Reasoning Aptitude
MATHEMATICAL OPERATIONS MCQs
Total Questions : 233
| Page 17 of 24 pages
Question 161. In the questions 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 equal to B'.'A$B' means 'A is either smaller than or equal to B'.'A+B' means 'A is smaller than B'.Statements: E * F, G $ H, H # E, G @ KConclusions: I. H @ K II. H * F
Answer: Option E. -> if both the conclusions I and II are true.
E ≥ F -- (i); G ≤ H -- (ii); H = E -- (iii); G > K -- (iv)From (ii) and (iv), we get, H ≥ G > K => H > K. Hence, I is true.From (i) and (iii), we get, H = E ≥ F => H ≥ F.Hence, II is true.
Question 162. In the questions 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 equal to B'.'A$B' means 'A is either smaller than or equal to B'.'A+B' means 'A is smaller than B'.Statements: P $ Q, N # M, M @ R, R * PConclusions: !. P + N II Q $ M
Answer: Option A. -> if only conclusion I is true.
P ≤ Q -- (i); N = M -- (ii); M > R -- (iii); R ≥ P -- (iv)From (ii), (iii) and (iv), we get N = M > R ≥ P=> N > P or P < N. Hence, I is true.From (ii), (iv) and (i), we get, M > R ≥ P ≤ Q => No conclusion about the relationship between M and Q can be established.
Question 163. In the questions 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 equal to B'.'A$B' means 'A is either smaller than or equal to B'.'A+B' means 'A is smaller than B'.Statements: T * U, U $ W, V @ L, W + VConclusions: I. V @ T II. L @ W
Answer: Option D. -> if neither conclusion I nor II is true.
-NA-
Question 164. In the questions 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 equal to B'.'A$B' means 'A is either smaller than or equal to B'.'A+B' means 'A is smaller than B'.Statements: D + T, E $ V, F * T, E @ DConclusions: I. D $ V II. D + F
Answer: Option B. -> if only conclusion II is true.
-NA-
Answer: Option A. -> 90
Answer: Option C. -> 12
Answer: Option C. -> 12
Answer: Option C. -> 2
Answer: Option B. -> u = 1, v = 3/2
Question 170. In the following questions, symbols #, $, @, * and © are used with the following meaning as illustrated below:'P#Q' means 'P is not smaller than Q'.'P$Q' means 'P is neither smaller than nor greater than Q'.'P@Q' means 'P is neither greater than nor equal to Q'.'P*Q' means 'P is not greater than Q'.'P©Q' means 'P is neither smaller than nor equal to Q'.Statements: M © R, R @ K, K $ TConclusions: I. T © R II. T © M
Answer: Option A. -> if only conclusion I is true.
M > R -- (i); R > K -- (ii); K = T -- (iii)combining (ii) and (iii), we get:K = T > R=> T > R (conclusion I).On the basis of the given information no specific relation can be obtained between T and M. Hence T > M (conclusion II) is not true.