# Inequalities – Beginner Series – Set 3

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:

A≥B>C=D; A=H≤R>S; B<E≤F>G

Conclusions:

I.C<F           II.B≥R

III.D>S

a) Only I follows.

b) Only II follows.

c) All follow.

d) Only I and II follow.

e) Only I and III follow.

(a)

I.C < F         (True)

II.B ≥ R       (False)

III.D > S      (False)

Q.2) Statements:

M<H<J=R≥Q; J<L≤T>V; V<S=W>R≥X

Conclusions:

I.T>Q II.M<L

III.S>Q

a) Only I follows.

b) Only II follows.

c) All follow.

d) Only I and II follow.

e) Only I and III follow.

(c)

I.T > Q        (True)

II.M < L       (True)

III.S > Q      (False)

Q.3) Statements:

W=X≤U>Z; T≥K=U<M≤R<Y

Conclusions:

I.W<Y

II.Z<T

III.X≤R

a) Only I follows.

b) Only II follows.

c) All follow.

d) Only I and II follow.

e) Only I and III follow.

(d)

I.W < Y        (True)

II.Z < T        (True)

III.X ≤ R      (False)

Q.4) Statements:

A ≥ F > D < E ≥ L; O ≤ H < C ≥ B = A

Conclusions:

I.F≥C

II.F<C

III.D<C

a) Only I follows.

b) Only II follows.

c) Only III follows.

d) Only I and II follow.

e) Only I and III follow.

(c)

O ≤ H < C ≥ B = A ≥ F > D < E ≥ L

I.F ≥ C         (False)

II.F < C       (False)

III.D < C      (True)

Q.5) Statement:
K ≥ S > N = M ≤ Y < J ≥ R ≥ O > H ≥ A > V < T

Conclusions:
I.N > Y

II.R > V

III.Y ≤ N

a) Only I follows.

b) Only II follows.

c) Only III follows.

d) Only I and II follow.

e) Only I and III follow.

(b)

I.N > Y         (False)

II.R > V       (True)

III.Y ≤ N      (False)

D.6-7) In each of the following questions three conclusions I, II and III are given then find which of the following statements satisfy for the conclusions I and II are definitely true and conclusion III is definitely false.

Q.46) Conclusions:

I.A ≥ B

II.D < E

III.C > F

Statements:

a) A ≥ C > E = F; B = H ≤ A < D

b) A ≥ D = B > C > E; E ≥ G = F

c) A ≥ G = B < E; C < D < B < F

d) Either a or c

e) None of these

(c)

Q.7) Conclusions:

I.P<Q

II.R>S

III.T≥K

Statements:

a) P=R<Q≤T; P<S>K

b) Q>S>P<R≤K≤T

c) Q>R>P≥S; T≤Q=K

d) K=J≤T=S<Q<R=P

e) None of these

(c)

D.8-10) In the following questions, the symbols %, \$, @, *, # are used with the following meanings as illustrated below.

‘P @ Q’ means ‘P is not smaller than Q’

‘P \$ Q’ means ‘P is not greater than Q’

‘P % Q’ means ‘P is neither smaller than nor equal Q’

‘P # Q’ means ‘P is neither greater than nor equal Q’

‘P * Q’ means ‘P is neither greater than nor smaller than Q’

Q.8) If the conclusion H@G and K%F is definitely true in which of the following statements logically satisfies the given conclusion?

a) E # G\$ F # J * H % K @ I

b) G @ F % J * I \$ K # E \$H

c) H @ I @ J * K \$ E % G @ F

d) E @ G * F \$ H # J \$ I * K

e) None of these

(d)

E ≥ G = F ≤ H < J ≤ I = K

Q.9) If the conclusion W\$V and Q%T is definitely true in which of the following statements logically satisfies the given conclusion?

a) None of these

b) R * S @ P # Q * V \$ T * W @U

c) T \$ U * P \$ Q % S % V # W \$ R

d) Q % P * T @ U * S # W # V \$ R

e) P \$ R @ Q * S % V * U @ T * W

(e)

P ≤ R ≥ Q = S > V = U ≥ T = W

Q.10) If the conclusion B%D and A#E is definitely true in which of the following statements logically satisfies the given conclusion?

a) E # B @ H * J @ D % A \$ C * I

b) J % B @ D # A \$ H % I % C % E

c) C @ B % A * D # F \$ H * E # I

d) H * E @ F \$ G # A * C \$ B * D

e) None of these