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Reasoning Aptitude

MATHEMATICAL OPERATIONS MCQs

Total Questions : 233 | Page 7 of 24 pages
Question 61. In these questions, certain symbols have been used to indicate relationships between elements follows:'A*B' means 'A is either equal to or greater than B'.'A$B' means 'A is equal to B'.'A£B' means 'A is either equal to or smaller than B'.'A&B' means 'A is smaller than B'.'A@B' means 'A is greater than B'.Statements: Y $ Z, H $ D, Z * DConclusions: 1. D £ Y   II. H £ Z
  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 the conclusions I and II are true.
 Discuss Question
Answer: Option E. -> if both the conclusions I and II are true.


Combining all three statements, we get Y = Z ≥ D = H. Therefore D ≤ Y and H ≤ Z are true.


Question 62. In these questions, certain symbols have been used to indicate relationships between elements follows:'A*B' means 'A is either equal to or greater than B'.'A$B' means 'A is equal to B'.'A£B' means 'A is either equal to or smaller than B'.'A&B' means 'A is smaller than B'.'A@B' means 'A is greater than B'.Statements: M @ N, P @ R, P & NConclusions: I. P £ M   II. R & N
  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 the conclusions I and II are true.
 Discuss Question
Answer: Option B. -> if only conclusion II is true.


Combining all the three statements together, we get M > N > P > R. Therefore P ≤ M is not true, but R < N is true.


Question 63. In these questions, certain symbols have been used to indicate relationships between elements follows:'A*B' means 'A is either equal to or greater than B'.'A$B' means 'A is equal to B'.'A£B' means 'A is either equal to or smaller than B'.'A&B' means 'A is smaller than B'.'A@B' means 'A is greater than B'.Statements: T & K, K * B, S * KConclusions: I. B * T   II. S £ T
  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 the conclusions I and II are true.
 Discuss Question
Answer: Option D. -> if neither conclusion I nor II is true.


Combining I and III, we get S ≥ K > T. Therefore S ≤ T is not true. We have no information about the relationship between B and T.


Question 64. In these questions, certain symbols have been used to indicate relationships between elements follows:'A*B' means 'A is either equal to or greater than B'.'A$B' means 'A is equal to B'.'A£B' means 'A is either equal to or smaller than B'.'A&B' means 'A is smaller than B'.'A@B' means 'A is greater than B'.Statements: P @ R, M @ N, P & NConclusions: I. N @ R   II. P & M
  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 the conclusions I and II are true.
 Discuss Question
Answer: Option E. -> if both the conclusions I and II are true.


Combining all the three statements, we get M > N > P > R. Therefore N > R and P < M are true.


Question 65. In the following questions the symbols *, ×, $, @ and + are used with the following meaning:'P×Q' means 'P is neither smaller nor greater than Q'.'P@R' means 'P is neither equal to nor greater than Q'.'P*Q' means 'P is either equal to or smaller than Q'.'P+Q' means 'P is neither equal to nor smaller than Q'.Statements: D * F, F $ M, M @ KConclusions: I. F @ K   II. D @ K
  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 the conclusions I and II are true.
 Discuss Question
Answer: Option D. -> if neither conclusion I nor II is true.


-NA-


Question 66. In the following questions the symbols *, ×, $, @ and + are used with the following meaning:'P×Q' means 'P is neither smaller nor greater than Q'.'P@R' means 'P is neither equal to nor greater than Q'.'P*Q' means 'P is either equal to or smaller than Q'.'P+Q' means 'P is neither equal to nor smaller than Q'.Statements: K + M, M * R, R Ã— TConclusions; I. K + T   II. T + M
  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 the conclusions I and II are true.
 Discuss Question
Answer: Option B. -> if only conclusion II is true.


-NA-


Question 67. In the following questions the symbols *, ×, $, @ and + are used with the following meaning:'P×Q' means 'P is neither smaller nor greater than Q'.'P@R' means 'P is neither equal to nor greater than Q'.'P*Q' means 'P is either equal to or smaller than Q'.'P+Q' means 'P is neither equal to nor smaller than Q'.Statements: T @ M, M * R, R Ã— NConclusions: I. M Ã— N   II. M @ N
  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 the conclusions I and II are true.
 Discuss Question
Answer: Option C. -> if either conclusion I or II is true.


-NA-


Question 68. In the following questions the symbols *, ×, $, @ and + are used with the following meaning:'P×Q' means 'P is neither smaller nor greater than Q'.'P@R' means 'P is neither equal to nor greater than Q'.'P*Q' means 'P is either equal to or smaller than Q'.'P+Q' means 'P is neither equal to nor smaller than Q'.Statements: B $ N, N Ã— R, R + TConclusions: I. B $ R   II. T @ N
  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 the conclusions I and II are true.
 Discuss Question
Answer: Option E. -> if both the conclusions I and II are true.


-NA-


Question 69. In the following questions the symbols *, ×, $, @ and + are used with the following meaning:'P×Q' means 'P is neither smaller nor greater than Q'.'P@R' means 'P is neither equal to nor greater than Q'.'P*Q' means 'P is either equal to or smaller than Q'.'P+Q' means 'P is neither equal to nor smaller than Q'.Statements: N Ã— P, K + P, Q @ KConclusions; I. K + N  II. Q + N
  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 the conclusions I and II are true.
 Discuss Question
Answer: Option A. -> if only conclusion I is true.


-NA-


Question 70. 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: A + B, B $ C, C ? AConclusions: I. C $ A   II. B + C
  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 the conclusions I and II are true.
 Discuss Question
Answer: Option A. -> if only conclusion I is true.


A = B -- (i); B ≠ C -- (ii); C < A -- (iii)From (iii), conclusion I is true. II contradicts statement (ii). Hence it is not true.


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