Question

# In the following question, the symbols @, ©, %, $and δ are used with the following meaning as illustrated below: ‘P © Q’ means ‘P is either greater than or equal to Q’. ‘P % Q’ means ‘P is either smaller than or equal to Q’. ‘P @ Q’ means ‘P is neither greater than nor smaller than Q’. ‘P$ Q’ means ‘P is smaller than Q’. ‘P δ Q’ means ‘P is greater than Q’. Assuming the given statements to be true in each of the following questions, find out which of the two conclusions I and II given below them is/are definitely true. Statements: B δ T, T $H, H @ M Conclusions: I. M δ T II. B δ H Correct Answer A Only conclusion I is true. Your Answer B Only conclusion II is true. Your Answer C Neither conclusion I nor II is true. Your Answer D Both conclusions I and II are true. Your Answer E Either conclusion I or II is true. Solution ## The correct option is E Only conclusion I is true. From the given Statements: BδT means ‘B is greater than T’ so B > T _______ (1) T$H means ‘T is smaller than H’ so T < H ______ (2) [email protected] means ‘H is neither greater than nor smaller than M’ so H = M ________(3) Now the given conclusions: MδT means ‘M is greater than T’ so M > T _______(i) BδH means ‘B is greater than H’ so B > H ________(ii) From the statements (2) and (3) we get T < H = M, so conclusion (i) follows while from the statements (1) and (2) B and H can’t be compared . So, conclusion (ii) does not follow.

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