Seating Arrangements and Logical Puzzles Competitive Exams
50 questions · IQ Logic and Reasoning
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Question 1 of 50
Three friends A, B and C have 33 apples in all. A has 3 more apples than B. B has twice as many apples as C. Who has the fewest apples?
ExplanationC has 6, B has 12 and A has 15, so C has the fewest.
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Question 2 of 50
Seven persons P, Q, R, S, T, U and V attend a workshop on seven different days from Monday to Sunday, one person per day. Q attends two days after P. R attends on Saturday. T attends the day before R. U attends on Monday and V attends on Sunday. On which day does Q attend?
ExplanationRead Q's day from the order. R is on Saturday, T on Friday, U on Monday and V on Sunday. P, Q and S fill Tuesday to Thursday. Q is two days after P, so P is on Tuesday and Q on Thursday, leaving S on Wednesday. Order: Monday – U, Tuesday – P, Wednesday – S, Thursday – Q, Friday – T, Saturday – R, Sunday – V.
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Question 3 of 50
Seven persons G, H, I, J, K, L and M sit in a row facing north. K sits exactly in the middle. M sits second to the left of K. G sits immediately to the right of M. J sits at the extreme right and L sits immediately to the left of J. H sits at the extreme left. Who sits between G and I?
ExplanationOnly one seat lies between G and I. K is in seat 4, M in seat 2 and G in seat 3. J is in seat 7, L in seat 6 and H in seat 1, leaving I in seat 5. Final order from left to right: H, M, G, K, I, L, J.
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Question 4 of 50
Six persons A, B, C, D, E and F sit around a circular table facing the centre. E sits opposite D. A sits immediately to the left of D. F sits second to the right of A. C is an immediate neighbour of both E and F. (Facing the centre, left is clockwise and right is anticlockwise.) Who sits between A and E?
ExplanationThe person who neighbours both A and E sits between them. With D at seat 0: A is at 1, E at 3 (opposite D) and F at 5 (second to the right of A). C neighbours both E and F, so C is at 4. B takes seat 2. Clockwise order starting from A: A, B, E, C, F, D.
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Question 5 of 50
Five friends P, Q, R, S and T were born in five different months out of January, March, May, July and September, one in each. R was born after P but before T. S was born before P. Q was born after T. Who was born in May?
ExplanationMay is the third of the five months. S < P < R < T < Q gives the order from the earliest month to the latest. Order: January – S, March – P, May – R, July – T, September – Q.
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Question 6 of 50
Four friends Hina, Iram, Jaweria and Kinza each like a different colour among Red, Blue, Green and Yellow. Iram likes Blue. Hina likes neither Red nor Yellow. Kinza does not like Red. Which colour does Kinza like?
ExplanationBlue is Iram's and Green is Hina's. Kinza does not like Red, so Kinza likes Yellow.
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Question 7 of 50
Seven persons P, Q, R, S, T, U and V attend a workshop on seven different days from Monday to Sunday, one person per day. Q attends two days after P. R attends on Saturday. T attends the day before R. U attends on Monday and V attends on Sunday. Who attends on Wednesday?
ExplanationWednesday is the third day. R is on Saturday, T on Friday, U on Monday and V on Sunday. P, Q and S fill Tuesday to Thursday. Q is two days after P, so P is on Tuesday and Q on Thursday, leaving S on Wednesday. Order: Monday – U, Tuesday – P, Wednesday – S, Thursday – Q, Friday – T, Saturday – R, Sunday – V.
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Question 8 of 50
Five friends P, Q, R, S and T were born in five different months out of January, March, May, July and September, one in each. R was born after P but before T. S was born before P. Q was born after T. Who was born in the month just before Q's?
ExplanationLook at the person just before Q in the order. S < P < R < T < Q gives the order from the earliest month to the latest. Order: January – S, March – P, May – R, July – T, September – Q.
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Question 9 of 50
Five boys V, W, X, Y and Z sit in a row facing north. X does not sit at either end. W sits to the left of X. Y sits to the right of X but not next to X. V sits immediately to the left of Z. Who sits at the extreme right?
ExplanationThe extreme right is seat 5. X cannot be in seat 3, because the remaining seats then cannot hold V and Z side by side, and X cannot be in seat 4, because Y would have no seat to its right. So X is in seat 2 and W in seat 1. Y must be at least two seats right of X, and V and Z must sit together, which gives V in seat 3, Z in seat 4 and Y in seat 5. Final order from left to right: W, X, V, Z, Y.
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Question 10 of 50
Five persons M, N, O, P and Q sit around a circular table facing the centre. O sits immediately to the left of N. M is not an immediate neighbour of N. P is an immediate neighbour of both M and O. (Facing the centre, left is clockwise and right is anticlockwise.) Who is the immediate neighbour of both M and N?
ExplanationOnly one person sits next to both M and N. With N at seat 0, O is at 1. P must neighbour O, so P is at 2 (seat 0 is N). M must neighbour P and not N, so M is at 3, and Q is at 4. Clockwise order starting from M: M, Q, N, O, P.
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Question 11 of 50
Six friends Ali, Bilal, Chand, Danish, Ejaz and Faisal sit in a row facing north. Ali sits at the extreme left. Bilal sits second to the right of Ali. Chand sits immediately to the right of Bilal. Danish sits at the extreme right. Ejaz does not sit next to Ali. Who sits between Ali and Bilal?
ExplanationOnly seat 2 lies between them. Ali is in seat 1, Bilal in seat 3, Chand in seat 4 and Danish in seat 6. Ejaz and Faisal take seats 2 and 5; Ejaz cannot be next to Ali, so Ejaz is in seat 5 and Faisal in seat 2. Final order from left to right: Ali, Faisal, Bilal, Chand, Ejaz, Danish.
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Question 12 of 50
Six persons A, B, C, D, E and F sit around a circular table facing the centre. B sits opposite A. C sits immediately to the right of A. D sits second to the left of A. E sits immediately to the left of A. (Facing the centre, a person's left is clockwise and right is anticlockwise.) Who sits opposite C?
ExplanationOpposite a seat in a six-seat table is three seats away. Take A as the starting seat. C is one seat anticlockwise of A, E one seat clockwise, D two seats clockwise and B is opposite, three seats away. F takes the remaining seat. Clockwise order starting from A: A, E, D, B, F, C.
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Question 13 of 50
Six persons A, B, C, D, E and F sit in a row facing north. F sits at the extreme left. B sits third to the right of F. D sits immediately to the right of B. E sits at the extreme right. A does not sit next to F. Who sits between F and A?
ExplanationOnly one seat lies between F and A. F is in seat 1, B in seat 4, D in seat 5 and E in seat 6. A and C take seats 2 and 3; A cannot be next to F, so A is in seat 3 and C in seat 2. Final order from left to right: F, C, A, B, D, E.
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Question 14 of 50
Four friends Hina, Iram, Jaweria and Kinza each like a different colour among Red, Blue, Green and Yellow. Iram likes Blue. Hina likes neither Red nor Yellow. Kinza does not like Red. Who likes Red?
ExplanationHina cannot like Red, Yellow or Blue (Iram's), so Hina likes Green. Kinza cannot like Red, so Kinza likes Yellow and Jaweria likes Red.
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Question 15 of 50
Five subjects Math, Physics, Chemistry, Biology and English are taught on five different days from Monday to Friday, one subject per day. English is taught on Monday. Math is not taught on Monday or Friday. Biology is taught two days after Math. Chemistry is taught after Physics, and Chemistry is taught on Friday. How many subjects are taught between English and Chemistry?
ExplanationTuesday, Wednesday and Thursday lie between Monday and Friday. English is on Monday and Chemistry on Friday. If Math were on Wednesday, Biology would fall on Friday, which is Chemistry's day. So Math is on Tuesday and Biology on Thursday, leaving Physics for Wednesday. Order: Monday – English, Tuesday – Math, Wednesday – Physics, Thursday – Biology, Friday – Chemistry.
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Question 16 of 50
Ali, Bilal and Chand are a doctor, an engineer and a teacher (not necessarily in that order) and live in Lahore, Karachi and Multan, one in each city. The doctor lives in Lahore. Ali is not an engineer. Bilal lives in Karachi. Chand is not a teacher. The engineer does not live in Multan. What is Ali's profession?
ExplanationThe engineer cannot live in Multan or in Lahore (the doctor's city), so the engineer lives in Karachi and is Bilal. Chand is not a teacher, so Chand is the doctor and Ali is the teacher.
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Question 17 of 50
Five persons M, N, O, P and Q sit around a circular table facing the centre. O sits immediately to the left of N. M is not an immediate neighbour of N. P is an immediate neighbour of both M and O. (Facing the centre, left is clockwise and right is anticlockwise.) Who sits immediately to the right of N?
ExplanationRight is anticlockwise, so look one seat anticlockwise from N. With N at seat 0, O is at 1. P must neighbour O, so P is at 2 (seat 0 is N). M must neighbour P and not N, so M is at 3, and Q is at 4. Clockwise order starting from M: M, Q, N, O, P.
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Question 18 of 50
Five friends P, Q, R, S and T sit in a row facing north. Q sits immediately to the right of P. S sits at the extreme right end. R sits between Q and S, immediately to the left of S. T does not sit at either end. Who sits in the middle?
ExplanationThe middle is seat 3. S is at the right end and R is just left of S, so R is fourth. T cannot be at an end, and P and Q are adjacent with P on the left, so they take seats 1 and 2, leaving T in seat 3. Final order from left to right: P, Q, T, R, S.
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Question 19 of 50
Two persons A and B are such that each is either always honest or always a liar. A says, 'B is a liar.' B says, 'A and I are both honest.' Who is honest?
ExplanationIf A were a liar, B would be honest, and B's claim that both are honest would then be false, a contradiction. So A is honest, which makes B a liar.
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Question 20 of 50
Seven persons G, H, I, J, K, L and M sit in a row facing north. K sits exactly in the middle. M sits second to the left of K. G sits immediately to the right of M. J sits at the extreme right and L sits immediately to the left of J. H sits at the extreme left. Who sits third to the right of M?
ExplanationCount three seats to the right of M. K is in seat 4, M in seat 2 and G in seat 3. J is in seat 7, L in seat 6 and H in seat 1, leaving I in seat 5. Final order from left to right: H, M, G, K, I, L, J.
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Question 21 of 50
Six students Ali, Bilal, Chand, Danish, Ejaz and Faisal scored different marks in a test. Ali scored more than Bilal but less than Chand. Danish scored less than Bilal but more than Ejaz. Faisal scored the highest. How many students scored less than Chand?
ExplanationEveryone ranked below Chand scored less. Chand > Ali > Bilal > Danish > Ejaz, and Faisal is above all of them. Order from the highest score to the lowest: Faisal, Chand, Ali, Bilal, Danish, Ejaz.
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Question 22 of 50
Ali, Bilal and Chand are a doctor, an engineer and a teacher (not necessarily in that order) and live in Lahore, Karachi and Multan, one in each city. The doctor lives in Lahore. Ali is not an engineer. Bilal lives in Karachi. Chand is not a teacher. The engineer does not live in Multan. In which city does Chand live?
ExplanationChand is the doctor and the doctor lives in Lahore.
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Question 23 of 50
Three persons X, Y and Z are each either always truthful or always lying. X says, 'Y is lying.' Y says, 'Z is lying.' Z says, 'X and Y are both lying.' Who tells the truth?
ExplanationSuppose X is truthful: then Y lies, so Z is truthful, but Z says X lies, a contradiction. So X lies, hence Y is truthful, hence Z lies. Only Y tells the truth.
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Question 24 of 50
Seven persons A, B, C, D, E, F and G sit around a circular table facing the centre. A sits second to the right of B. C sits immediately to the left of B. D sits immediately to the right of A. E sits immediately to the left of C. G is an immediate neighbour of B. (Facing the centre, left is clockwise and right is anticlockwise.) Who sits between A and B?
ExplanationThe person who is a neighbour of both A and B sits between them. With B at seat 0: C is at 1, A at 5 (second to the right), D at 4, E at 2. G must be a neighbour of B, and seat 1 is taken, so G is at 6. F takes seat 3. Clockwise order starting from A: A, G, B, C, E, F, D.
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Question 25 of 50
Eight persons P, Q, R, S, T, U, V and W sit around a circular table facing the centre. T sits opposite P. Q sits immediately to the right of P. R sits second to the left of P. V sits immediately to the left of P. S sits opposite Q. W sits immediately to the right of Q. (Facing the centre, left is clockwise and right is anticlockwise.) Who sits opposite U?
ExplanationOpposite a seat in an eight-seat table is four seats away. Place P at seat 0 and go clockwise: V is at 1, R at 2, T at 4, Q at 7 (immediately to the right of P), S opposite Q at 3 and W at 6. U takes the remaining seat 5. Clockwise order starting from P: P, V, R, S, T, U, W, Q.
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Question 26 of 50
Five persons A, B, C, D and E visit a doctor on five different days from Monday to Friday, one person per day. C visits on Wednesday. A visits the day before C. B visits the day after C. D visits before A. How many persons visit between A and E?
ExplanationA is on Tuesday and E on Friday; Wednesday and Thursday lie between. C is on Wednesday, A on Tuesday and B on Thursday. D must come before A, so D is on Monday, leaving E for Friday. Order: Monday – D, Tuesday – A, Wednesday – C, Thursday – B, Friday – E.
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Question 27 of 50
Four friends A, B, C and D took a test. A scored 10 marks more than B. B scored 5 marks less than C. D scored 15 marks more than C. How many more marks did D score than A?
ExplanationD − A = (x + 15) − (x + 5) = 10.
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Question 28 of 50
Two persons A and B are such that each is either always honest or always a liar. A says, 'B is a liar.' B says, 'A and I are both honest.' Who is the liar?
ExplanationA is honest and says B is a liar, so B is the liar. B's own claim that both are honest is indeed false.
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Question 29 of 50
Five boys V, W, X, Y and Z sit in a row facing north. X does not sit at either end. W sits to the left of X. Y sits to the right of X but not next to X. V sits immediately to the left of Z. Who sits in the middle?
ExplanationThe middle is seat 3. X cannot be in seat 3, because the remaining seats then cannot hold V and Z side by side, and X cannot be in seat 4, because Y would have no seat to its right. So X is in seat 2 and W in seat 1. Y must be at least two seats right of X, and V and Z must sit together, which gives V in seat 3, Z in seat 4 and Y in seat 5. Final order from left to right: W, X, V, Z, Y.
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Question 30 of 50
Five persons P, Q, R, S and T are of different heights. P is taller than Q but shorter than R. S is shorter than Q. T is taller than R. Who is the shortest?
ExplanationThe last in the order from tallest. T > R > P > Q > S follows by chaining the statements. Order from tallest to shortest: T, R, P, Q, S.
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Question 31 of 50
Seven persons A, B, C, D, E, F and G sit around a circular table facing the centre. A sits second to the right of B. C sits immediately to the left of B. D sits immediately to the right of A. E sits immediately to the left of C. G is an immediate neighbour of B. (Facing the centre, left is clockwise and right is anticlockwise.) Who sits second to the left of C?
ExplanationCount two seats clockwise from C. With B at seat 0: C is at 1, A at 5 (second to the right), D at 4, E at 2. G must be a neighbour of B, and seat 1 is taken, so G is at 6. F takes seat 3. Clockwise order starting from A: A, G, B, C, E, F, D.
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Question 32 of 50
Eight persons P, Q, R, S, T, U, V and W sit around a circular table facing the centre. T sits opposite P. Q sits immediately to the right of P. R sits second to the left of P. V sits immediately to the left of P. S sits opposite Q. W sits immediately to the right of Q. (Facing the centre, left is clockwise and right is anticlockwise.) Who sits third to the left of S?
ExplanationCount three seats clockwise from S. Place P at seat 0 and go clockwise: V is at 1, R at 2, T at 4, Q at 7 (immediately to the right of P), S opposite Q at 3 and W at 6. U takes the remaining seat 5. Clockwise order starting from P: P, V, R, S, T, U, W, Q.
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Question 33 of 50
Four friends A, B, C and D took a test. A scored 10 marks more than B. B scored 5 marks less than C. D scored 15 marks more than C. Who scored the highest?
ExplanationTaking C = x, B = x − 5, A = x + 5 and D = x + 15. So D is the highest.
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Question 34 of 50
Six persons A, B, C, D, E and F live on different floors of a six-storey building. The ground floor is floor 1 and the top floor is floor 6. A lives on floor 2. B lives immediately above A. D lives two floors above B. C lives above D. E lives below A. Who lives on the 4th floor?
ExplanationFloor 4 is the fourth position from the bottom. A is on floor 2, B on floor 3 and D on floor 5. C lives above D, so C is on floor 6. E lives below A, so E is on floor 1, and F is on floor 4. Floors from 1 to 6: E, A, B, F, D, C.
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Question 35 of 50
Six persons A, B, C, D, E and F sit in a row facing north. F sits at the extreme left. B sits third to the right of F. D sits immediately to the right of B. E sits at the extreme right. A does not sit next to F. How many persons sit between C and D?
ExplanationCount the seats between C and D. F is in seat 1, B in seat 4, D in seat 5 and E in seat 6. A and C take seats 2 and 3; A cannot be next to F, so A is in seat 3 and C in seat 2. Final order from left to right: F, C, A, B, D, E.
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Question 36 of 50
Six persons A, B, C, D, E and F sit around a circular table facing the centre. B sits opposite A. C sits immediately to the right of A. D sits second to the left of A. E sits immediately to the left of A. (Facing the centre, a person's left is clockwise and right is anticlockwise.) Who is the immediate neighbour of both D and F?
ExplanationCheck the neighbours of D and F; only one person is common. Take A as the starting seat. C is one seat anticlockwise of A, E one seat clockwise, D two seats clockwise and B is opposite, three seats away. F takes the remaining seat. Clockwise order starting from A: A, E, D, B, F, C.
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Question 37 of 50
Three friends A, B and C have 33 apples in all. A has 3 more apples than B. B has twice as many apples as C. How many apples does A have?
ExplanationLet C = x. Then B = 2x and A = 2x + 3. Total 5x + 3 = 33, so x = 6, B = 12 and A = 15.
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Question 38 of 50
Three persons X, Y and Z are each either always truthful or always lying. X says, 'Y is lying.' Y says, 'Z is lying.' Z says, 'X and Y are both lying.' How many of the three are liars?
ExplanationX and Z lie and only Y is truthful, so two are liars.
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Question 39 of 50
Six persons A, B, C, D, E and F live on different floors of a six-storey building. The ground floor is floor 1 and the top floor is floor 6. A lives on floor 2. B lives immediately above A. D lives two floors above B. C lives above D. E lives below A. How many floors are there between B and C?
ExplanationB is on floor 3 and C on floor 6; floors 4 and 5 lie between them. A is on floor 2, B on floor 3 and D on floor 5. C lives above D, so C is on floor 6. E lives below A, so E is on floor 1, and F is on floor 4. Floors from 1 to 6: E, A, B, F, D, C.
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Question 40 of 50
Six persons A, B, C, D, E and F visited a library on six different days from Monday to Saturday, one person per day. B visited on Thursday. C visited on Tuesday. F visited the day after C. E visited immediately after D. How many persons visited before B?
ExplanationCount the days before Thursday. C is on Tuesday, F on Wednesday and B on Thursday. The free days are Monday, Friday and Saturday. D and E are on consecutive days, which only fits Friday and Saturday, so A is on Monday. Order: Monday – A, Tuesday – C, Wednesday – F, Thursday – B, Friday – D, Saturday – E.
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Question 41 of 50
Six students Ali, Bilal, Chand, Danish, Ejaz and Faisal scored different marks in a test. Ali scored more than Bilal but less than Chand. Danish scored less than Bilal but more than Ejaz. Faisal scored the highest. Who stands fourth in the order of marks?
ExplanationFourth in order from the top. Chand > Ali > Bilal > Danish > Ejaz, and Faisal is above all of them. Order from the highest score to the lowest: Faisal, Chand, Ali, Bilal, Danish, Ejaz.
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Question 42 of 50
Five persons A, B, C, D and E visit a doctor on five different days from Monday to Friday, one person per day. C visits on Wednesday. A visits the day before C. B visits the day after C. D visits before A. Who visits on Monday?
ExplanationMonday is the first day. C is on Wednesday, A on Tuesday and B on Thursday. D must come before A, so D is on Monday, leaving E for Friday. Order: Monday – D, Tuesday – A, Wednesday – C, Thursday – B, Friday – E.
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Question 43 of 50
In a queue, Sana is 15th from the front and 10th from the back. How many persons are there in the queue?
ExplanationTotal = 15 + 10 − 1 = 24, because Sana is counted in both positions.
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Question 44 of 50
Six friends Ali, Bilal, Chand, Danish, Ejaz and Faisal sit in a row facing north. Ali sits at the extreme left. Bilal sits second to the right of Ali. Chand sits immediately to the right of Bilal. Danish sits at the extreme right. Ejaz does not sit next to Ali. Who sits third from the right end?
ExplanationThird from the right in a row of six is seat 4. Ali is in seat 1, Bilal in seat 3, Chand in seat 4 and Danish in seat 6. Ejaz and Faisal take seats 2 and 5; Ejaz cannot be next to Ali, so Ejaz is in seat 5 and Faisal in seat 2. Final order from left to right: Ali, Faisal, Bilal, Chand, Ejaz, Danish.
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Question 45 of 50
In a row of 30 students, Hina is 11th from the left and Rida is 14th from the right. Hina is to the left of Rida. How many students are between Hina and Rida?
ExplanationRida's position from the left = 30 − 14 + 1 = 17. Students between = 17 − 11 − 1 = 5.
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Question 46 of 50
Five friends P, Q, R, S and T sit in a row facing north. Q sits immediately to the right of P. S sits at the extreme right end. R sits between Q and S, immediately to the left of S. T does not sit at either end. Who sits second from the left?
ExplanationSecond from the left is seat 2. S is at the right end and R is just left of S, so R is fourth. T cannot be at an end, and P and Q are adjacent with P on the left, so they take seats 1 and 2, leaving T in seat 3. Final order from left to right: P, Q, T, R, S.
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Question 47 of 50
Five subjects Math, Physics, Chemistry, Biology and English are taught on five different days from Monday to Friday, one subject per day. English is taught on Monday. Math is not taught on Monday or Friday. Biology is taught two days after Math. Chemistry is taught after Physics, and Chemistry is taught on Friday. Which subject is taught on Wednesday?
ExplanationWednesday is the third day. English is on Monday and Chemistry on Friday. If Math were on Wednesday, Biology would fall on Friday, which is Chemistry's day. So Math is on Tuesday and Biology on Thursday, leaving Physics for Wednesday. Order: Monday – English, Tuesday – Math, Wednesday – Physics, Thursday – Biology, Friday – Chemistry.
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Question 48 of 50
Six persons A, B, C, D, E and F sit around a circular table facing the centre. E sits opposite D. A sits immediately to the left of D. F sits second to the right of A. C is an immediate neighbour of both E and F. (Facing the centre, left is clockwise and right is anticlockwise.) Who sits opposite A?
ExplanationOpposite a seat in a six-seat table is three seats away. With D at seat 0: A is at 1, E at 3 (opposite D) and F at 5 (second to the right of A). C neighbours both E and F, so C is at 4. B takes seat 2. Clockwise order starting from A: A, B, E, C, F, D.
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Question 49 of 50
Six persons A, B, C, D, E and F visited a library on six different days from Monday to Saturday, one person per day. B visited on Thursday. C visited on Tuesday. F visited the day after C. E visited immediately after D. Who visited on Saturday?
ExplanationSaturday is the sixth day. C is on Tuesday, F on Wednesday and B on Thursday. The free days are Monday, Friday and Saturday. D and E are on consecutive days, which only fits Friday and Saturday, so A is on Monday. Order: Monday – A, Tuesday – C, Wednesday – F, Thursday – B, Friday – D, Saturday – E.
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Question 50 of 50
Five persons P, Q, R, S and T are of different heights. P is taller than Q but shorter than R. S is shorter than Q. T is taller than R. Who is the second tallest?
ExplanationThe second in the order from tallest. T > R > P > Q > S follows by chaining the statements. Order from tallest to shortest: T, R, P, Q, S.
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