Reasoning Aptitude
MATHEMATICAL OPERATIONS MCQs
Total Questions : 233
| Page 9 of 24 pages
Question 81. In the following questions the symbols, @, &, *, $ and ? are used with the following meanings:'P?Q' means 'P is either equal to or smaller than Q'.'P$Q' means 'P is neither greater than nor smaller than Q'.'P*Q' means 'P is neither greater than nor equal to Q'.'P@Q' means 'P is either greater than or equal to Q'.'P&Q' means 'P is not equal to Q'.Statements: J * M, W $ E, J @ WConclusions: I. M ? W II. J ? E
Answer: Option D. -> if neither conclusion I nor II is true.
J < M -- (i); W = E -- (ii); J ≥ W -- (iii)From (i) and (iii), we get J ≥ W = E => J > E. Hence, I is not true.From (ii) and (iii), we get M > J ≥ W = E => J ≥ E. Hence II is not true.
Question 82. In the following questions the symbols, @, &, *, $ and ? are used with the following meanings:'P?Q' means 'P is either equal to or smaller than Q'.'P$Q' means 'P is neither greater than nor smaller than Q'.'P*Q' means 'P is neither greater than nor equal to Q'.'P@Q' means 'P is either greater than or equal to Q'.'P&Q' means 'P is not equal to Q'.Statements: R @ S, S ? U, T $ RConclusions: I. T $ S II. T ? U
Answer: Option D. -> if neither conclusion I nor II is true.
-NA-
Question 83. In the following questions the symbols, @, &, *, $ and ? are used with the following meanings:'P?Q' means 'P is either equal to or smaller than Q'.'P$Q' means 'P is neither greater than nor smaller than Q'.'P*Q' means 'P is neither greater than nor equal to Q'.'P@Q' means 'P is either greater than or equal to Q'.'P&Q' means 'P is not equal to Q'.Statements: K $ M, N & M, J @ kConclusions: I. J ? M II. K $ N
Answer: Option D. -> if neither conclusion I nor II is true.
-NA-
Question 84. In the following questions the symbols, @, &, *, $ and ? are used with the following meanings:'P?Q' means 'P is either equal to or smaller than Q'.'P$Q' means 'P is neither greater than nor smaller than Q'.'P*Q' means 'P is neither greater than nor equal to Q'.'P@Q' means 'P is either greater than or equal to Q'.'P&Q' means 'P is not equal to Q'.Statements: A * B, B ? C, C @ DConclusions: I. A $ D II. B ? D
Answer: Option D. -> if neither conclusion I nor II is true.
-NA-
Question 85. In the following questions the symbols @, Ñ, £, ? and $ are used with the following meanings:'A@B' means 'A is neither equal to nor smaller than B'.'AÑB' means 'A is neither greater nor smaller than B'.'A£B' means 'A is not equal to B'.'A?B' means 'A is neither greater than nor equal to B'.'A$B' means 'A is either greater or equal to B'.Statements: N ? S, S @ P, P £ MConclusions: I. S @ m II. P Ñ N
Answer: Option D. -> if neither conclusion I nor II is true.
N ≥ S -- (i); S > P -- (ii); P ≠M -- (iii)From (ii) and (iii), no definite relationship between S and M can be established. Hence I is not true.From (i) and (ii), we get, N < S > P => no conclusion. Hence, II is not true.
Question 86. In the following questions the symbols @, Ñ, £, ? and $ are used with the following meanings:'A@B' means 'A is neither equal to nor smaller than B'.'AÑB' means 'A is neither greater nor smaller than B'.'A£B' means 'A is not equal to B'.'A?B' means 'A is neither greater than nor equal to B'.'A$B' means 'A is either greater or equal to B'.Statements: R Ñ U, U ? Q, W $ RConclusions: I. W Ñ U II. W @ U
Answer: Option C. -> if either conclusion I or II is true.
-NA-
Question 87. In the following questions the symbols @, Ñ, £, ? and $ are used with the following meanings:'A@B' means 'A is neither equal to nor smaller than B'.'AÑB' means 'A is neither greater nor smaller than B'.'A£B' means 'A is not equal to B'.'A?B' means 'A is neither greater than nor equal to B'.'A$B' means 'A is either greater or equal to B'.Statements: L @ T, P ? T, K $ LConclusions: I. L @ P II. K @ T
Answer: Option E. -> if both the conclusions I and II are true.
-NA-
Question 88. In the following questions the symbols @, Ñ, £, ? and $ are used with the following meanings:'A@B' means 'A is neither equal to nor smaller than B'.'AÑB' means 'A is neither greater nor smaller than B'.'A£B' means 'A is not equal to B'.'A?B' means 'A is neither greater than nor equal to B'.'A$B' means 'A is either greater or equal to B'.Statements: J Ñ P, P $ N, J £ HConclusions: I. J Ñ N II. H @ P
Answer: Option D. -> if neither conclusion I nor II is true.
J = P -- (i); P ≥ N -- (ii); J ≠H -- (iii)From (i) and (ii), we get, J = P ≥ N => J ≥ N => I may be true but not necessarily so.From (i) and (iii), P = J ≠H => P ≠H. Hence again II may be true but H < P may be other possibility.Hence, II is not true.
Question 89. In the following questions the symbols @, Ñ, £, ? and $ are used with the following meanings:'A@B' means 'A is neither equal to nor smaller than B'.'AÑB' means 'A is neither greater nor smaller than B'.'A£B' means 'A is not equal to B'.'A?B' means 'A is neither greater than nor equal to B'.'A$B' means 'A is either greater or equal to B'.Statements: Z @ D, F Ñ D, F $ GConclusions: I. D Ñ G II. Z @ G
Answer: Option B. -> if only conclusion II is true.
-NA-
Question 90. In the following questions, the symbols +, ×, =, ÷ and - are used with following meanings: 'P+Q' means 'P is greater than Q'.'P×Q' means 'P is either greater than or equal to Q'.'P=Q' means 'P is equal to Q'.'P÷Q' means 'P is smaller than Q'.'P-Q' means 'P is either smaller than or equal to Q'.Statements: B ÷ A, D × E, E + AConclusions: I. D + A II. B ÷ E
Answer: Option E. -> if both the conclusions I and II are true.
B < A -- (i); D ≥ E -- (ii); E > A -- (iii)From (ii) and (iii), we get D ≥ E > A => D > A.Hence I is true.From (i) and (iii), we get B < A < E => B < E.Hence II is true.
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