R=Z          (False)

II.U≤S        (True)

III.Q>Z       (False)

Q.9) Statements:

U%F; Q@G; R\$G; R#B; F*B

Conclusions:

I.B*G

II.R@Q

III.B@G

a) Only II is true

b) None is true

c) Only III is true

d) Only either I or III is true

e) Only I is true

(d)

U < F = B ≥ R ≥ G < Q

I.B=G         (False)

II.R>Q        (False)

III.B>G       (False)

Q.10) Statements:

A\$B, B\$C, C@D, D%E

Conclusions:

I.C#A

II.E@D

III.C%E

a) Only I and III is true

b) Only I and II is true

c) Only II is true

d) All are true

e) None is true

(b)

A ≥ B ≥ C > D < E

I.C≤A            (True)

II.E>D            (True)

III.C<E           (False)