**Directions (1-4): In the following questions assuming the given statement to be true, find which of the conclusion(s) among given conclusions is/are definitely true and then give your answers accordingly.**

**Q1. Statements:** P > M < X < V; D ≤ L=M; D > S

**Conclusions**: I. P > S

II. P > V

(a) Only I is true.

(b) Only II is true.

(c) Either I or II is true.

(d) Neither I nor II is true.

(e) Both I and II are true.

**Q2. Statements:** M > A ≥ P > U; E < R > U; E ≥ L > W

**Conclusions**: I. M > L

II. W ≤ A

(a) Only I is true.

(b) Only II is true.

(c) Either I or II is true.

(d) Neither I nor II is true.

(e) Both I and II are true.

**Q3. Statements:** Q ≥ W > X > Z; E > Z; E > C

**Conclusions**: I. C < Q

II. E ≤ W

(a) Only I is true.

(b) Only II is true.

(c) Either I or II is true.

(d) Neither I nor II is true.

(e) Both I and II are true.

**Q4. Statements:** L > W < U < B; W ≥ X > P; P > T ≥ K

**Conclusions**: I. L > T

II. K≤ U

(a) Only I is true.

(b) Only II is true.

(c) Either I or II is true.

(d) Neither I nor II is true.

(e) Both I and II are true.

**Directions (5-8): In the following questions assuming the given statement to be true, find which of the conclusion(s) among given conclusions is/are definitely true and then give your answers accordingly.**

**Q5. Statements:** T > K ≥ B; S = C < B > P

**Conclusions**: I. T > S

II. P < K

(a) Only I is true.

(b) Only II is true.

(c) Either I or II is true.

(d) Neither I nor II is true.

(e) Both I and II are true.

**Q6. Statements:** T >N < R; N =S > Q; Q =Y < B

**Conclusions**: I. T > B

II. Y < R

(a) Only I is true.

(b) Only II is true.

(c) Either I or II is true.

(d) Neither I nor II is true.

(e) Both I and II are true.

**Q7. Statements:** G > Y; R < A ≤ B; V > M=R; G < B

**Conclusions**: I. R < G

II. B > V

(a) Only I is true.

(b) Only II is true.

(c) Either I or II is true.

(d) Neither I nor II is true.

(e) Both I and II are true.

**Q8. Statements:** W > F > V; L < Z < V; L ≥ R =T

**Conclusions**: I. R < W

II. T < Z

(a) Only I is true.

(b) Only II is true.

(c) Either I or II is true.

(d) Neither I nor II is true.

(e) Both I and II are true.

**Q9. In which of the given expressions does the expressions “V < D” and “U > S” definitely hold true?**

(a) P= D < U ≥ H = L > V > S

(b) S > P = V ≥ Q = U < D >H

(c) P < U > V < H =W < D > S

(d) V= S < Q = D < U = O < P

(e) None is true

**Q10. Which of the following expressions does the expression “J > D” and “P < V” definitely hold true?**

(a) P ≥ J ≥V = L > S > D

(b) P < S ≥ D = N=U < V<J

(c) J ≥R > B ≥ P =V ≥ D

(d) V > S =P < Q < D < J

(e) D ≥ T = V ≥ H = P < J

**Q11. What should come in place of question mark, in the given expressions to make A < B always true?**

**A = H ≤ U = D ? I = Q ? B**

(a) ≥

(b) >

(c) =

(d) <

(e) ≤

**Q12. What should come in place of question mark, in the given expressions to make Z > X always true?**

**W > Z ? P = M ? C = S ≥ X**

(a) ≥

(b) >

(c) =

(d) <

(e) ≤

**Directions (13-15): In the following questions assuming the given statement to be true, find which of the conclusion(s) among given conclusions is/are definitely true and then give your answers accordingly.**

**Q13. Statement:** S ≥ F > W; H < V ≤ W > N; U ≤ T = H

**Conclusions**: I. S > U

II. N ≤ F

(a) Only I is true.

(b) Only II is true.

(c) Either I or II is true.

(d) Neither I nor II is true.

(e) Both I and II are true.

**Q14. Statement:** Z ≤ Y < W; Z ≥ U < T; U > S ≥ P

**Conclusions**: I. U ≤ Y

II. T ≥ P

(a) Only I is true.

(b) Only II is true.

(c) Either I or II is true.

(d) Neither I nor II is true.

(e) Both I and II are true.

**Q15. Statement:** K > G ≥ D > C = J; N ≥ M > L > K

**Conclusions**: I. K > J

II. C < L

(a) Only I is true.

(b) Only II is true.

(c) Either I or II is true.

(d) Neither I nor II is true.

(e) Both I and II are true.

**Solutions**

**S1. Ans. (a)**

**Sol.** I. P > S – True

II. P > V – False

**S2. Ans. (d)**

**Sol.** I. M > L – False

II. W ≤ A – False

**S3. Ans. (d)**

**Sol.** I. C < Q – False

II. E ≤ W – False

**S4. Ans. (a)**

**Sol.** I. L > T – True

II. K≤ U – False

**S5. Ans. (e)**

**Sol.** I. T > S – True

II. P < K – True

**S6. Ans. (b)**

**Sol.** I. T > B – False

II. Y < R – True

**S7. Ans. (d)**

**Sol.** I. R < G – False

II. B > V – False

**S8. Ans. (e)**

**Sol.** I. R < W – True

II. T < Z – True

**S9. Ans. (d)**

**Sol.** So, among all the given options, expression given in option (d) is correct to make the expressions (V < D and U > S) definitely true.

**S10. Ans. (d)**

**Sol.** Among the given options, expression given in option (d), make the expression (J > D and P≤ V) definitely true.

**S11. Ans. (d)**

**Sol.** According to question, we get

A = H <_ U = D < I = Q < B

Hence, option (d) is correct answer.

**S12. Ans. (b)**

**Sol.** According to question, we get

W > Z > P = M > C = S ≥ X

Hence, option (b) is correct answer.

**S13. Ans. (a)**

**Sol.** I. S > U – True

II. N ≤ F – False

**S14. Ans. (a)**

**Sol.** I. U ≤ Y – True

II. T ≥ P – False

**S15. Ans. (e)**

**Sol.** I. K > J – True

II. C < L – True