Directions (Q. 1-5): In the following questions, the symbols d, %, ©, * and $ are used with the following meanings as illustrated below:
‘A d B’ means A is not greater than B
‘A % B’ means A is neither smaller than nor equal to B
‘A © B’ means A is neither greater than nor equal to B
‘A * B’ means A is neither greater nor smaller than B
‘A $ B’ means A is not smaller than B
Now in each of the following questions, assuming the given statements to be true, find which of the two conclusions I and II 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 I or II is true.
d) If neither conclusion I nor II is true.
e) If both conclusion I and II are true.

1. Statements: A % B * C $ D, E d G ©D                  
Conclusions:   I. G % B           II. A % E.
a
b
c
d
e

2.  Statements: M © O d U,Q d S d U
Conclusions:   I. U % M     II. S © U.
a
b
c
d
e

3.  Statements: W * X d U, X © O % U, W © T % O
Conclusions:   I. T % X                    II. U © T .
a
b
c
d
e

4.  Statement: T % U * V $ O % R © S © B % C
Conclusions:           I. U % R             II. 0 d B.
a
b
c
d
e

5. Statements: W © X d S, X % U ©W, U% Q
Conclusions:     I. Q © W           II. X % Q.
a
b
c
d
e

Directions (Q. 6-10): In the following question, the symbols @, #, %, * and $ are used with the following meanings as illustrated below:
‘R @ S’ means ‘R is not smaller than S’
‘R # S’ means ‘R is not greater than S’
‘R % S’ means ‘R is neither greater than nor equal to S’
‘R * S’ means ‘R is neither smaller nor greater than S’ 
‘R $ S’ means ‘R is neither smaller than nor equal to S’
In each of the following questions, assuming the given statements to be true, find out which of the three conclusions I, II and III given below them is/are definitely true.

6. Statement : N % I, I  # G, G *M
Conclusions:  I. M * I II. M $ I  III. M $ N
(a) All are true
(b) Only either I or II is true
(c) Only either I or II, and III are true
(d) Both II and III are true
(e) None of these .
All are true
Only either I or II is true
Only either I or II, and III are true
Both II and III are true
None of these

7. Statements:  Q # M, K @ M, G $ K 
Conclusions  I. Q % G  II. G $ M  III. M @ Q
(a) None is true
(b) Only I and II are true
(c) Only I and III are true
(d) Only II and III are true
(e) All are true.
None is true
Only I and II are true
Only I and III are true
Only II and III are true
All are true

8. Statement : Y * W, W @ S, S % U 
Conclusions I. Y * U II.Y $ U III. W $ U
(a) Either I or II is true
(b) Only III is true
(c) Only either I or II, and III are true 
(d) None is true. 
(e) None of these .
Either I or II is true
Only III is true
Only either I or II, and III are true
None is true
None of these

9. Statements: T $ P, P # S, S * M
Conclusions:  I. M * P  II. M % T  III. M $ P
(a) All are true
(b) Only either I or II is true
(c) Only II is true.
(d) Only either I or III is true.
(e) None of these .
All are true
Only either I or II is true
Only II is true
Only either I or III is true.
None of these

10. Statements: E @ W, Z $ W, I # E
Conclusions:  I. I # Z  II. E @ Z III. I $ W
(a) Only I is true
(b) Only II is true
(c) Only III is true
(d) None is true
(e) All are true.
Only I is true
Only II is true
Only III is true
None is true
All are true

Answers:


Directions (1-5):
Given d ® £,

           % ® >,
    © ® <,
    * ® =,
     $ ® ³

  1.  (b) Given statements:
    A % B * C $ D Þ A > B = C ³ D ………….(i)
    E d G © D Þ E £ G < D………………….(ii)
    Combining (i) and (ii), we get
    A > B = C ³ D >G ³ E
    Thus, B > G or G < B is true. Conclusion I (G % B Þ G > B) is not true
    but A > E or conclusions II (A % E) is true
  2. (a) Given statement:
    M© O d  U Þ M < O £ U …………(i)
    Q d S d U Þ Q £ S £ U …………….(ii)
    Combining (i) and (ii), we get
    M < O £ U ³ S ³ Q
    Thus, M < U or U < M is true. Hence I (U % M Þ U>M) is true.
    Again S £ U is true. Hence II (S < U) may be true but not definitely so.
  3. (e) Given statements:
    W * X d U Þ W = X £ U ………….(i)
    W © O % U Þ X < O > U …………..(ii)
    W © T % O Þ W < T > O …………..(iii)
    Combining (i), (ii) and (iii), we get
    W = X £ U < O < T
    Thus, X < T or T > X is true.
    Hence I (T % X) is true.
    Again, U < T is also true.
    Hence II (U © T) is true.
  4. (a) Given statement:
    T % U * V $ O % R © S © B % C
    Þ T > U = V ³ O > R < S < B > C
    Thus, U > R is true. Hence I (U % R Þ U > R) is true.
    Again, we can’t compare O and B. Hence II (O d B Þ O £ B) is not true.'
  5. (e) Given statement:
    W © X d S Þ W < X £ S …………..(i)
    X % U © W Þ X > U < W …………(ii)
    U % Q Þ U > Q ……………(iii)
    Combining (i), (ii) and (iii), we get
    Q < U < W < X £ S
    Thus, Q < W and I is true. Also, X > Q and II is true.

    Directions (6-10):
    @     ≥
    #    ≤
    %    <
    *          =
    $    >

  6. (c)
  7. (e)
  8. (d)
  9. (d)
  10. (d)


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