ఏ చిహ్నాలు అమర్చాలి ..?

ఏ చిహ్నాలు అమర్చాలి ..?

CODED INEQUALITIES

Directions (Q 1-5): In the following questions, a relationship between different elements is shown in the statement(s). The statement(s) is/are followed by two conclusions.
Give answer
    1) If only conclusion I is true.
    2) If only conclusion II is true.
    3) If either conclusion I or II is true.
    4) If neither conclusion I nor II is true.
    5) If both conclusions I and II are true.
1.    Statements: K < N = O, P > W < K
    Conclusions: I. P > N II. O > W
    Sol: We can't compare P and N. Hence, conclusion I is not true.
    W < K < N = O. Hence, W < O. So, conclusion II is true.
    Ans: 2
2.    Statements: C = P, G < C, N > G
    Conclusions: I. N > C II. P = N
    Sol: N > G < C = P. So, we can't compare N and C. Conclusion I is not true. Conclusion II is also not true.
    Ans: 4
3.    Statements: I > N ³ T, E < R = T
    Conclusions: I. I > R II. E £ N
    Sol: I > N ³ T = R > E. conclusion I is true. Conclusion II is not true.
    Ans: 1
4.    Statements: V < Q = A. W = Z > P
    Conclusions: I. Q ³ Z II. V < P
    Sol: There is no relationship between Q and Z as well as between V and P. Hence, both the conclusion don't follow.
    Ans: 4
5.    Statements: Z ³ X < Y > M > N
    Conclusions: I. N < Y II. Z ³ M
    Sol: Conclusion I is true where as conclusion II is not true.
    Ans: 1
Directions (Q 6-10): In the following questions, the symbols $, @, %, © And # are used with the following meanings as illustrated below:
    'P # Q' means 'P' is neither greater than nor equal to 'Q'.
    'P © Q' means 'P' is neither equal to nor smaller then 'Q'.
    'P % Q' means 'P' is neither smaller than nor greater then 'Q'.
    'P $ Q' means 'P' is not smaller then 'Q'.
    'P @ Q' means 'P' is not greater than 'Q'.
In each of the following questions, assuming the given statements to be true, find out which of the two conclusions I and II given below them is/are definitely true.
Give answer
    1) If only conclusion I is true.
    2) If only conclusion II is true.
    3) If either conclusion I or II is true.
    4) If neither conclusion I nor II is true.
    5) If both conclusions I and II are true.
6.    Statements: B # E, C © Q, Q @ E
    Conclusions: I. C © B II. B © Q
    Sol: C > Q £ E > B
    We can't compare C and B. Hence, conclusion I is not true. Similarly, we can't compare B and Q. Hence, conclusion II is not true.
    Ans: 4
7.    Statements: D @ F, S # G, G $ D
    Conclusions: I. S # D II. F $ G
    Sol: S < G ³ D £ F. We can't compare S and D. Hence, conclusion I is not true. Same is the case with F and G. Hence, conclusion II is not true.
    Ans: 4
8.    Statements: N © R, P @ W, R % P
    Conclusions: I. W $ N II. N © W
    Sol: N > R = P £ W. Both conclusions I and II form a complementary pair. Hence, Either I or II follows.
    Ans: 3
9.    Statements: C @ D, D © M,
                  A @ M
    Conclusions: I. M # C II. D © A
    Sol: A £ M < D ³ C
    As we can't compare M and C, conclusion I is not true. A < D. Hence, conclusion II is true.
    Ans: 2
10.    Statements: G $ T, T % V, Q © V
    Conclusions: I. Q © T II. V @ G
    Sol: Q > V = T £ G
    Q > T. Hence, conclusion I is true. V £ G. Hence, conclusion II is also true.
    Ans: 5

Directions (Q. 11-15): In the following questions, a relationship between different elements is shown in the statement(s). The statement(s) is/are followed by two conclusions. Give answer
    1) If only conclusion I is true.
    2) If only conclusion II is true.
    3) If either conclusion I or II is true.
    4) If neither conclusion I nor II is true.
    5) If both conclusions I and II are true.
11.    Statements: C £ B < X = Y > Z, P < B < R
    Conclusions: I. C < R II. R < Y
    Sol: C £ B < R.
    Hence, C < R. Conclusion I is tr- ue. R and Y cannot be compared. Hence, conclusion II is not true.
    Ans: 1
12.    Statements: V > W = X ³ Z,
                 W < P, X > Q
    Conclusions: I. Q < V II. P > Z
    Sol: V > W = X > Q.
    V > Q. Hence, conclusion I is true.
    P > W = X ³ Z. Hence, P > Z.
    So, Conclusion II is also true.
    Ans: 5
13.    Statements: R = X > M ³ P,
                  X £ K < S
    Conclusions: I. R < S II. K > P
    Sol: R = X £ K < S. Hence, conclusion I is true.
    K ³ X > M ³ P. Hence, conclusion II is also true.
    Ans: 5
14.    Statements: S ³ P > L,
                 P = N < K, S < Z
    Conclusions: I. Z = K II. N £ S
    Sol: Z > S ³ P = N < K. Hence, conclusion I is not true.
    S ³ P = N. Hence, S ³ N. So, conclusion II is true.
    Ans: 2
15.    Statements: S > K, M £ T £ R, K < M
    Conclusions: I. R > S II. K > T
    Sol: R ³ T ³ M > K < S. Hence, R and S cannot be compared. Conclusion I is not true.
    T ³ M > K. Hence, T > K. So, conclusion II is not true.
    Ans: 4
Direction (Q. 16 - 20): Read each statement carefully and answer the following questions:
16.    Which of the following expressions will be true if the expression A ³ B > C = D ³ E > F is definitely true?
    1) A ³ D    2) B ³ D    3) F > A
    4) C > F    5) A ³ E
    Sol: C = D ³ E > F
        Hence, C > F.
    Ans: 4
17.    Which of the symbols should be placed in the blank space from left to right respectively to complete the expression in such a manner that A > B, C > A and
    D> F are definitely true?
    D £ A_X, D_B, C = X, F_B
    1) <, >, <    2) >, >, <    3) =, <, >
    4) =, <, <    5) >, =, <
    Sol: D £ A < X, D > B, C = X,
    F < B. For better understanding the above expression can be arranged in the following way.
    F < B < D £ A < X = C
    Ans: 1
18.    Which of the following symbols should replace the question mark (?) in the given expression to make the expression J > N and
    K ³ N definitely true?
    J ? K ³ L ? M ? N < O
    1) <, >, =    2) >, ³, =    3) >, £, ³
    4) >, =, £    5) None of these
    Sol: J > K ³ L ³ M = N
    Ans: 2
19.    Which of the following symbols should be placed in the blank spaces respectively from left to right to complete the given expression in such a manner that the expression T > W is definitely false and the expressions Z ³ T and Y ³ V are definitely true?
    Z_ Y _ X ³ W = V_T
    1) ³, ³, ³    2) £, £, ³    3) >, ³, >
    4) ³, =, <    5) None of these
    Sol: Z ³ Y ³ X ³ W = V ³ T
    Ans: 1
20.    In which of the following expressions is 'P>Q' not definitely true?
    1) Q > C £ R < P
    2) Q £ R < S £ P
    3) P > S = T ³ Q
    4) P > S = T ³ Q
    5) None of these
    Sol: Q and P cannot be compared. In all the remaining options P > Q.
    Ans: 1

Directions (Q. 21 - 25): In these questions, the relationship between different elements is shown in the statements.
Give answer
    1) If only conclusion I follows.
    2) If only conclusion II follows.
    3) If either conclusion I or II follows.
    4) If neither conclusion nor II follows.
    5) If both conclusion I and II follow.
21.    Statements: Z = A ³ C < M, R > Z
    Conclusions: I. R > C II. A < M
    Sol: R > Z = A ³ C
    Hence, R > C. So, conclusion I is true. A and M cannot be compared. So, conclusion II is not true.
    Ans: 1
22.    Statements: N > A ³ C, P = N,
                  P £ L
    Conclusions: I. N > C II. L > A
    Sol: N > A ³ C
    Hence, N > C. Conclusion I is true.
    L ³ P = N > A
    Hence, L > A. Conclusion II is also true.
    Ans: 5
23.    Statements: S £ K < M > W ³ Z
    Conclusions: I. W < K II. Z = S
    Sol: W and K cannot be compared. Similarly Z and S cannot be compared.
    Ans: 4
24.    Statements: S £ L < R, S ³ N,
                  P = N
    Conclusions: I. P = S II. R < N
    Sol: S ³ N = P
    Hence, conclusion I is not true.
    R > L ³ S ³ N
    Hence, conclusion II is not true.
    Ans: 4
25.    Statements: L > M ³ P £ S,
                  Q < P, M < K
    Conclusions: I. K = L II. M ³ Q
    Sol: L > M < K
    Hence, L and K cannot be compared.
    M ³ P > Q
    M > Q. Hence, Conclusion II is not true
    Ans: 4