# Inequalities Set 11

Q1. Statement: M > U > L ≤ N; L ≥ Y > A
Conclusions:
I. M ≥ Y
II. M > N
III. N ≥Y
IV. M ≥ A
(a) Only either II or III is true.
(b) Only IV and either I or III are true.
(c) Only IV is true.
(d) Only II is true.
(e) Only III is true.

1. Ans.(e)

Q2. Statement: J ≥ A > D = E; L < A < M
Conclusions:
I. M < J
II. J ≥ L
III. M≥ J
IV. E >M
(a) Only II is true.
(b) Only I and III are true.
(c) None is true.
(d) Only II and IV are true.
(e) Only I and II are true.

2. Ans.(c)

Directions: (3-5): In the following questions, the symbols @, \$, #, © and % are used with the following meaning as illustrated below.
‘P \$ Q’ means ‘P is not smaller than Q’.
‘P © Q’ means ‘P is neither greater than nor equal to Q’.
‘P # Q’ means ‘P is neither smaller than nor equal to Q’.
‘P % Q’ means ‘P is not greater than Q’.
‘P @ Q’ means ‘P is neither greater than nor smaller than Q’.
Now, in each of the following questions, assuming the given statements to be true, find which of the four conclusions I, II, III and IV given below them is/are definitely true and give your answer accordingly.

Explanation Q3. Statements: R # J, J \$ D, D @ K, K % T
Conclusions:
I. T # D
II. T @ D
III. R # K
IV. J \$ T
(a) Only either I or II is true
(b) Only III is true
(c) Only III and IV are true
(d) Only either I or II and III are true
(e) None of these
Q4. Statements: T % R, R \$ M, M @ D, D © H
Conclusions:
I. D % R
II. H # R
IV. T % D
(a) Only I is true
(b) Only I and IV are true
(c) Only I and III are true
(d) Only II and IV are true
(e) None of these
Q5. Statements: M @ B, B # N, N \$ R, R © K
Conclusions:
I. K # B
III. M \$ R
(a) Only I and III are true
(b) Only I and II are true
(c) Only II and IV are true
(d) Only II, III and IV are true
(e) None of these

3. Ans.(d)
Sol. Statement= R >J  ≥ D = K ≤ T
4. Ans.(a)
Sol. Statement= T ≤ R ≥ M = D < H
5. Ans.(c)
Sol. Statement= M = B > N ≥ R < K

Directions (6-7): Read the following information carefully and answer the questions given below.
In a study of the five brands namely C, P, A, G and B of cloths were tested and ranked against expensiveness. The following results were obtained.
P and G were equally expensive. B was the least expensive brand among them.C was less expensive than P.G was less expensive than A.The expensiveness of A was more than that of P.
Q6. If the above statements are true, which of the following must also be true?
(a) A was the most expensive among them
(b) C was more expensive than A
(c) G was somewhere in the middle when they were set in descending order in terms of expensiveness.
(d) C was the most expensive among them
(e) None of the above
Q7. If a sixth brand F is tested and found to be more expensive that A, then which of the following must be true if the findings of the study are correct?
(a) At most three of the six brands are less expensive than F
(b) F is the most expensive
(c) P is more expensive than F
(d) F is less expensive than C
(e) None of the above