Download Inequalities Questions for XAT PDF \u2013 XAT Inequalities questions PDF by Cracku. Practice XAT solved Inequalities Questions paper tests, and these are the practice question to have a firm grasp on the Inequalities topic in the XAT exam. Top 20 very Important Inequalities Questions for XAT based on asked questions in previous exam papers. \u00a0The XAT question papers contain actual questions asked with answers and solutions.<\/p>\n
Download Inequalities Questions for XAT<\/a><\/p>\n Enroll to XAT 2023 Mocks & Sectionals <\/a><\/p>\n Instructions<\/b><\/p>\n Read the following informations and answer the given questions. Question 1:\u00a0<\/b>N?S,S@P ,P\u00a3M. a)\u00a0If only one conclusion I follow<\/p>\n b)\u00a0If only one conclusion II follow<\/p>\n c)\u00a0If either conclusion I or II follow<\/p>\n d)\u00a0If neither conclusion I or nor II follow<\/p>\n e)\u00a0If both conclusions follow<\/p>\n 1)\u00a0Answer\u00a0(D)<\/strong><\/p>\n Solution:<\/b><\/p>\n Statements : N < S ; S > P ; P $\\leq$ M<\/p>\n Conclusion :<\/p>\n I. S@M\u00a0: $S>M$\u00a0: false Thus,\u00a0neither conclusion I or nor II follow.<\/p>\n => Ans – (D)<\/p>\n Question 2:\u00a0<\/b>J\u00a9P, P$N ,J\u00a3H a)\u00a0If only one conclusion I follow<\/p>\n b)\u00a0If only one conclusion II follow<\/p>\n c)\u00a0If either conclusion I or II follow<\/p>\n d)\u00a0If neither conclusion I or nor II follow<\/p>\n e)\u00a0If both conclusions follow<\/p>\n 2)\u00a0Answer\u00a0(D)<\/strong><\/p>\n Solution:<\/b><\/p>\n Statements : J = P ; P $\\geq$ N ; J $\\leq$ H<\/p>\n Combining above statements, we get : $H\\geq J=P\\geq N$<\/p>\n Conclusion :<\/p>\n I. J\u00a9N\u00a0: $J=N$\u00a0: false Thus,\u00a0neither conclusion I or nor II follow.<\/p>\n => Ans – (D)<\/p>\n Question 3:\u00a0<\/b>Z@D,F\u00a9 D,F$G a)\u00a0If only one conclusion I follow<\/p>\n b)\u00a0If only one conclusion II follow<\/p>\n c)\u00a0If either conclusion I or II follow<\/p>\n d)\u00a0If neither conclusion I or nor II follow<\/p>\n e)\u00a0If both conclusions follow<\/p>\n 3)\u00a0Answer\u00a0(B)<\/strong><\/p>\n Solution:<\/b><\/p>\n Statements : Z > D ; F = D ; F $\\geq$\u00a0G<\/p>\n Combining above statements, we get : $Z>D=F\\geq G$<\/p>\n Conclusion :<\/p>\n I. D\u00a9G\u00a0: $D=G$ : false Thus,\u00a0only one conclusion II follow.<\/p>\n => Ans – (B)<\/p>\n Question 4:\u00a0<\/b>L@T,P?T,K$L a)\u00a0If only one conclusion I follow<\/p>\n b)\u00a0If only one conclusion II follow<\/p>\n c)\u00a0If either conclusion I or II follow<\/p>\n d)\u00a0If neither conclusion I or nor II follow<\/p>\n e)\u00a0If both conclusions follow<\/p>\n 4)\u00a0Answer\u00a0(E)<\/strong><\/p>\n Solution:<\/b><\/p>\n Statements : L > T ; P < T ; K $\\geq$ L<\/p>\n Combining above statements, we get : $K\\geq L>T>P$<\/p>\n Conclusion :<\/p>\n I. L@P : $L>P$\u00a0: true Thus,\u00a0both conclusions follow.<\/p>\n => Ans – (E)<\/p>\n Question 5:\u00a0<\/b>R\u00a9U,U?Q,W$R a)\u00a0If only one conclusion I follow<\/p>\n b)\u00a0If only one conclusion II follow<\/p>\n c)\u00a0If either conclusion I or II follow<\/p>\n d)\u00a0If neither conclusion I or nor II follow<\/p>\n e)\u00a0If both conclusions follow<\/p>\n 5)\u00a0Answer\u00a0(C)<\/strong><\/p>\n Solution:<\/b><\/p>\n Statements\u00a0: R = U ; U < Q ; W $\\geq$ R<\/p>\n Combining above statements, we get : $Q>U=R$ and $W\\geq R=U$<\/p>\n Conclusion :<\/p>\n I. W\u00a9U\u00a0: $W=U$\u00a0: may be true Thus,\u00a0either conclusion I or II follow.<\/p>\n => Ans – (C)<\/p>\n Take XAT 2023 Mock Tests<\/a><\/p>\n Instructions<\/b><\/p>\n These questions are based on the following information: Question 6:\u00a0<\/b>Marks by sujit in History (H) are 85% of this marks obtained in science(M).<\/p>\n a)\u00a0H= (100#85)\u2605M<\/p>\n b)\u00a0H=85\u2605100\u2605M<\/p>\n c)\u00a0H=85#100#M<\/p>\n d)\u00a0H=(85#100)\u2605M<\/p>\n e)\u00a0None of these<\/p>\n 6)\u00a0Answer\u00a0(D)<\/strong><\/p>\n Solution:<\/b><\/p>\n H = 85% of M<\/p>\n => $H = \\frac{85}{100} \\times M$<\/p>\n $\\therefore$ H = (85 # 100) \u2605 M<\/p>\n => Ans – (D)<\/p>\n Question 7:\u00a0<\/b>salary of Mr X (S1) is more than 40% of Mr .Y\u2019s salary(S2) BY Rs 8000.<\/p>\n a)\u00a0S1=[S2\u2605(40@100)]#8000<\/p>\n b)\u00a0S1=[S2\u2605(40#100)]@8000<\/p>\n c)\u00a0S2=[S1\u2605(40#100)]@8000<\/p>\n d)\u00a0S2=[S1\u2605(40@100)]#8000<\/p>\n e)\u00a0None of these<\/p>\n 7)\u00a0Answer\u00a0(B)<\/strong><\/p>\n Solution:<\/b><\/p>\n S1 = 40% of S2 + 8000<\/p>\n => $S1 = (\\frac{40}{100} \\times S2) + 8000$<\/p>\n => $S1 = (S2 \\times 40 \\div 100) + 8000$<\/p>\n $\\therefore$ S1 =\u00a0[S2 \u2605 (40 # 100)] @ 8000<\/p>\n => Ans – (B)<\/p>\n Question 8:\u00a0<\/b>Number of boys in (B) IN class is equal to one fourth of three times the number of girls (G) in the class<\/p>\n a)\u00a0B=(3#G)\u26054<\/p>\n b)\u00a0B=(3\u2605G)@4<\/p>\n c)\u00a0B=(3\u2605G)#4<\/p>\n d)\u00a0B=(3$G)#4<\/p>\n e)\u00a0None of these<\/p>\n 8)\u00a0Answer\u00a0(C)<\/strong><\/p>\n Solution:<\/b><\/p>\n B = $\\frac{1}{4} \\times 3 \\times$ G<\/p>\n => $B = (3 \\times G) \\div 4$<\/p>\n $\\therefore$\u00a0B = (3 \u2605 G) # 4<\/p>\n => Ans – (C)<\/p>\n Question 9:\u00a0<\/b>Population of state M(P1) is less than half of population of state of N(P2) by 1,50,000<\/p>\n a)\u00a0P2=(P1#2)$1,50,000<\/p>\n b)\u00a0P1=(P2#2)@1,50,000<\/p>\n c)\u00a0P1=(P2#2)$1,50,000<\/p>\n d)\u00a0P2=(P2#2)$1,50,000<\/p>\n e)\u00a0None of these<\/p>\n 9)\u00a0Answer\u00a0(C)<\/strong><\/p>\n Solution:<\/b><\/p>\n P1 = half of P2 – 1,50,000<\/p>\n => P1 = $\\frac{P2}{2}$ – 1,50,000<\/p>\n $\\therefore$\u00a0P1 = (P2 # 2) $ 1,50,000<\/p>\n => Ans – (C)<\/p>\n Question 10:\u00a0<\/b>Total age of 12 boys is X and the total age of the 13 girls is Y. What is the average age (A) of all the boys and girls together?<\/p>\n a)\u00a0A=(X@Y)#25<\/p>\n b)\u00a0A=(X$Y)#25<\/p>\n c)\u00a0A=(X@Y)\u260525<\/p>\n d)\u00a0Cannot be determined<\/p>\n e)\u00a0None of these<\/p>\n 10)\u00a0Answer\u00a0(A)<\/strong><\/p>\n Solution:<\/b><\/p>\n A = total age\/total students<\/p>\n => A = (X + Y) $\\div$ (12 + 13)<\/p>\n => A = (X + Y) $\\div$ 25<\/p>\n $\\therefore$\u00a0A = (X @ Y) # 25<\/p>\n => Ans – (A)<\/p>\n Instructions<\/b><\/p>\n In the following questions, the symbols @, #, %, $, * are used with different meanings as follows :<\/p>\n \u2018A @ B\u2019 means \u2018A is not smaller than B\u2019. Question 11:\u00a0<\/b>Statements: J#R,R\u00a9D ,D@F a)\u00a0If only one conclusion I follow<\/p>\n b)\u00a0If only one conclusion II follow<\/p>\n c)\u00a0If either conclusion I or II follow<\/p>\n d)\u00a0If neither conclusion I or nor II follow<\/p>\n e)\u00a0If both conclusions follow<\/p>\n 11)\u00a0Answer\u00a0(A)<\/strong><\/p>\n Solution:<\/b><\/p>\n Statements: J#R -> J $\\leq$ R<\/p>\n R\u00a9D -> R > D<\/p>\n D@F -> D $\\geq$ F<\/p>\n Combining above statements, we get\u00a0: $R > D \\geq F$<\/p>\n Conclusions: I: F$R -> F < R \u00a0 \u00a0 (TRUE)<\/p>\n II. F% R -> F = R \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (FALSE)<\/p>\n Thus, only conclusion I follows.<\/p>\n Question 12:\u00a0<\/b>Statements: L@K,K\u00a9A ,A$W a)\u00a0If only one conclusion I follow<\/p>\n b)\u00a0If only one conclusion II follow<\/p>\n c)\u00a0If either conclusion I or II follow<\/p>\n d)\u00a0If neither conclusion I or nor II follow<\/p>\n e)\u00a0If both conclusions follow<\/p>\n 12)\u00a0Answer\u00a0(D)<\/strong><\/p>\n Solution:<\/b><\/p>\n Statements\u00a0: L $\\geq$ K , K > A , A < W<\/p>\n After combining them\u00a0: L $\\geq$ K\u00a0> A < W<\/p>\n Conclusion I : W < L \u00a0 \u00a0 (FALSE)<\/p>\n II : L\u00a0$\\leq$ W \u00a0 \u00a0(FALSE)<\/p>\n Thus, none of the conclusion follows.<\/p>\n Question 13:\u00a0<\/b>Statements: N@J,J%R ,R\u00a9H a)\u00a0If only one conclusion I follow<\/p>\n b)\u00a0If only one conclusion II follow<\/p>\n c)\u00a0If either conclusion I or II follow<\/p>\n d)\u00a0If neither conclusion I or nor II follow<\/p>\n e)\u00a0If both conclusions follow<\/p>\n 13)\u00a0Answer\u00a0(E)<\/strong><\/p>\n Solution:<\/b><\/p>\n Statements\u00a0: N $\\geq$ J , J = R , R > H<\/p>\n After combining them\u00a0:\u00a0N $\\geq$ J = R > H<\/p>\n Conclusion I : R $\\leq$ N \u00a0 \u00a0 (True)<\/p>\n II : N > H \u00a0 \u00a0 (True)<\/p>\n Thus, both conclusion follows.<\/p>\n Question 14:\u00a0<\/b>Statements: H\u00a9M, M@E ,E$C a)\u00a0If only one conclusion I follow<\/p>\n b)\u00a0If only one conclusion II follow<\/p>\n c)\u00a0If either conclusion I or II follow<\/p>\n d)\u00a0If neither conclusion I or nor II follow<\/p>\n e)\u00a0If both conclusions follow<\/p>\n 14)\u00a0Answer\u00a0(B)<\/strong><\/p>\n Solution:<\/b><\/p>\n Statements\u00a0: H > M , M $\\geq$ E , E < C<\/p>\n After combining them\u00a0: H > M $\\geq$ E\u00a0< C<\/p>\n Conclusion I : C > M \u00a0 \u00a0 (False)<\/p>\n II : H > E \u00a0 \u00a0 (True)<\/p>\n Thus, only conclusion II follows.<\/p>\n Question 15:\u00a0<\/b>Statements: V$W,W@T ,T#H a)\u00a0If only one conclusion I follow<\/p>\n b)\u00a0If only one conclusion II follow<\/p>\n c)\u00a0If either conclusion I or II follow<\/p>\n d)\u00a0If neither conclusion I or nor II follow<\/p>\n e)\u00a0If both conclusions follow<\/p>\n 15)\u00a0Answer\u00a0(D)<\/strong><\/p>\n Solution:<\/b><\/p>\n Statements\u00a0: V < W , W $\\geq$ T , T $\\leq$ H<\/p>\n After combining them\u00a0:\u00a0V < W\u00a0$\\geq$ T\u00a0$\\leq$ H<\/p>\n Conclusion I : V > T \u00a0 \u00a0 (False)<\/p>\n II : H = W \u00a0 \u00a0 (False)<\/p>\n Thus, none of the conclusion follows.<\/p>\n Instructions<\/b><\/p>\n In the following questions, the symbols \u2206,\u2211, @, \u00a9 and # are used with the following meaning as illustrated below: Now in each of the following questions assuming the given statements to be true, find which of the two Conclusions I and II given below them is\/are definitely true? Question 16:\u00a0<\/b>Statements : 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 Conclusions I and II are true.<\/p>\n 16)\u00a0Answer\u00a0(B)<\/strong><\/p>\n Solution:<\/b><\/p>\n Statements\u00a0: Q < B , M = B , K $\\geq$ M<\/p>\n After combining them\u00a0:\u00a0K $\\geq$ M = B\u00a0> Q<\/p>\n Conclusion\u00a0I : K = B \u00a0 \u00a0 (False)<\/p>\n II : Q < K \u00a0 \u00a0 (True)<\/p>\n Thus, only conclusion II is true.<\/p>\n => Ans – (B)<\/p>\n Question 17:\u00a0<\/b>Statements : 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 Conclusions I and II are true.<\/p>\n 17)\u00a0Answer\u00a0(D)<\/strong><\/p>\n Solution:<\/b><\/p>\n Statements\u00a0: G $\\leq$ O , N = O , H > G<\/p>\n After combining them\u00a0: N = O $\\geq$ G\u00a0< H<\/p>\n Conclusion\u00a0I : O < H \u00a0 \u00a0 (False)<\/p>\n II : G = N \u00a0 \u00a0 (False)<\/p>\n Thus, neither conclusion I nor II is true.<\/p>\n => Ans – (D)<\/p>\n Question 18:\u00a0<\/b>Statements : 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 Conclusions I and II are true.<\/p>\n 18)\u00a0Answer\u00a0(E)<\/strong><\/p>\n Solution:<\/b><\/p>\n Statements\u00a0: J = R , P $\\geq$ R , Z > P<\/p>\n After combining them\u00a0: Z > P $\\geq$ R = J<\/p>\n Conclusion\u00a0I : R < Z \u00a0 \u00a0 (True)<\/p>\n II : J $\\leq$ P \u00a0 \u00a0 (True)<\/p>\n Thus, both conclusion I and II are true.<\/p>\n => Ans – (E)<\/p>\n Question 19:\u00a0<\/b>Statements : 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 Conclusions I and II are true.<\/p>\n 19)\u00a0Answer\u00a0(A)<\/strong><\/p>\n Solution:<\/b><\/p>\n Statements\u00a0: W $\\leq$ P , W > E , E < V<\/p>\n After combining them\u00a0: P $\\geq$ W > E < V<\/p>\n Conclusion\u00a0I : P > E \u00a0 \u00a0 (True)<\/p>\n II : V = W \u00a0 \u00a0 (False)<\/p>\n Thus, only conclusion I is true.<\/p>\n => Ans – (A)<\/p>\n Question 20:\u00a0<\/b>Statements : 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 Conclusions I and II are true.<\/p>\n 20)\u00a0Answer\u00a0(C)<\/strong><\/p>\n Solution:<\/b><\/p>\n Statements\u00a0: R $\\leq$ J , F $\\geq$ J , C $\\geq$ F<\/p>\n After combining them\u00a0: C $\\geq$ F $\\geq$ J $\\geq$ R<\/p>\n Conclusion\u00a0I : R = C<\/p>\n II : C > R<\/p>\n Because $C \\geq R$ Thus, either conclusion I or II is true.<\/p>\n => Ans – (C)<\/p>\n
\n1.\u2018P$Q\u2019 means \u2018P is either greater than or equal to Q\u2019
\n2.\u2018P@Q\u2019 means \u2018P is neither equal to nor smaller than Q\u2019
\n3.\u2018P\u00a9 Q\u2019 means \u2018P is neither smaller than nor greater than Q\u2019
\n4.\u2018P\u00a3Q means P is not greater than Q
\n5.\u2018P?Q\u2019 means \u2018P is neither greater than nor equal Q<\/p>\n
\nConclusion : I. S@M, II. P\u00a9N<\/p>\n
\nII. P\u00a9N\u00a0: $P=N$ : false<\/p>\n
\nConclusion : I. J\u00a9N, II. H@P<\/p>\n
\nII. H@P\u00a0: $H>P$ : false<\/p>\n
\nConclusion : I. D\u00a9G, II. Z@G<\/p>\n
\nII. Z@G\u00a0: $Z>G$ : true<\/p>\n
\nConclusion : I. L@P, II. K@T<\/p>\n
\nII. K@T\u00a0: $K>T$\u00a0: true<\/p>\n
\nConclusion : I. W\u00a9U, II. W@U<\/p>\n
\nII. W@U\u00a0: $W>U$\u00a0:\u00a0may be true<\/p>\n
\n\u2018A @B\u2019 means A is added to B
\n\u2018A\u2605B\u2019 MEANs A is multiplied by B
\n\u2018A#B\u2019 means A is divide by B
\n\u2018A$B\u2019 means B Is subtracted from A<\/p>\n
\n\u2018A # B\u2019 means \u2018A is not greater than B\u2019.
\n\u2018A % B\u2019 means \u2018A is neither greater than nor smaller than B\u2019.
\n\u2018A $ B\u201d means \u2018A is neither greater than nor equal to B\u2019.
\n\u2018A \u00a9B\u2019 means \u2018A is neither smaller than nor equal to B\u2019.
\nIn each of the following questions assuming the given statements to be true, find out which of the three conclusions I, II and III given below them is\/are definitely true.<\/p>\n
\nConclusions: I: F$R
\nII. F% R<\/p>\n
\nConclusions: I: W$L
\nII. L# W<\/p>\n
\nConclusions: I: R # N
\nII. N\u00a9H<\/p>\n
\nConclusions: I: C\u00a9M
\nII. H\u00a9E<\/p>\n
\nConclusions:\u00a0I. V\u00a9T
\nII. H%W<\/p>\n
\n`X \u2206 Y\u2019 means `X\u2019 is neither greater than nor equal to Y\u2019.
\n`X \u2211 Y\u2019 means \u2018X is not smaller than Y\u2019.
\n\u2018X @ Y\u2019 means \u2018X is not greater than Y\u2019.
\n\u2018X \u00a9 Y\u2019 means \u2018X is neither greater than nor smaller than Y\u2019.
\n\u2018X # Y\u2019 means \u2018X is neither smaller than nor equal to Y\u2019.<\/p>\n
\nGive answer a: If only Conclusion I is true.
\nGive answer b: if only Conclusion II is true
\nGive answer c: if either Conclusion I or II is true.
\nGive answer d: if neither Conclusion I nor II is true.
\nGive answer e: if both Conclusions I and II are true.<\/p>\n
\nQ \u2206 B,M \u00a9 B,K \u2211 M
\nConclusions :
\nI. K \u00a9 B
\nII. Q \u2206 K<\/p>\n
\nG @ O, N \u00a9O, H # G
\nConclusions :
\nI. O \u2206 H
\nII. G \u00a9 N<\/p>\n
\nJ \u00a9 R,P \u2211 R,Z # P
\nConclusions :
\nI. R \u2206 Z
\nII. J @ P<\/p>\n
\nW @ P, W # E, E \u2206 V
\nConclusions :
\nI. P # E
\nII. V \u00a9 W<\/p>\n
\nR @ J,F \u2211 J,C \u2211 F
\nConclusions:
\nI. R \u00a9 C
\nII. C # R<\/p>\n