In the following questions, the symbols Â©, Î¼, Î± , Ï‘ and % are used with the followin meaning as illustrated below:

‘XÂ©Y’ means ‘X is not smaller than Y’.

‘XÎ¼Y’ means ‘X is not greater than Y’.

‘XÎ±Y’ means ‘X is neither smaller than nor equal to Y’.

‘XÏ‘Y’ means ‘X is neither greater than nor equal to Y’.

‘X%Y’ means ‘X is neither smaller than nor greater than Y’.

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.

**1. Statements:** AÎ¼B, EÂ©B, PÎ±E, E Ï‘ S

Conclusions:

I. PÎ±S

II. EÂ©A

III. B Ï‘ P

IV. SÎ¼A

- Both I and II are true
- Both II and III are true
- Both II and IV are true
- I, II and III are true
- None of these

**2. Statements: **C Ï‘ T, T%W, WÂ©M, MÎ±D**
Conclusions:
**I. TÂ©D

II. C%M

III. TÎ¼M

IV. C Ï‘ W

- Only I is true
- Both I and II are true
- Both II and IV are true
- Both I and IV are true
- None of these

**3. Statements: **L Ï‘ K, VÎ±L, V%F, FÂ©G**
Conclusions:
**I. KÎ¼G

II. VÂ©G

III. L Ï‘ F

IV. V%K

(1) Both I and II are true

(2) Both I and III are true

(3) Both II and III are true

(4) Both III and IV are true

(5) None of these

**4. Statements: **J%Z, ZÎ¼H, HÎ±C, CÂ©U**
Conclusions:
**I. UÎ±H

II. Z%C

III. J Ï‘ C

IV. ZÎ¼U

- Only I is true
- Only II is true
- Only III is true
- Only IV is true
- None of these

**5. Statements: **NÂ©E, TÎ¼N, T Ï‘ I, Q%I**
Conclusions:
**I. QÎ±T

II. EÎ¼I

III. QÂ©N

IV. N Ï‘ I

- Only I is true
- Only II is true
- Both I and III are true
- Both II and IV are true
- None of these

Each of the questions below (6-8) consists of a question and two statements numbered I and II given below it. You have to decide whether the data given in the statements are sufficient to answer the questions. Read both the statements and –

- Give answer(1) if the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
- Give answer(2) if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
- Give answer(3) if the data either in statement I alone or statement II alone are sufficient to answer the question.
- Give answer(4) if the data in statement I and II together are not sufficient to answer the question.
- Give answer(5) if the data in both statements I and II together are necessary to answer the question.

**6. Seventeen people are standing in a straight line facing south. What is Bhavnaâ€™s position from the left end of the line?**

I. Sandeep is standing second to the left of Sheetal. Only five people stand between Sheetal and the one who is standing at the extreme right end of the line. Four people stand between Sandeep and Bhavna.

II. Anita is standing fourth to the left of Sheetal. Less than three people are standing between Bhavna and Anita.

**7. Five letters – A, E, G, N and R are arranged from left to right according to certain conditions. Which letter is placed third?**

I. G is placed second to the right of A. E is to the immediate right of G. There are only two letters between R and G.

II. N is exactly between A and G. Neither A nor G is at the extreme ends of the arrangement.

**8. Six people – S, T, U, V, W and X are sitting around a circular table facing the centre. What is Tâ€™s position with respect to X?**

I. Only two people sit between U and W. X is second to the left of W. V and T are immediate neighbours of each other.

II. T is to the immediate right of V. There are only two people between T and S. X is an immediate neighbour of S but not of V

**9. **Which of the following symbols should replace question mark (?) in the given expression in order to make the expressions â€˜A > Dâ€™ and ‘F â‰¥ C’ definitely true?

A > B â‰¥ C ? D â‰¤ E = F

(1) >

(2) <

(3) â‰¤

(4) =

(5) Either = or â‰¥

**10.Which of the following expression is definitely true if the given expressions â€˜R < Pâ€™ as well as â€˜S > Qâ€™ are definitely true?
**

(1) P > Q = R â‰¤ T < S

(2) S > T â‰¥ R > Q < P

(3) Q > R â‰¤ T > P â‰¥ S

(4) S > T â‰¥ R > Q > P

(5) None of these

**Explanations**

**7. 3**

From statement I, we have

R A N G E

Hence, letter N is third, so statement I alone is sufficient to answer the question.

Now from statement II

– A N G – or – G N A –

Again, we are able to find the answer. Hence, statement II alone is also sufficient.

**8. 2** By using statement I only.

We cannot determine the position of T with respect to

X. Hence, statement I alone is not sufficient to answer the question.

Now from statement II alone

T, is second left of X. Hence, statement II alone is

sufficient to answer the question.

**9. 4**

(1) A > B â‰¥ C > D â‰¤ E = F, A > D is true, but F â‰¥ C is not true.

(2) A > B â‰¥ C < D â‰¤ E = F , A > D and F â‰¥ C both are not true.

(3) A > B â‰¥ C â‰¤ D â‰¤ E = F , A > D is not true, but F â‰¥ C is true.

(4) A > B â‰¥ C = D â‰¤ E = F , A > D and F â‰¥ C both are true. Hence, (4) is the answer.

**10. 1 **P > Q = R â‰¤ T < S

from P > Q = R, P > R

and from Q = R â‰¤ T < S, S > Q.