Reasoning Aptitude
MATHEMATICAL OPERATIONS MCQs
Total Questions : 233
| Page 14 of 24 pages
Question 131. In the following given below, certain symbols are used with the following meanings:'P$Q' means 'P is neither equal to nor smaller than Q'.'P©Q' means 'P is not smaller than Q'.'P*Q' means 'P is neither greater nor smaller than Q'.'P#Q' means 'P is neither greater than nor equal to Q'.'P@Q' means 'P is not greater than Q'.Statements: E $ J, J # H, H © MConclusions: I. E $ M II. J $ M
Answer: Option D. -> if neither conclusion I nor II is true.
E > J -- (i); J < H -- (ii); H ≥ M -- (iii)No relation can be established between E and M or between J and M. Hence, conclusion I (E > M) and conclusion II (J > M) are not true.
Question 132. In the following given below, certain symbols are used with the following meanings:'P$Q' means 'P is neither equal to nor smaller than Q'.'P©Q' means 'P is not smaller than Q'.'P*Q' means 'P is neither greater nor smaller than Q'.'P#Q' means 'P is neither greater than nor equal to Q'.'P@Q' means 'P is not greater than Q'.Statements:
Answer: Option C. -> if either conclusion I or II is true.
F < K -- (i); K ≥ D -- (ii); N ≤ D -- (iii)Combining the equation (ii) and (iii), we get K ≥ D ≥ N => K ≥ N, i.e., K > N or K = N.Hence, either conclusion I or conclusion II is true.
Answer: Option B. -> 290
24 * 12 - 18 / 9 = 290
Question 134. In the following given below, certain symbols are used with the following meanings:'P$Q' means 'P is neither equal to nor smaller than Q'.'P©Q' means 'P is not smaller than Q'.'P*Q' means 'P is neither greater nor smaller than Q'.'P#Q' means 'P is neither greater than nor equal to Q'.'P@Q' means 'P is not greater than Q'.Statements: R © P, P $ M, M @ DConclusions: I. D $ R II. M # R
Answer: Option B. -> if only conclusion II is true.
R ≥ P -- (i); P > M -- (ii); M ≤ D -- (iii)Combining (i) and (ii), we get R > M. Hence, conclusion II (M < R) is true. But we can't be get any specific relation between D and R. Therefore conclusion I is not true.
Question 135. In the following questions, the symbols $, ©, *, @ and # are used with the following meanings:'P$Q' means 'P is not smaller than Q'.'P©Q' means 'P is neither greater than nor 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'.Statements: Z $ K, K * T, T © FConclusions: I. F # Z II. Z * T
Answer: Option D. -> if neither conclusion I nor II is true.
-NA-
Question 136. In the following questions, the symbols $, ©, *, @ and # are used with the following meanings:'P$Q' means 'P is not smaller than Q'.'P©Q' means 'P is neither greater than nor 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'.Statements: S $ T, T @ R, R # MConclusions: I. M * T II. M © T
Answer: Option A. -> if only conclusion I is true.
S ≥ T -- (i); T ≤ R -- (ii); R < M -- (iii)From (ii) and (iii), we get T ≤ R < M => T < M or M > T. Hence either I or II is true.
Question 137. In the following questions, the symbols $, ©, *, @ and # are used with the following meanings:'P$Q' means 'P is not smaller than Q'.'P©Q' means 'P is neither greater than nor 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'.Statements: K * B, B @ D, D # KConclusions: I. B @ K II. B # K
Answer: Option B. -> if only conclusion II is true.
K > B -- (i); B ≤ D -- (ii); D < K -- (iii)From (i) B ≤ K. Hence II is true but I is not true.
Question 138. In the following questions, the symbols $, ©, *, @ and # are used with the following meanings:'P$Q' means 'P is not smaller than Q'.'P©Q' means 'P is neither greater than nor 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'.Statements: N © R, R@ M, M $ JConclusions; I. N © M II. N # M
Answer: Option C. -> if either conclusion I or II is true.
N = R -- (i); R ≤ M -- (ii); M ≥ J -- (iii)From (i) and (ii), we get N = R ≤ M => N ≤ M.Hence, I is true and II is not true.
Question 139. In the following questions, the symbols $, ©, *, @ and # are used with the following meanings:'P$Q' means 'P is not smaller than Q'.'P©Q' means 'P is neither greater than nor 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'.Statements: H @ V, V © M, M * RConclusions; I. R * H II. H * R
Answer: Option D. -> if neither conclusion I nor II is true.
H ≤ V -- (i); V = M -- (ii); M > R -- (iii)Combining all, we get H ≤ V = M > R => no relationship between H and R can be established. Since, conclusion I and II are not exhaustive, neither of them is true.
Question 140. In the following questions the symbols $, @, *, # and > are used with the following meanings:'A$B' means 'A is greater than B'.'A@B' means 'A is either greater than or equal to B'.'A*B' means 'A is equal to B'.'A # B' means 'A is smaller than B'.'A?B' means 'A is either smaller than or equal to B'.Statements: M # N, T # U, N # UConclusions: I. M ? T II. T $ N
Answer: Option B. -> if only conclusion II is true.
M < N -- (i); T > U -- (ii); N < U -- (iii)Combining these, we get M < N < U < THence, M < T and T > N.
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