Inequalities Set 13 - COMPLETE SUCCESS

Directions (1-5): In the following questions the symbols @, +, ©, $, ∆ and ? are used with the following meaning:

P ∆ Q means P is not equal to Q.

P @ Q means P is greater than Q.

P + Q means P is smaller than Q.

P © Q means P is either greater than or equal to Q.

P $ Q means P is either smaller than or equal to Q.

P ? Q means P is equal to Q.

Now in each of the following questions assuming the given statements to be true, ﬁnd which of the two conclusions I and ll given below them is/are deﬁnitely true. Give answer

a)if only conclusion I is true.

b)if only conclusion II is true.

c)if either conclusion l or ll is true. .

d)if neither conclusion I nor ll is true.

e)if both conclusions I and ll are true.

Q1. Statements:K © M, M ∆ R, R ? T

Conclusions: I. K © T II. M ? T

Q2. Statements: B+D, D@N, N$H

Conclusions: I.H©D II H©N

Q3. Statements: M©K, K@P, P$N

Conclusions: I. M@N II.M?N

Q4. Statements: T$M, M?Q, Q+R

Conclusions: I. Q @ T II.Q ? T

Q5. Statements: D @ B, B$T, T + M

Conclusions: I.M@B II.T©B

Answers

Solution(1-5):

∆—- ≠

@—- >

+ —- <

$ —– ≤

? —— =

1. Ans.(d)

Sol. Statement-K≥M≠R=T

Conclusion- K≥T, M=T

2. Ans.(b)

Sol. Statement- BN≤H

Conclusion- H≥D, H≥N

3. Ans.(d)

Sol. Statement-M≥K>P≤N

Conclusion- M>N, M=N

4. Ans.(c)

Sol. Statement- T≤M=Q

Conclusion- Q>T, Q=T

5. Ans.(e)

Sol. Statement-D>B≤T

Conclusion- M>B, T≥B

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