Inequalities is one of the most important topics in the CMAT, and also it is an important section. One can utilize this article which consists of the most important questions regarding Inequalities. Cracku provides you with the Top 20 very Important Inequalities Questions for CMAT based on the questions asked in previous exam papers. Click on the link below to download the Inequalities Questions for CMAT PDF with detailed answers.<\/p>\n
Download Inequalities Questions for CMAT<\/a><\/p>\n Enroll to CMAT 2023 Crash Course<\/a><\/p>\n Instructions<\/b><\/p>\n For each of the following five questions, the prices of various items are shown by inequalities. The statement in each question is followed by 2 conclusions. Based on the information in the statement, which of the conclusions are implied?<\/p>\n Question 1:\u00a0<\/b>Statement $ Ketch up > Iodised salt \\geq Tomatoes \\geq Eggs $ and Oranges < Radish < Ketch up a)\u00a0Neither of the conclusion is implied.<\/p>\n b)\u00a0Conclusion 2 is implied but conclusion 1 is not<\/p>\n c)\u00a0Conclusion 1 is implied but conclusion 2 is not<\/p>\n d)\u00a0Both the conclusions are implied.<\/p>\n e)\u00a0Either conclusion 1 or conclusion 2 is implied but both are not.<\/p>\n 1)\u00a0Answer\u00a0(A)<\/strong><\/p>\n Solution:<\/b><\/p>\n Statement $ Ketch up > Iodised salt \\geq Tomatoes \\geq Eggs $ and Oranges < Radish < Ketch up<\/p>\n => $ oranges < radish < ketchup> iodized salt \\geq tomatoes \\geq eggs $<\/p>\n As there is no direct relation between oranges and tomatoes and between radishes and eggs, we cannot conclude either of the conclusions. Question 2:\u00a0<\/b>Cat < Lion < Ostrich = Otter = Dove $ \\geq $ Salmon > Yak a)\u00a0Neither of the conclusion is implied.<\/p>\n b)\u00a0Conclusion 2 is implied but conclusion 1 is not<\/p>\n c)\u00a0Conclusion 1 is implied but conclusion 2 is not<\/p>\n d)\u00a0Both the conclusions are implied.<\/p>\n e)\u00a0Either conclusion 1 or conclusion 2 is implied but both are not.<\/p>\n 2)\u00a0Answer\u00a0(D)<\/strong><\/p>\n Solution:<\/b><\/p>\n Cat < Lion < Ostrich = Otter = Dove $ \\geq $ Salmon > Yak<\/p>\n Hence, Ostrich > Yak and Cat < Dove. Question 3:\u00a0<\/b>$ Ketchup \\geq Lemons > Mango \\geq Neem $ a)\u00a0Neither of the conclusion is implied.<\/p>\n b)\u00a0Conclusion 2 is implied but conclusion 1 is not<\/p>\n c)\u00a0Conclusion 1 is implied but conclusion 2 is not<\/p>\n d)\u00a0Both the conclusions are implied.<\/p>\n e)\u00a0Either conclusion 1 or conclusion 2 is implied but both are not.<\/p>\n 3)\u00a0Answer\u00a0(B)<\/strong><\/p>\n Solution:<\/b><\/p>\n $ Ketchup \\geq Lemons > Mango \\geq Neem $<\/p>\n Hence, Ketchup > Neem Question 4:\u00a0<\/b>$ zebra \\geq yak = whale \\leq xray $ a)\u00a0Neither of the conclusion is implied.<\/p>\n b)\u00a0Conclusion 2 is implied but conclusion 1 is not<\/p>\n c)\u00a0Conclusion 1 is implied but conclusion 2 is not<\/p>\n d)\u00a0Both the conclusions are implied.<\/p>\n e)\u00a0Either conclusion 1 or conclusion 2 is implied but both are not.<\/p>\n 4)\u00a0Answer\u00a0(E)<\/strong><\/p>\n Solution:<\/b><\/p>\n $ zebra \\geq yak = whale \\leq xray $<\/p>\n Hence, $ whale \\leq zebra $ => whale = zebra or whale < zebra<\/p>\n So, either of the two conclusions are implied.<\/p>\n Question 5:\u00a0<\/b>Banana> apple> salmon, carrot > lemon > yak milk a)\u00a0Neither of the conclusion is implied.<\/p>\n b)\u00a0Conclusion 2 is implied but conclusion 1 is not<\/p>\n c)\u00a0Conclusion 1 is implied but conclusion 2 is not<\/p>\n d)\u00a0Both the conclusions are implied.<\/p>\n e)\u00a0Either conclusion 1 or conclusion 2 is implied but both are not.<\/p>\n 5)\u00a0Answer\u00a0(A)<\/strong><\/p>\n Solution:<\/b><\/p>\n Banana> apple> salmon and carrot > lemon > yak milk Instructions<\/b><\/p>\n In these questions, relationships between different elements is shown in the statements. The statements is followed by two conclusions. Study the conclusions based on the given statement and select the appropriate answer.<\/p>\n Question 6:\u00a0<\/b>Statement: K > I $ \\geq $ T $ \\geq $ E; O < R < K a)\u00a0Neither conclusion I nor II follows<\/p>\n b)\u00a0Both conclusions I and II follows<\/p>\n c)\u00a0Only conclusion II follows<\/p>\n d)\u00a0Either conclusion I or II follows<\/p>\n e)\u00a0Only conclusion I follows<\/p>\n 6)\u00a0Answer\u00a0(A)<\/strong><\/p>\n Solution:<\/b><\/p>\n According to the given inequalities, K is largest among all but nothing specific can be said about O,R,I,T and E. Hence, no conclusion can be drawn from the given information. So answer will be A<\/p>\n Question 7:\u00a0<\/b>Statement C < L < O = U = D $ \\geq $ S > Y a)\u00a0Neither conclusion I nor II follows<\/p>\n b)\u00a0Both conclusions I and II follows<\/p>\n c)\u00a0Only conclusion I follows<\/p>\n d)\u00a0Either conclusion II follows<\/p>\n e)\u00a0Only conclusion I or II follows<\/p>\n 7)\u00a0Answer\u00a0(B)<\/strong><\/p>\n Solution:<\/b><\/p>\n As it is given in statement 1 that O=U=D which is greater than S, Y, L and C hence, the conclusions O>Y and C<D can drawn from the given statements.<\/p>\n Hence, answer will be B<\/p>\n Question 8:\u00a0<\/b>Statement K $ \\geq $ L > M $ \\geq $ N a)\u00a0Both conclusions I and II follows<\/p>\n b)\u00a0Neither conclusion I nor II follows<\/p>\n c)\u00a0Either conclusion II or II follows<\/p>\n d)\u00a0Only conclusion I follows<\/p>\n e)\u00a0Only conclusion II follows<\/p>\n 8)\u00a0Answer\u00a0(E)<\/strong><\/p>\n Solution:<\/b><\/p>\n In conclusion 1, it is given that N<=K. That’s not possible as N is less than or equal to M which is absolutely less than K. Conclusion 2 is valid as it mentions that N < K. Hence, only conclusion 2 will follow.<\/p>\n Question 9:\u00a0<\/b>Statement: Z $ \\geq $ Y = W $ \\geq $ X a)\u00a0Only conclusion II follows<\/p>\n b)\u00a0Only conclusion I follows<\/p>\n c)\u00a0Neither conclusion I nor II follows<\/p>\n d)\u00a0Either conclusion I or II follows<\/p>\n e)\u00a0Both conclusions I and II follows<\/p>\n 9)\u00a0Answer\u00a0(D)<\/strong><\/p>\n Solution:<\/b><\/p>\n According to the given statement Z>= Y and Y=W So Z>=W<\/p>\n Hence, anyone of the conclusion might be followed. Hence, answer will be D<\/p>\n Question 10:\u00a0<\/b>Statement: B > A > S < I > C > L >Y a)\u00a0Only conclusion I follows<\/p>\n b)\u00a0Only conclusion II follows<\/p>\n c)\u00a0Either conclusion II or II follows<\/p>\n d)\u00a0Neither conclusion I nor II follows<\/p>\n e)\u00a0Both conclusions I and II follows<\/p>\n 10)\u00a0Answer\u00a0(D)<\/strong><\/p>\n Solution:<\/b><\/p>\n According to the given inequalities, nothing certain can be said about B, L and A, Y as no absolute measurement can be drawn from the given inequalities. Hence, answer will be D<\/p>\n Instructions<\/b><\/p>\n In these questions, the relationship between different elements is shown in the statements. The statements are followed by two conclusions. Give answer<\/p>\n Question 11:\u00a0<\/b>Statements: $F < R\\geq O=M\\leq T=K$ a)\u00a0if only conclusion I is true<\/p>\n b)\u00a0if only conclusion II is true<\/p>\n c)\u00a0if either conclusion I or II is true<\/p>\n d)\u00a0if neither conclusion I nor II is true<\/p>\n e)\u00a0if both conclusion I and II are true<\/p>\n 11)\u00a0Answer\u00a0(A)<\/strong><\/p>\n Solution:<\/b><\/p>\n T is greater than or equal to M. But T is equal to K. K is greater than or equal to M. O is equal to M. Option A is correct.<\/p>\n <\/p>\n Question 12:\u00a0<\/b>Statements: $G=N\\leq O\\geq P>Q=R$ a)\u00a0if only conclusion I is true<\/p>\n b)\u00a0if only conclusion II is true<\/p>\n c)\u00a0if either conclusion I or II is true<\/p>\n d)\u00a0if neither conclusion I nor II is true<\/p>\n e)\u00a0if both conclusion I and II are true<\/p>\n 12)\u00a0Answer\u00a0(A)<\/strong><\/p>\n Solution:<\/b><\/p>\n I. O >R. This is a correct coclusion because Q is greater than R. P is greater than Q while I is greater than or equal to R. Hence, O is greater than R. a)\u00a0if only conclusion I is true<\/p>\n b)\u00a0if only conclusion II is true<\/p>\n c)\u00a0if either conclusion I or II is true<\/p>\n d)\u00a0if neither conclusion I nor II is true<\/p>\n e)\u00a0if both conclusion I and II are true<\/p>\n 13)\u00a0Answer\u00a0(B)<\/strong><\/p>\n Solution:<\/b><\/p>\n No relation can be established between W and F as data provided is inadequate. a)\u00a0if only conclusion I is true<\/p>\n b)\u00a0if only conclusion II is true<\/p>\n c)\u00a0if either conclusion I or II is true<\/p>\n d)\u00a0if neither conclusion I nor II is true<\/p>\n e)\u00a0if both conclusion I and II are true<\/p>\n 14)\u00a0Answer\u00a0(D)<\/strong><\/p>\n Solution:<\/b><\/p>\n Conclusions: Hence, conclusions I and II do not follow. Question 15:\u00a0<\/b>Statements: $P>Q\\geq A<R=I$ a)\u00a0if only conclusion I is true<\/p>\n b)\u00a0if only conclusion II is true<\/p>\n c)\u00a0if either conclusion I or II is true<\/p>\n d)\u00a0if neither conclusion I nor II is true<\/p>\n e)\u00a0if both conclusion I and II are true<\/p>\n 15)\u00a0Answer\u00a0(E)<\/strong><\/p>\n Solution:<\/b><\/p>\n P is greater than Q which is greater than or equal to R. Hence, we can say that P is greater than R. R is greater than A but I and A are equal. Therefore, R is greater than I. Both I and II follow. Instructions<\/b><\/p>\n <p “=””>In each of the following questions, relationship between different elements is shown in the statements. The statements are followed by two conclusions numbered I and II. Study the conclusions based on the given statements and select the appropriate answer.<\/p>\n Give answer (a) if only Conclusion I is true Question 16:\u00a0<\/b>Statements a)\u00a0if only Conclusion I is true<\/p>\n b)\u00a0if neither Conclusion I nor Conclusion II is true<\/p>\n c)\u00a0if only Conclusion II is true<\/p>\n d)\u00a0if both Conclusion I and Conclusion II are true<\/p>\n e)\u00a0if either Conclusion I or Conclusion II is true<\/p>\n 16)\u00a0Answer\u00a0(A)<\/strong><\/p>\n Solution:<\/b><\/p>\n Statement\u00a0: M > A \u2265 B = Q \u2264 P < J \u2264 Y = Z \u2265 A > X<\/p>\n Conclusions:<\/p>\n I. B < Y : true Thus,\u00a0only Conclusion I is true.<\/p>\n => Ans – (A)<\/p>\n Question 17:\u00a0<\/b>Statements a)\u00a0if only Conclusion I is true<\/p>\n b)\u00a0if neither Conclusion I nor Conclusion II is true<\/p>\n c)\u00a0if only Conclusion II is true<\/p>\n d)\u00a0if both Conclusion I and Conclusion II are true<\/p>\n e)\u00a0if either Conclusion I or Conclusion II is true<\/p>\n 17)\u00a0Answer\u00a0(C)<\/strong><\/p>\n Solution:<\/b><\/p>\n Statement\u00a0:\u00a0M > A \u2265 B = Q \u2264 P < J \u2264 Y = Z \u2265 A > X<\/p>\n Conclusions\u00a0:<\/p>\n I. Z = Q : It cannot be true as J > P Thus, only conclusion II is true.<\/p>\n Hence, option C is the correct answer.<\/p>\n Question 18:\u00a0<\/b>Statements a)\u00a0if only Conclusion I is true<\/p>\n b)\u00a0if neither Conclusion I nor Conclusion II is true<\/p>\n c)\u00a0if only Conclusion II is true<\/p>\n d)\u00a0if both Conclusion I and Conclusion II are true<\/p>\n e)\u00a0if either Conclusion I or Conclusion II is true<\/p>\n 18)\u00a0Answer\u00a0(D)<\/strong><\/p>\n Solution:<\/b><\/p>\n Statements\u00a0:\u00a0G < R = A \u2264 S ; T < R<\/p>\n => $S\\geq R>G$ and $R>T$<\/p>\n Conclusions :<\/p>\n I. G < S = true Thus,\u00a0both Conclusion I and Conclusion II are true.<\/p>\n => Ans – (D)<\/p>\n Question 19:\u00a0<\/b>Statements a)\u00a0if only Conclusion I is true<\/p>\n b)\u00a0if neither Conclusion I nor Conclusion II is true<\/p>\n c)\u00a0if only Conclusion II is true<\/p>\n d)\u00a0if both Conclusion I and Conclusion II are true<\/p>\n e)\u00a0if either Conclusion I or Conclusion II is true<\/p>\n 19)\u00a0Answer\u00a0(B)<\/strong><\/p>\n Solution:<\/b><\/p>\n Statements :\u00a0P = U < M < K \u2264 I > N ; D \u2265 P ; I \u2265 C<\/p>\n Conclusions\u00a0:<\/p>\n I. M < C = false Thus,\u00a0neither Conclusion I nor Conclusion II is true.<\/p>\n => Ans – (B)<\/p>\n Question 20:\u00a0<\/b>Statements a)\u00a0if only Conclusion I is true<\/p>\n b)\u00a0if neither Conclusion I nor Conclusion II is true<\/p>\n c)\u00a0if only Conclusion II is true<\/p>\n d)\u00a0if both Conclusion I and Conclusion II are true<\/p>\n e)\u00a0if either Conclusion I or Conclusion II is true<\/p>\n 20)\u00a0Answer\u00a0(C)<\/strong><\/p>\n Solution:<\/b><\/p>\n Statements\u00a0:\u00a0P = U < M < K \u2264 I > N ; D \u2265 P ; I \u2265 C<\/p>\n Conclusions\u00a0:<\/p>\n I. D \u2265 K = false Thus,\u00a0only Conclusion II is true<\/p>\n => Ans – (C)<\/p>\n
\nConclusions 1) Radish < eggs 2) Oranges < Tomatoes<\/p>\n
\nSo, both the conclusions are false.<\/p>\n
\nConclusions 1) Ostrich > Yak 2) Cat < Dove<\/p>\n
\nSo, both the conclusions are implied.<\/p>\n
\nConclusions 1) $ Neem \\leq Ketch up $2) Neem < Ketchup<\/p>\n
\nSo, conclusion 2 is implied.<\/p>\n
\nconclusions 1) whale < zebra 2) whale = zebra<\/p>\n
\nconclusions 1) banana > lemon 2) apple > yak milk<\/p>\n
\nAs there is not direct link between the two, neither of the conclusions is implied.<\/p>\n
\nConclusions: I. R < E 2. O < T<\/p>\n
\nConclusions I. O > Y II. C<D<\/p>\n
\nConclusions I. N $ \\leq $ K II. N<K<\/p>\n
\nConclusions I. W<Z II. W=Z<\/p>\n
\nConclusions I. B>L II. A>Y<\/p>\n
\nConclusions: I. $K\\geq O$
\nII.F < M<\/p>\n
\nTherefore, K is greater than or equal to O.
\nHence, conclusion I follows.
\nWe cannot establish a relation between F and M even both are known to be less than F.
\nHence, this conclusion II does not follow.<\/p>\n
\nConclusions: I. O >R
\nII. $P\\leq G$<\/p>\n
\nII. $P\\leq G$. We cannot draw any conclusion between relationship of P with G.
\nOnly conclusion I follows.
\nQuestion 13:\u00a0<\/b>Statements: $F<O=L\\geq W=S$
\nConclusions: I. $W\\leq F$
\nII. $O\\geq S$<\/p>\n
\nL is greater than W. O is equal to L. Therfore, O is greater than W. W is equal to S.
\nHence, we can say that, O is greater than S.
\nOption B is correct option.
\nQuestion 14:\u00a0<\/b>Statements: $B=R\\geq T<O=P\\geq S$
\nConclusions: I. B < O
\nII. T < S<\/p>\n
\nI. B < O, we cannot establish any direct relationship between B and O as no such data is provided.
\nII. T < S, no relationship can be established between T and S as data provided is inadequate.<\/p>\n
\nTherefore, option D is correct.<\/p>\n
\nConclusions:
\nI. A < P
\nII. I > A<\/p>\n
\nHence, conclusion I follows.<\/p>\n
\nHence, conclusion II follows.<\/p>\n
\nOption E is correct.<\/p>\n
\nGive answer (b) if neither Conclusion I nor Conclusion II is true
\nGive answer (c) if only Conclusion II is true
\nGive answer (d) if both Conclusion I and Conclusion II are true
\nGive answer (e) if either Conclusion I or Conclusion II is true<\/p>\n
\nM > A \u2265 B = Q \u2264 P < J \u2264 Y = Z \u2265 A > X
\nConclusions:
\nI. B < Y
\nII. X \u2265 J<\/p>\n
\nII. X \u2265 J : false<\/p>\n
\nM > A \u2265 B = Q \u2264 P < J \u2264 Y = Z \u2265 A > X
\nConclusions
\nI. Z = Q
\nII. Z > Q<\/p>\n
\nII. Z > Q\u00a0: It is true<\/p>\n
\nG < R = A \u2264 S ; T < R
\nConclusions
\nI. G < S
\nII. S > T<\/p>\n
\nII. S > T = true<\/p>\n
\nP = U < M < K \u2264 I > N ; D \u2265 P ; I \u2265 C
\nConclusions
\nI. M < C
\nII. N > U<\/p>\n
\nII. N > U\u00a0= false<\/p>\n
\nP = U < M < K \u2264 I > N ; D \u2265 P ; I \u2265 C
\nConclusions
\nI. D \u2265 K
\nII. I > P<\/p>\n
\nII. I > P = true<\/p>\n