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.
Given d ®
£,
³
B * C $ D Þ A > B = C ³
D ………….(i)
(i) and (ii), we get
> B = C ³ D >G ³ E
B > G or G < B is true. Conclusion I (G % B Þ G > B) is not true
conclusions II (A % E) is true.
2. Statements:
M © O d U,Q d S d U
Conclusions: I. U % M II. S © U.
O d U Þ M < O £ U …………(i)
(i) and (ii), we get
< O £ U ³ S ³ Q
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. Statements:
W * X d U, X
© O % U, W © T % O
X d U Þ W = X £ U ………….(i)
O % U Þ X < O > U
…………..(ii)
T % O Þ W < T > O
…………..(iii)
(i), (ii) and (iii), we get
X £ U < O < T
X < T or T > X is true.
I (T % X) is true.
U < T is also true.
Hence
II (U © T) is true.
4. Statement:
T % U * V $ O % R © S © B % C
Conclusions: I. U % R II.
0 d B.
U * V $ O % R © S © B % C
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. Statements:
W © X d S, X %
U ©W, U% Q
Conclusions: I. Q © W II. X % Q.
X d S Þ W < X £ S …………..(i)
U © W Þ X > U < W
…………(ii)
Q Þ U > Q ……………(iii)
(i), (ii) and (iii), we get
< U < W < X £ S
Thus,
Q < W and I is true. Also, X > Q and II is true.
Directions
(Q. 6-10): In the following
question, the symbols @, #, %, * and
$ are used with the following meanings as illustrated below:
S’
S’
than nor equal to S’
smaller nor greater than S’
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 .
Directions (6-10):
@ | ≥ |
# | ≤ |
% | < |
* | = |
$ | > |
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.
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 .
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 .
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.