Sunday, August 19, 2012

CODED INEQUALITIES


Q. In the following questions, the symbols@, ©, $,% and # are used with the following meanings
illustrated.
‘P $ Q’ means ‘P is neither smaller than nor equal to Q’.
‘P # Q’ means ‘P is not smaller than Q’.
‘P @ Q’ means ‘P is not greater than Q’.
‘P % Q’ means ‘P is neither smaller than nor greater than Q’.
‘P © Q’ means ‘P is neither greater than nor equal to Q’.
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.

Q.1. Statements : B % H, H $ E, E @ K
        Conclusions : I. K$H II. K$B III. E©B
       (1) None is true   (2) Only III is true   (3) Only II is true
       (4) Only I is true (5) Only I and III are true

Q.2. Statements : M # W, W % N, N $ B
        Conclusions : I. N % M II. N©M III. M $ B
       (1) Only either I or II is true               (2) Only either I or III is true
       (3) Only either I or II and III are true (4) Only III is true
       (5) None of these

Q.3. Statements : M©T, T#J, J$K
           Conclusions : I. K©T II. M©J , III. K @ M
          (1) None is true   (2) Only III is true (3) Only II is true
          (4) Only I is true (5) Only I and II are true

Q.4. Statements : F # N, N © D, D @ R
        Conclusions : I. D # F II. R$N III. R $ F
       (1) None is true     (2) Only I is true (3) Only II is true
      (4) Only III is true (5) Only II and III are true

Q.5. Statements : W@F, F$M, M©D
       Conclusions : I. D $ F II. W©M III. F $ D
      (1) None is true      (2) Only I is true (3) Only II is true
      (4) Only III is true (5) Only II and III are true

SOLUTIONS


Q.1.(2)Statements : B = H > E, K > E
       Conclusions : I. K > HFalse
       II. K > B False
       III. B > E True

Q.2.(3)Statements : M > W = N > B
       Conclusions : I. N = M Either I or II true
       II. M > N
       III. M > B True

Q.3.(4)Statements : T > M, T > J > K
       Conclusions : I. T > K True
       II. J > M False
       III. M > K False

Q.4.(3)Statements : F > N, R > D > N
       Conclusions : I. D > F False
       II. R > N True
       III. R > F False

Q.5.(1)Statements : F > W, F > M, D > M
      Conclusions : I. D > F False
      II. M > W False
      III. F > D False

Q.6.(1)Statements : F > R, F > D, M > D
       Conclusions : I. D > RFalse
       II. M = F False
       III. M > R False


Q. 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 not greater than Q’.
‘P * Q’ means ‘Pis neither greater than nor equal to Q’.
‘P © Q’means’P is neither smaller than nor equal to Q’.
‘P @ Q’ means ‘P is neither greater than nor smaller than Q’.

Q.1. Statements : R@K, K$F, F * N
        Conclusions : I. N © R II. F@R III. F©R
       (1) Only I is true (2) Only either II or III is true
       (3) Only I and either II or III are true (4) Only III is true
       (5) None of these

Q.2. Statements : J © M, M * K, K % D
        Conclusions : I. J©D II. D * M III. K©J
       (1) None is true (2) Only I is true (3) Only II is true
       (4) Only III is true (5) Only I and II are true

Q.3. Statements : H * T, T $ B, B © R
          Conclusions : I. R©H II. B©H III. T * R
         (1) Only I is true (2) Only I and II are true
         (3) Only I and III are true (4) Only ll and III are true
         (5) None of these

Q.4. Statements : R $ D, D @ N, N © F
        Conclusions : I. F * D II. F * R III. N % R
        (1) Only I and II are true (2) Only I and III are true
        (3) Only II and III are true (4) All are true
        (5) None of these

Q.5. Statements : F $ B, B @ H, H % K
        Conclusions : I. B % F II. K@F III. K$B
        (1) Only I is true (2) Only II is true
        (3) Only III is true (4) Only I and III are true
        (5) None of these

Q.6. Statements : M % D, D * K, K $ N
        Conclusions : I. K©M II. N©D III. M©N
        (1) Only I is true (2) Only II is true
        (3) Only III is true (4) Only I and II are true
        (5) None of these

SOLUTIONS


Q.1.(3) R = K < F < N
        I. N > R True
        II. F = R
        III. F > R Complementry pair

Q.2.(1) J > M < K > D
        I. J > D False
        II. D < M False
        III. K > J False

Q.3.(5) H < T < B > R
        I. R > H False
        II. B > H True
        III. T < R False

Q.4.(2) R < D = N > F
        I. F < D True
        II. F < R False
        III. N > R True

Q.5.(4) F < B = H > K
        I. B > F True
        II. K = F False
        III. K < B True

Q.6.(2) M > D < K < N
        I. K > M False
        II. N > D True
        III. M > N False


Q. In the following questions, the symbols #, %,@, $ and ©are used with the following meanings illustrated.
‘P # Q’ means ‘P is not smaller than Q’
‘P % Q’means’P is not greater than Q’.
‘P @ Q’ means ‘P is neither smaller than nor equal to Q’.
‘P $ Q’ means ‘P is neither greater than nor equal to Q’.
‘P © Q’ means ‘P is neither smaller than nor 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.
Give answer (2) if only conclusion II is true.
Give answer (3) if either conclusion I or conclusion II is true.
Give answer (4) if neither conclusion I nor conclusion II is true.
Give answer (5) if both conclusions I and II are true.

Q.1. Statement : H © W, W % R, R @ F
      Conclusions: I. R©H II. R @ H

Q.2. Statement : M$T, T@K, K©D
      Conclusions : I. D$T II. K$M

Q.3. Statement : R % N, N # F, F @ B
      Conclusions : I. F©R II. B$N

Q.4. Statement : H @ W, W $ M, M # K
      Conclusions : I. K$W II. H @ M

Q.5. Statement : R#T, T©M, M @ D
      Conclusions : I. D$T II. R#M

Q.6. Statement : F # K, K $ B, B % M
      Conclusions : I. M @ F II. B @ F



SOLUTIONS


Q.1.(3) H = W < R > F
        (i) R = H (ii) R > H
         both (i) & (ii) jointly satisfy the given equation thats why either (i) or (ii)

Q.2.(1)M < T > K = D
       (i) D < T (ii) K < M

Q.3.(2) R < N > F > B
       (i) F = R (ii) B < N

Q.4.(4) H > W < M > K
       (i) K < W (ii) H > M

Q.5.(5) R > T = M > D
       (i) D < T (ii) R > M

Q.6.(4) F > K < B < M
       (i) M > F (ii) B > F



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