Reasoning Aptitude
MATHEMATICAL OPERATIONS MCQs
Total Questions : 233
| Page 8 of 24 pages
Question 71. In the following questions the symbols +, ×, ?, @ and $ are used with the following meanings:'P+Q' means 'P is neither smaller nor greater than Q'.'P×Q' means 'P is neither equal to nor smaller than Q'.'P?Q' means 'P is neither greater than nor equal to Q'.'P@Q' means 'P is neither greater than or equal to Q'.'P$Q' means 'P is not equal to Q'.Statements: P $ Q, Q × R, P + RConclusions: I. Q × P II. P ? Q
Answer: Option E. -> if both the conclusions I and II are true.
P ≠Q -- (i); Q > R -- (ii); P = R -- (iii)From (ii) and (iii) , we get Q > R = P => Q > P.Hence both I and II are true.
Question 72. In the following questions the symbols +, ×, ?, @ and $ are used with the following meanings:'P+Q' means 'P is neither smaller nor greater than Q'.'P×Q' means 'P is neither equal to nor smaller than Q'.'P?Q' means 'P is neither greater than nor equal to Q'.'P@Q' means 'P is neither greater than or equal to Q'.'P$Q' means 'P is not equal to Q'.Statements: H @ J, J ? K, K × MConclusions: I. H @ M II. M × J
Answer: Option D. -> if neither conclusion I nor II is true.
H ≥ J -- (i); J < K -- (ii); K > M -- (iii)From (ii) and (iii), we get J < K > M => no relationship between J and M can be established. Hence, II can't be established. Again, combining all we can't conclude the relationship between H and M. Hence I is not true.
Question 73. In the following questions the symbols +, ×, ?, @ and $ are used with the following meanings:'P+Q' means 'P is neither smaller nor greater than Q'.'P×Q' means 'P is neither equal to nor smaller than Q'.'P?Q' means 'P is neither greater than nor equal to Q'.'P@Q' means 'P is neither greater than or equal to Q'.'P$Q' means 'P is not equal to Q'.Statements: E × F, F @ L, L + NConclusions: I. N + F II. E × L
Answer: Option B. -> if only conclusion II is true.
E > F -- (i); F ≥ L -- (ii); L = N -- (iii)From (ii) and (iii), we get F ≥ L = N => F ≥ N or N ≤ F.Hence, I may be true but not necessarily so.From (i) and (ii), we get E > F ≥ L => E > LHence II is true.
Question 74. In the following questions the symbols +, ×, ?, @ and $ are used with the following meanings:'P+Q' means 'P is neither smaller nor greater than Q'.'P×Q' means 'P is neither equal to nor smaller than Q'.'P?Q' means 'P is neither greater than nor equal to Q'.'P@Q' means 'P is neither greater than or equal to Q'.'P$Q' means 'P is not equal to Q'.Statements: Y @ Z, Z × Q, Q $ PConclusions: I. Y ? Q II. Y ? P
Answer: Option D. -> if neither conclusion I nor II is true.
Y ≥ Z -- (i); Z > Q -- (ii); Q ≠P -- (iii)From (i) and (ii), we get Y ≥ Z > Q => Y > Q -- (A)Hence I is not true. From (iii), two possible relationships between P and Q are:Case I: When P > QNow, using (A), we get Y > Q < P => no conclusion.Case II: When Q > Pusing (A), we get Y > Q > P => Y > P. Hence II is not true.
Question 75. In the following questions the symbols +, ×, ?, @ and $ are used with the following meanings:'P+Q' means 'P is neither smaller nor greater than Q'.'P×Q' means 'P is neither equal to nor smaller than Q'.'P?Q' means 'P is neither greater than nor equal to Q'.'P@Q' means 'P is neither greater than or equal to Q'.'P$Q' means 'P is not equal to Q'.Statements: M @ T, T + V, V ? EConclusions: I. V + M II. V ? M
Answer: Option C. -> if either conclusion I or II is true.
M ≥ T -- (i); T = V -- (ii); V < E -- (iii)From (i) and (ii), we get M ≥ T = V => M ≥ V => either V = M or V ≥ M is true.
Question 76. In the following given below, certain symbols are used with the following meanings:'A@B' means 'A is greater than B'.'A+B' means 'A is either greater than or equal to B'.'A÷B' means 'A is smaller than or equal to B'.'A×B' means 'A is either smaller than or equal to B'.'A$B' means 'A is equal to B'.Statements: G $ K, F @ J, K + Q, Q + FConclusions: I. K $ F II. F + K
Answer: Option C. -> if either conclusion I or II is true.
-NA-
Question 77. In the following given below, certain symbols are used with the following meanings:'A@B' means 'A is greater than B'.'A+B' means 'A is either greater than or equal to B'.'A÷B' means 'A is smaller than or equal to B'.'A×B' means 'A is either smaller than or equal to B'.'A$B' means 'A is equal to B'.Statements: W @ S, K @ Z, U + W, S $ KConclusions: I. U @ K II. Z @ S
Answer: Option A. -> if only conclusion I is true.
-NA-
Question 78. In the following given below, certain symbols are used with the following meanings:'A@B' means 'A is greater than B'.'A+B' means 'A is either greater than or equal to B'.'A÷B' means 'A is smaller than or equal to B'.'A×B' means 'A is either smaller than or equal to B'.'A$B' means 'A is equal to B'.Statements: T $ G, K @ P, M ÷ T, P + MConclusions: I> K @ T II. G $ P
Answer: Option D. -> if neither conclusion I nor II is true.
-NA-
Question 79. In the following given below, certain symbols are used with the following meanings:'A@B' means 'A is greater than B'.'A+B' means 'A is either greater than or equal to B'.'A÷B' means 'A is smaller than or equal to B'.'A×B' means 'A is either smaller than or equal to B'.'A$B' means 'A is equal to B'.Statements: G $ E, D ÷ K, E ÷ S, K × GConclusions: I. S @ D II. D ÷ E
Answer: Option E. -> if both the conclusions I and II are true.
-NA-
Question 80. 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 @ R, L & B, B ? KConclusions: I. B ? R II. R * L
Answer: Option D. -> if neither conclusion I nor II is true.
K ≥ R -- (i); L ≠B -- (ii); B ≤ K -- (iii)From (iii) and (i), we get B ≤ K ≥ R => no conclusion. Hence I does not not follow. No relationship between R and L can be determined. Hence II does not follow.
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