Reasoning Aptitude
MATHEMATICAL OPERATIONS MCQs
Total Questions : 233
| Page 12 of 24 pages
Question 111. In the following questions, the symbols @, #, $, % and © are used with the following meaning as illustrated below:'P$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 not equal to Q'.'P©Q' means 'P is not smaller than Q'.'P#Q' means 'P is neither greater than nor smaller than Q'.Now in each of the following questions assuming the given statements to be true, find which of the three conclusions I, II and III given below them is are definitely true.Statements: H % B, M © B, K # MConclusions: I. K @ H II. B # K III. K @ B
Answer: Option D. -> Only either II or III and I follows
H < B -- (i) M ≥ B -- (ii) K + M -- (iii)combining (ii) and (iii), we get:K = M ≥ B => K ≥ B. Hence, neither conclusion II (B = K) or conclusion III (K > B) is true. But, both conclusion I and II together make a complementary pair. Hence, either conclusion II (B = K) or conclusion III (K > B) is true.Again combining all (i), (ii) and (iii) we get K = M ≥ B > H => K > H (conclusion I). Hence conclusion I (K > H) is true.
Question 112. In the following questions, the symbols @, #, $, % and © are used with the following meaning as illustrated below:'P$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 not equal to Q'.'P©Q' means 'P is not smaller than Q'.'P#Q' means 'P is neither greater than nor smaller than Q'.Now in each of the following questions assuming the given statements to be true, find which of the three conclusions I, II and III given below them is are definitely true.Statements: V © M, N % V, J @ NConclusions: I. J @ M II. M @ N III. V @ J
Answer: Option A. -> None follows
V ≥ M -- (i) N < V -- (ii) J > N -- (iii)From (i) and (ii), no specific relation between M and N can be established. Hence, conclusion II (M > N) is not necessarily true.Again, from (i), (ii) and (iii), no specific relation between V and J can be established. Hence, conclusion III (V > J) is not necessarily true.
Question 113. In the following questions, the symbols @, #, $, % and © are used with the following meaning as illustrated below:'P$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 not equal to Q'.'P©Q' means 'P is not smaller than Q'.'P#Q' means 'P is neither greater than nor smaller than Q'.Now in each of the following questions assuming the given statements to be true, find which of the three conclusions I, II and III given below them is are definitely true.Statements: D © N, N # V, W $ VConclusions: I. D # W II. W % D III. V #
Answer: Option B. -> Only either I or II follows
D ≥ N -- (i) N = V -- (ii) W ≤ V -- (iii)combining (i) and (ii), we get:D ≥ N = V => D ≥ N. Hence, conclusion III (V = D) is not necessary true.Again, combining all (i), (ii) and (iii), we getD ≥ N = V ≥ W => D ≥ W. Hence, neither conclusion I (D = W) or conclusion II (W < D) is true. But both conclusion I (D = W) and conclusion II (W
Question 114. In the following questions, the symbols @, #, $, % and © are used with the following meaning as illustrated below:'P$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 not equal to Q'.'P©Q' means 'P is not smaller than Q'.'P#Q' means 'P is neither greater than nor smaller than Q'.Now in each of the following questions assuming the given statements to be true, find which of the three conclusions I, II and III given below them is are definitely true.Statements: T # R, R $ W, W % HConclusions: I. H @ R II. H @ T III. H © T
Answer: Option C. -> Only I and II follows
T = R -- (i) R < W -- (ii) W < H -- (iii)combining (ii) and (iii), we getH > W ≥ R => H > T (conclusion II). Hence, conclusion II (H ≥ T) is true but conclusion III (H ≥ T) is not true.
Answer: Option D. -> 52
1 8 B 1 2 P 4 M 8 Q 6 = 18 * 12 ÷ 4 - 8 + 6 = 52
Question 116. In these questions, the symbols @, *, $, # and % are used with the following meanings as illustrated below:'P@Q' means 'P is not smaller than Q'.'P#Q' means 'P is not greater than q'.'P%Q' means 'P is neither smaller than nor greater than Q'.'P$Q' means 'P is neither smaller than nor equal to Q'.Statements: V # D, D * K, F $ KConclusions: I. D @ F II. V @ F
Answer: Option A. -> if only conclusion I is true.
V ≥ D, D ≤ K, F > K=> D ≥ K < F => D < F=> D ≥ F => D @ F
Question 117. In these questions, the symbols @, *, $, # and % are used with the following meanings as illustrated below:'P@Q' means 'P is not smaller than Q'.'P#Q' means 'P is not greater than q'.'P%Q' means 'P is neither smaller than nor greater than Q'.'P$Q' means 'P is neither smaller than nor equal to Q'.Statements: T % B, M * B, J # BConclusions: I. T % M II. T % J
Answer: Option D. -> if neither conclusion I nor II is true.
T = B, M ≤ Q, J ≥ B=> T ≤ J, M ≤ Q
Question 118. In these questions, the symbols @, *, $, # and % are used with the following meanings as illustrated below:'P@Q' means 'P is not smaller than Q'.'P#Q' means 'P is not greater than q'.'P%Q' means 'P is neither smaller than nor greater than Q'.'P$Q' means 'P is neither smaller than nor equal to Q'.Statements: W # D, D % M, M * FConclusions: I. D @ F II. F % D
Answer: Option C. -> if either conclusion I or II is true.
W ≥ D, D = M, M ≤ F=> D ≤ F => D L F or D = F=> D ≥ F or D = F=> D @ F or D % F
Question 119. In these questions, the symbols @, *, $, # and % are used with the following meanings as illustrated below:'P@Q' means 'P is not smaller than Q'.'P#Q' means 'P is not greater than q'.'P%Q' means 'P is neither smaller than nor greater than Q'.'P$Q' means 'P is neither smaller than nor equal to Q'.Statements: H * R, R $ N, N @ KConclusions: I. H @ K II. K $ R
Answer: Option D. -> if neither conclusion I nor II is true.
-NA-
Question 120. In these questions, the symbols @, *, $, # and % are used with the following meanings as illustrated below:'P@Q' means 'P is not smaller than Q'.'P#Q' means 'P is not greater than q'.'P%Q' means 'P is neither smaller than nor greater than Q'.'P$Q' means 'P is neither smaller than nor equal to Q'.Statements: M * J, K $ J, K @ TConclusions: I. T $ M II. J @ T
Answer: Option E. -> if both the conclusions I and II are true.
M ≤ J, K > J, K < T=> M ≤ J < K < T => M < T=> T > M => T ≤ M => T $ MAlso J < T => J ≥ T => J @ T
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