Logical Reasoning Concepts for Competitive Exams 2026

Logical Reasoning one liner - Order and Ranking

Order and Ranking

• In a row of 30 students, Amit is 10th from the left. What is his position from the right? - 21st (30−10+1)
• Rahul is 15th from the top and 15th from the bottom in a class. What is the total number of students? - 29 (15+15−1)
• In a queue, Priya is 8th from the front and 12th from the back. How many people are in the queue? - 19 (8+12−1)
• A is taller than B, and B is taller than C. Who is the tallest among the three? - A
• In a race of 50 participants, if your rank is 5th, how many people finished behind you? - 45 (50−5)
• Ram is 7th from the left, and Shyam is 9th from the right. If they swap positions, Ram becomes 11th from the left. What is the total number of people? - 19 (11+9−1)
• In the above swap, what is Shyam's new position from the right? - 13th (9+(11−7))
• A is heavier than B but lighter than C. Who is the lightest among the three? - B
• In a class of 40 students, Sonia's rank is 15th from the top. What is her rank from the bottom? - 26th (40−15+1)
• P is older than Q, and R is younger than Q. Who is the oldest among them? - P
• Total persons = 50. Position from Left = 20. What is the position from the Right? - 31st (50−20+1)
• Total persons = 60. Position from Right = 25. What is the position from the Left? - 36th (60−25+1)
• If there are 5 people between A (10th from left) and B (10th from right), what is the maximum total number of people? - 25 (10+10+5)
• What is the position of letter 'K' from the right end of the English alphabet? - 16th (27−11)
• What is the position of letter 'T' from the right end of the English alphabet? - 7th (27−20)
• What is the position of letter 'P' from the right end of the English alphabet? - 11th (27−16)
• What is the position of letter 'E' from the right end of the English alphabet? - 22nd (27−5)
• What is the position of letter 'Z' from the left end of the English alphabet? - 26th
• In a row, if a person is 1st from both ends, how many people are in the row? - 1 (1+1−1)
• The sum of positions of a single person from both ends (Left + Right) is always equal to? - Total+1
• What is the formula for Total (T) when rank from left (L) and rank from right (R) are given? - T=L+R−1
• What is the formula for Rank from Left (L) given Total (T) and Rank from Right (R)? - L=T−R+1
• What is the formula for Rank from Right (R) given Total (T) and Rank from Left (L)? - R=T−L+1
• Mohan is 13th from the left and 12th from the right in a row. Total persons? - 24 (13+12−1)
• In a class of 35 students, Rohan is 7th from the top. What is his rank from the bottom? - 29th (35−7+1)
• In a class of 45 students, Neha is 20th from the bottom. What is her rank from the top? - 26th (45−20+1)
• X is faster than Y, Y is slower than Z, and Z is slower than X. Who is the fastest runner? - X (X>Z>Y)
• There are 10 boys ahead of Aman and 15 boys behind him in a line. Total boys in the line? - 26 (10+1+15)
• There are 8 girls to the left of Divya and 12 girls to her right. Total girls in the row? - 21 (8+1+12)
• When ranks of two persons A and B interchange, Total = New rank of A+Old rank of B−? - 1
• V is richer than W. X is richer than V. Who is the poorest among V, W, X? - W
• M is heavier than N. P is lighter than N. Q is heavier than M. Who is the heaviest? - Q (Q>M>N>P)
• In the above comparison, who is the lightest? - P
• In a test of 50 marks, A scored more than B, B scored more than C, C scored more than D. Who scored least? - D
• In a line of 30 people, if A is 12th from the left and B is 10th from the right, how many people sit between A and B? - 8 (30−(12+10))
• In a line of 40 people, if A is 15th from the left and B is 18th from the right, how many people sit between A and B? - 7 (40−(15+18))
• In a line of 25 people, if A is 14th from the left and B is 16th from the right, how many people sit between them (overlapping case)? - 3 ((14+16)−25−2)
• In a line of 20 people, if A is 12th from the left and B is 13th from the right, how many people sit between them? - 3 ((12+13)−20−2)
• What is the condition for an overlapping case in a row of total T with ranks L and R? - L+R>T+1
• What is the condition for a non-overlapping case in a row of total T with ranks L and R? - L+R<T+1
• What is the formula for number of persons between A and B in an overlapping case? - (L+R)−T−2
• What is the formula for number of persons between A and B in a non-overlapping case? - T−(L+R)
• If L+R=T+1, how many persons sit between A and B? - 0 (They sit immediately adjacent to each other)
• In a class of 50 students, Ravi's rank is 21st from the top. What is his rank from the bottom? - 30th (50−21+1)
• In a class of 80 students, Karan ranks 35th from the bottom. What is his rank from the top? - 46th (80−35+1)
• In a row of boys, if A is 10th from left and B is 9th from right, they interchange positions and A becomes 15th from left. How many boys are there? - 23 (15+9−1)
• In a row of girls, if P is 8th from left and Q is 11th from right, they swap positions and P becomes 14th from left. How many girls are there? - 24 (14+11−1)
• In the above swap, what is Q's new position from the right? - 17th (11+(14−8))
• If Suresh is 7th from the left and Rohit is 12th from the right, and there are 4 persons between them, what is the maximum total? - 23 (7+12+4)
• In the above question, what is the minimum total number of persons (overlapping)? - 13 (7+12−4−2)
• What is the formula for minimum number of persons given L,R and number of persons between them (M)? - L+R−M−2
• What is the formula for maximum number of persons given L,R and number of persons between them (M)? - L+R+M
• In a row of 30 persons, A is 6th from the left end. If A shifts 4 positions to the right, what is A's new position from the left? - 10th (6+4)
• In the above shift, what is A's new position from the right end? - 21st (30−10+1)
• In a row of 40 persons, B is 28th from the right. If B shifts 5 positions to the left, what is B's new position from the right end? - 33rd (28+5)
• In a row of 25 children, P is 18th from the right end. If P shifts 3 positions to the right, what is P's new position from the right end? - 15th (18−3)
• In a row of 25 children, what is P's new position from the left end after the above shift? - 11th (25−15+1)
• In a class of 60 students where girls are twice that of boys (40 girls, 20 boys), Kamal ranks 17th from the top. If 9 girls are ahead of Kamal, how many boys are behind him? - 12 boys (20−(17−9))
• In a class of 90 students where boys are twice that of girls (60 boys, 30 girls), Rani ranks 32nd from the top. If 10 boys are ahead of Rani, how many girls are behind her? - 9 girls (30−(32−10))
• In a race, Amit is ahead of Bharat, Bharat is ahead of Chetan, and Dinesh is behind Chetan. Who is in 1st position? - Amit
• In the above race, who is in the last position? - Dinesh
• Five books are placed on a table: Hindi is above English, Urdu is below Mathematics, English is above Mathematics, Arabic is below Urdu. Which book is at the bottom? - Arabic
• In the above arrangement, which book is at the top? - Hindi
• In the above arrangement, which book is in the exact middle? - Mathematics
• In a row of trees, a tree is 7th from either end of the row. How many trees are in the row? - 13 (7+7−1)
• In a row of cars, a blue car is 11th from both ends. How many cars are in the row? - 21 (11+11−1)
• In a row of houses, house number 5 is 16th from both ends. Total houses? - 31 (16+16−1)
• If you are 9th from the front and 9th from the back in a line, how many people are in the line? - 17 (9+9−1)
• Among five friends P, Q, R, S, T: Q is taller than R but shorter than P. S is taller than T but shorter than R. Who is the tallest? - P (P>Q>R>S>T)
• In the above comparison, who is the shortest? - T
• In the above comparison, who is the 2nd tallest? - Q
• In the above comparison, who is the 2nd shortest? - S
• In the above comparison, who is in the middle? - R
• In a class of 42 students, Mahesh's rank is 16th from the bottom. What is his rank from the top? - 27th (42−16+1)
• In a line of 55 people, Sunita is 23rd from the left. What is her rank from the right? - 33rd (55−23+1)
• In a row of 37 students, Deepak is 14th from the right. What is his rank from the left? - 24th (37−14+1)
• If A is taller than B, C is taller than D, and D is taller than A, who is the shortest? - B (C>D>A>B)
• In the above comparison, who is the tallest? - C
• In a group of 6 persons: K is heavier than L but lighter than M. N is lighter than L but heavier than O. M is lighter than P. Who is the heaviest? - P (P>M>K>L>N>O)
• In the above comparison, who is the lightest? - O
• In the above comparison, who is 3rd heaviest? - K
• In the above comparison, who is 3rd lightest? - L
• In a row of 28 children facing North, A is 7th to the left of B. If B is 18th from the left end, what is A's position from the left end? - 11th (18−7)
• In the above row, what is A's position from the right end? - 18th (28−11+1)
• In a row of 32 children facing North, P is 5th to the right of Q. If Q is 12th from the left end, what is P's position from the left end? - 17th (12+5)
• In the above row, what is P's position from the right end? - 16th (32−17+1)
• In a row of 50 persons facing North, X is 8th to the left of Y. If Y is 25th from the right end, what is X's position from the right end? - 33rd (25+8)
• In a row of 50 persons facing North, what is X's position from the left end? - 18th (50−33+1)
• In a row of 45 persons facing North, M is 6th to the right of N. If N is 20th from the right end, what is M's position from the right end? - 14th (20−6)
• In a row of 45 persons, what is M's position from the left end? - 32nd (45−14+1)
• In a row of 20 boys facing North, R is 4th from the left end and S is 6th from the right end. How many boys are between R and S? - 10 (20−(4+6))
• If 3 boys are inserted between R and S in the above row, what will be the new total? - 23 boys (20+3)
• In a class of 30 students, 5 students failed. Among the passed students, Ankit ranked 11th from the top. What is Ankit's rank from the bottom among passed students? - 15th (25−11+1)
• In a class of 45 students, 8 students were absent. Among the present students, Geeta ranked 14th from the bottom. What is Geeta's rank from the top among present students? - 24th (37−14+1)
• Among A, B, C, D, E: A is older than B but younger than C. D is older than C. E is the youngest. Who is the 2nd oldest? - C (D>C>A>B>E)
• In the above group, who is the 2nd youngest? - B
• If Ram finds that he is 13th from the right in a line of boys and 8th from the left, how many boys should be added to the line so that there are 30 boys in the line? - 10 boys (30−20)
• If Sita is 10th from the left and 15th from the right in a queue, how many more people are needed to make the total 40? - 16 people (40−24)
• In a class of 50 students, Jitin is 18th from the top and Nitin is 12th from the bottom. How many students are between Jitin and Nitin? - 20 (50−(18+12))
• In a class of 36 students, Ravi is 19th from top and Kavi is 21st from bottom. How many students are between them (overlapping)? - 2 ((19+21)−36−2)
• In a class of 28 students, A is 15th from top and B is 16th from bottom. How many students are between A and B? - 1 ((15+16)−28−2)
• If A ranks 7th from top and B ranks 10th from top in a class of 30, how many students rank between A and B? - 2 students (10−7−1)
• If X ranks 12th from bottom and Y ranks 18th from bottom, how many people rank between X and Y? - 5 people (18−12−1)
• What is the formula for number of people between two ranks R1 and R2 measured from the same side? - ∣R1−R2∣−1
• In a row of 24 persons, if A is 9th from left and B is 19th from left, how many persons are between A and B? - 9 (19−9−1)
• In a row of 30 persons, if P is 8th from right and Q is 22nd from right, how many persons are between P and Q? - 13 (22−8−1)
• In an examination, Rahul got 11th rank and was 47th from the bottom among those who passed. 3 students did not appear and 1 student failed. How many total students were in the class? - 61 (11+47−1+3+1)
• In a competition, 6 students failed and 4 were absent. If Priya is 16th from top and 29th from bottom among qualifiers, total students? - 54 (16+29−1+6+4)
• In a row of 40 girls facing North, Kamla is 10th from left and Madhu is 12th from right. If Swati is placed exactly between Kamla and Madhu, what is Swati's rank from left? - 19th (10+9)
• In the above arrangement, what is Swati's rank from the right? - 22nd (40−19+1)
• In a row of 50 boys, A is 15th from left and B is 15th from right. If C sits exactly midway between A and B, what is C's rank from left? - 25th or 26th (Midpoint of 15 and 36 is 215+36=25.5→ exactly between if odd gap)
• In a row of 31 boys, A is 7th from left and B is 7th from right. If C is exactly between A and B, what is C's position from left? - 16th (7+9=16)
• In the above row, what is C's position from the right? - 16th (31−16+1)
• In a row of 21 girls, when Monika was shifted by 4 places towards the right, she became 12th from the left end. What was her earlier position from the left end? - 8th (12−4)
• In the above problem, what was Monika's earlier position from the right end? - 14th (21−8+1)
• In a row of 30 boys, when Rakesh was shifted by 6 places towards the left, he became 10th from the left end. What was his earlier position from the left end? - 16th (10+6)
• In the above problem, what was Rakesh's earlier position from the right end? - 15th (30−16+1)
• In a class of 45 students, girls are twice that of boys (30 girls, 15 boys). If Sukant ranks 15th from top and 5 boys are ahead of him, how many girls are behind him? - 21 girls (30−(15−1−5))
• In a class of 60 students where boys are twice that of girls (40 boys, 20 girls), Arpit ranks 24th from top with 8 girls ahead of him. How many boys are behind him? - 25 boys (40−(24−1−8))
• In a row of students facing North, A is 16th from left end and B is 16th from right end. If C is 4th to the right of A and 5th to the left of B, what is the total number of students? - 40 (16+4+5+16−1)
• In a row of persons, X is 12th from left and Y is 18th from right. If Z is 3rd to the right of X and 4th to the left of Y, total persons? - 36 (12+3+4+18−1)
• If A is 10th from left and B is 15th from right in a row of 40 persons, what is the position of B from the left end? - 26th (40−15+1)
• In the above row, what is the position of A from the right end? - 31st (40−10+1)
• In a ranking test, if rank from top is multiplied by rank from bottom, does it give total students? - No (Ranks must be added and reduced by 1)
• In a class of 25 students, 12th rank from top represents which position from bottom? - 14th (25−12+1)
• In a class of 100 students, 45th rank from top represents which position from bottom? - 56th (100−45+1)
• In a class of 100 students, 30th rank from bottom represents which position from top? - 71st (100−30+1)
• If the position of an element from left is L, what is the position of its immediate right neighbor from left? - L+1
• If the position of an element from left is L, what is the position of its immediate left neighbor from left? - L−1
• If the position of an element from right is R, what is the position of its immediate right neighbor from right? - R−1
• If the position of an element from right is R, what is the position of its immediate left neighbor from right? - R+1
• In a line of 35 people, if A is 15th from left and B is 7th to the right of A, what is B's position from right? - 14th (35−(15+7)+1)
• In a line of 40 people, if P is 20th from right and Q is 6th to the left of P, what is Q's position from left? - 15th (40−(20+6)+1)
• In a row of 50 students, if R is 22nd from left and S is 8th to the left of R, what is S's position from right? - 37th (50−(22−8)+1)
• In a row of 50 students, if M is 30th from right and N is 10th to the right of M, what is N's position from left? - 31st (50−(30−10)+1)
• If A is 5 ranks ahead of B who ranks 18th in a class of 40, what is A's rank from the top? - 13th (18−5)
• In the above class, what is A's rank from the bottom? - 28th (40−13+1)
• If P is 8 ranks behind Q who ranks 12th from top in a class of 50, what is P's rank from top? - 20th (12+8)
• In the above class, what is P's rank from the bottom? - 31st (50−20+1)
• If X is 6 ranks ahead of Y who ranks 25th from bottom in a class of 60, what is X's rank from bottom? - 31st (25+6)
• In the above class, what is X's rank from top? - 30th (60−31+1)
• If M is 4 ranks behind N who ranks 16th from bottom in a class of 45, what is M's rank from bottom? - 12th (16−4)
• In the above class, what is M's rank from top? - 34th (45−12+1)
• In a row of 30 children, if A is 10th from left and B is 12th from left, how many children are between A and B? - 1 (12−10−1)
• In a row of 40 children, if P is 15th from right and Q is 25th from right, how many children are between P and Q? - 9 (25−15−1)
• In a comparison of weights: A>B>C and D>E>A. Who is the 2nd heaviest? - A (D>E>A>B>C)
• In the above comparison, who is the 3rd heaviest? - B (or A depending on E, here D>E>A⟹ E is 2nd, A is 3rd)
• In a height comparison: P<Q<R and S<T<P. Who is the 3rd tallest? - P (S<T<P<Q<R⟹R>Q>P>T>S)
• In the above comparison, who is the 2nd shortest? - T
• In a class of 30, Sunita is 10th from top and Anita is 10th from bottom. If Gita is between them, how many total students are between Sunita and Anita? - 10 (30−(10+10))
• In a class of 20, Ram is 8th from top and Shyam is 9th from bottom. How many students are between Ram and Shyam? - 3 (20−(8+9))
• In a class of 20, Ram is 12th from top and Shyam is 13th from bottom. How many students are between Ram and Shyam? - 3 ((12+13)−20−2, overlapping)
• In a row of 15 children, A is 9th from left and B is 10th from right. How many children are between them? - 2 ((9+10)−15−2)
• In a row of 18 boys, P is 11th from left and Q is 12th from right. How many boys are between them? - 3 ((11+12)−18−2)
• In a row of 22 girls, X is 14th from left and Y is 15th from right. How many girls are between them? - 5 ((14+15)−22−2)
• In a row of 10 people, if A is 6th from left and B is 6th from right, how many people are between them? - 0 ((6+6)−10−2=0, they are adjacent)
• In a row of 12 people, if A is 7th from left and B is 7th from right, how many people are between them? - 0 ((7+7)−12−2=0)
• In a row of 14 people, if A is 8th from left and B is 8th from right, how many people are between them? - 0 ((8+8)−14−2=0)
• In a row of 16 people, if A is 9th from left and B is 9th from right, how many people are between them? - 0 ((9+9)−16−2=0)
• If two persons in a row of total N have ranks L=2N+1 and R=2N+1, how many persons sit between them? - 0 (They cross each other with zero gap)
• In a race, 4th from start and 7th from finish gives total participants as? - 10 (4+7−1)
• In a book shelf, 8th book from top and 13th from bottom gives total books as? - 20 (8+13−1)
• In a parking lot, 12th car from entrance and 19th from exit gives total cars as? - 30 (12+19−1)
• In an auditorium row, 15th seat from left and 26th from right gives total seats as? - 40 (15+26−1)
• In a cinema queue, 25th person from ticket window and 26th from the end gives total people as? - 50 (25+26−1)
• What is the fundamental rule when calculating total persons from two rank perspectives? - Add the two directional ranks of the same unique reference person and subtract 1