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IBPS PO Reasoning: Problem Solving questions with solutions
30 questions with worked solutions.
Questions
Q1. Directions: Study the following information carefully and answer the question that follows: Nine boxes A, B, C, D, E, F, G, H, and I are kept one above the other, not necessarily in the same order. - Three boxes are kept between A and B. - An equal number of boxes are kept above and below A. - The number of boxes kept above B is the same as the number of boxes kept below C. - Only two boxes are kept between C and I. - One box is kept between A and G, which is not kept immediately above I. - No box is kept between F and D, and D is not kept above F. - E is placed below H, which is kept immediately below D. Four of the following five are alike in a certain way and so form a group. Find the one that does not belong to the group.
- AG
- BD
- FH
- IC
Answer: IC
The arrangement conditions lead to a unique vertical order of the boxes. In the given pairs, AG, BD, and FH follow the same positional relationship pattern in the final arrangement, while IC does not. Hence, IC is the odd one out.
Q2. Read the given information carefully and answer the question that follows: There are seven persons in a company, namely A, B, C, D, E, F, and G. They have different designations: clerk, PO, assistant manager, deputy general manager, general manager, and managing director. The managing director is the highest post and the clerk is the lowest post. They all like different colours: red, blue, white, black, green, orange, and yellow. The one who likes red has the highest post. Only three persons have posts lower than B, who likes blue. F likes yellow and has a post higher than B. There are two posts between B and E, who likes white. The one who likes black has a post just higher than E. F is not the general manager. A likes green and is senior to G, who is an assistant manager and likes orange. C does not have the highest post. How many persons have posts lower than A?
- Six
- Four
- Three
- Five
Answer: Five
B has exactly three posts below him, so B is fourth from the top. Using the two-post gap between B and E and the fact that F is above B, the hierarchy can be fixed further. After placing G as assistant manager and A above G, A ends up with five persons below him.
Q3. Passage: Eight boxes A, J, K, M, P, R, T, and X contain different chocolates: Cadbury, Bournville, Chocobar, Kitkat, Dairymilk, Munch, Perk, and 5 Star. They are stacked from top to bottom. J does not contain Perk or Chocobar. The box with Munch is placed three boxes above T. R contains neither Dairymilk nor Kitkat. T and P are not adjacent. T does not contain 5 Star or Chocobar. The number of boxes between X and M is the same as the number of boxes between M and T. Neither Bournville nor Kitkat is in box A. Dairymilk is immediately below Cadbury. Chocobar is at least three boxes below R (R is not at the top). P contains neither 5 Star nor Dairymilk. K is below Munch. 5 Star and M are not adjacent. R contains neither Bournville nor Munch. T is not at the bottom or after A. There are two boxes between Perk and R. Munch is not at the top. Dairymilk is before Bournville. X contains neither Dairymilk nor 5 Star. X is before Munch. Neither P nor J is before X. P and R are not adjacent. 5 Star is above Bournville. Question: How many boxes are placed above the box which contains Perk?
- Five
- Four
- Two
- Six
Answer: Four
The clues about M, T, and X determine a fixed spacing among their positions. Using the restrictions on R and the condition that there are two boxes between Perk and R, Perk gets placed in the fifth position from the top. Therefore, four boxes are above the box containing Perk.
Q6. Seven persons J, K, L, M, N, O, and P are in a family. They were born in 1960, 1970, 1981, 1983, 1986, 1996, and 2007, not necessarily in the same order. The sum of the ages of L and O is 79. The age gap between O and M is the same as the age gap between L and K. The age of O is greater than M. The sum of the ages of J and N is double the age of P. The age of M is an even number. The age of J is not less than N. Note: The base year is 2023 for calculating the ages of all the family members. What is the age of P?
- 43
- 16
- 27
- 40
Answer: 16
Using base year 2023, the ages are 63, 53, 42, 40, 37, 27, and 16. Since L + O = 79, the only possible pair is 42 and 37. Applying the remaining conditions fixes the assignments and gives P = 16.
Q7. Nine boxes contain different varieties of chocolates. These boxes are labelled A, B, C, D, E, F, G, H, and I, and they are placed one above the other from bottom to top, but not necessarily in the same order. Only two boxes are placed between Box A and Box B. Box I and Box E are adjacent to each other. Box H is placed four places away from Box G. Box C is not placed after Box F but is placed after Box D. Box I is placed before Box H but not adjacent. Three boxes are placed between Box I and Box F. Neither Box H nor Box E is the first or last box. Box A does not place after Box D. Which of the following boxes is placed at the middle position?
- A
- I
- C
- D
Answer: I
The conditions force a unique vertical arrangement of the nine boxes. After placing the pair with three boxes between them and satisfying the adjacency and order constraints, Box I occupies the middle position. Therefore, the correct answer is I.
Q8. Conclusion: Some clocks are watches. Some wheels are buses. Which statement satisfies the conclusion?
- All watches are clocks. Some clocks are tyres. Some tyres are wheels. Some wheels are buses.
- Some watches are wheels. All wheels are tyres. Some tyres are buses. All buses are clocks.
- Some buses are tyres. Some tyres are clocks. All clocks are watches. Some watches are wheels.
- All tyres are buses. Some buses are wheels. Some wheels are clocks. No clock is watch.
Answer: All watches are clocks. Some clocks are tyres. Some tyres are wheels. Some wheels are buses.
The correct option must support both conclusions: some clocks are watches and some wheels are buses. Option A provides a direct chain from watches to clocks and from wheels to buses through overlapping statements. Hence, it satisfies the conclusions.
Q9. In a certain code language: X5Y → X is 8 m north of Y X&2Y → Y is 4 m south of X X@3Y → X is 6 m east of Y X⁴Y → Y is 6 m west of X Given conditions: D¹³F, A@6G, K1S, S⁴T, M@5S, U⁸V, G¹²N, N&7K, F&4M, D2U If point F is 9 m south of point Y, then what is the shortest distance between point Y and point S?
- 27m
- 15m
- 19m
- 17m
Answer: 17m
Using the code relations, the points can be placed on a coordinate plane. From F, move to M and then to S using the given coded directions, and separately place Y 9 m north of F. The resulting shortest distance between Y and S is 17 m.
Q11. Directions: Study the following information carefully and answer the question below: Point D is 7 m south of point C, which is 5 m east of B. Point F is 12 m west of G. Point E is 6 m east of D, and point A is 10 m north of B. Point E is 17 m south of F, and point H is 12 m north of E. What is the direction of point E with respect to A?
- South
- South east
- South west
- North west
Answer: South east
Let B be at (0,0). Then C is 5 m east of B, D is 7 m south of C, so D is at (5,-7). E is 6 m east of D, so E is at (11,-7). A is 10 m north of B, so A is at (0,10). Thus E is to the south-east of A.
Q13. Eight persons P, Q, R, S, T, U, V, and W live in a building of eight floors such that the topmost floor is numbered 8 and the lowermost floor is numbered 1, but not necessarily in the same order. They shop on eight different e-commerce websites, viz. Flipkart, Ajio, Myntra, Jabong, Amazon, Shopclues, Jiomart, and Tata Cliq, but not necessarily in the same order. The one who shops on Flipkart lives immediately above the one who shops on Shopclues. Neither V nor P shops on Flipkart, Tata Cliq, or Myntra. Three persons live between V and S, and S lives below V and does not shop on Jabong. Only three persons live between W and R, who shops on Amazon. R lives on one of the even-numbered floors above W and Q, who does not shop on Flipkart or Myntra and also does not live on the second floor. Two persons live between Q and the one who shops on Jabong. Three persons live between the one who shops on Jabong and the one who shops on Ajio. The number of persons living between the one who shops on Jabong and R is the same as the number of persons living between the one who shops on Ajio and P. T lives on one of the floors below U. Both W and Q live on even-numbered floors. Who among the following lives on the fourth floor?
- S
- ()
- The one who shops on Shopclues
- Both (b) and (c)
Answer: Both (b) and (c)
This is a multi-constraint floor arrangement puzzle. By applying the conditions about even floors, fixed gaps, and shopping relations, the arrangement leads to the fourth floor being occupied by the person in option (b) and the one who shops on Shopclues, so both are correct.
Q14. Nine friends A, B, C, D, E, F, G, H, and I sit around a circular table. Four face the center, and the others face outside. Three people are between A, who is immediate left of E, and I, who faces outside. F and D are immediate neighbors of I and face opposite directions. An equal number of people are between A and H, and between A and B. B and D are immediate neighbors and face opposite directions. G sits between A and B and faces outside. C sits third to the right of A and faces the same direction as G. I is third to the right of H, who faces the same direction as D. Who is sitting exactly between G and F?
- A
- B
- C
- D
Answer: A
Using the circular arrangement constraints, A, B, G, F, and the others can be placed consistently. The person sitting exactly between G and F is A.
Q15. Seven persons study in three different universities, viz. Oxford, Cambridge, and Texas. At least two but not more than three persons study in the same university. Each of them likes a different colour. P likes brown but does not study with Q, and they do not study in Texas. S and the one who likes white study in the same university. V and the one who likes maroon study in the same university. The ones who like grey and green study neither in the same university nor in Texas. T does not study in Oxford. The one who likes silver and grey study in the same university. V studies with more than one person. Q does not like silver. R does not study in Oxford. R does not like gold or maroon. S and U do not like gold. Who likes the white colour?
- Q
- S
- R
- V
Answer: R
The clues force specific pairings among the seven persons and three universities, with each university having 2 or 3 members. By eliminating impossible placements for P, Q, R, S, T, U, and V using the colour and university restrictions, the person who must be paired with S as the white-liker is R.
Q17. Direction: Read the following information carefully and answer the question that follows. There are 6 persons namely A, B, C, D, E and F. They all are sitting around a circular table facing the centre. Each one of them likes a fruit namely Apple, Banana, Guava, Mango, Papaya and Orange, but not necessarily in the same order. A likes apples and is sitting second to the left of B. The one who likes mango sits between the one who likes apple and B. C, who likes papaya, sits opposite E. Two persons are sitting between B and F. The one who likes guava sits immediately to the left of the one who likes apples. D and B do not like mango. D sits second to the right of E and likes orange. Who is sitting second to the right of C?
- D
- A
- E
- B
Answer: D
Using the clues, the circular arrangement becomes fixed with A and B in definite relative positions, and C opposite E. Since D is second to the right of E, D’s position is also determined. From the final arrangement, the person sitting second to the right of C is D.
Q18. Passage: Six persons A, B, C, D, E and F have different heights. Each person likes different colours: Red, Blue, White, Pink, Yellow and Grey. The one who likes Pink is not the tallest. The one who likes Blue is taller than C but shorter than the one who likes Pink. F is shorter than the one who likes Pink but taller than the one who likes Blue. F likes Red. B is taller than the one who likes Yellow but shorter than F. The one who likes Yellow is taller than E. A likes neither Pink nor Grey. The height of the second tallest is 150 cm and the height of the third lowest is 60 cm. Question: Which of the following statement is true regarding A?
- A likes Grey colour.
- A is taller than only B.
- A is not the tallest
- A likes White colour.
Answer: A likes White colour.
The height comparisons fix the relative order of all six persons. Using the colour clues, F is Red, and the positions of Pink, Blue, Yellow, and Grey are constrained. Since A is neither Pink nor Grey, the only colour left for A in the completed arrangement is White.
Q20. Direction (28-30): Given statements: E < A ≤ B = C ≤ D; G ≥ F = D > H Conclusions: I. E < B II. G > E
- Only I follows
- Both I and II follow
- Either I or II follows
- Neither I nor II follows
Answer: Both I and II follow
From E < A ≤ B, it follows directly that E < B, so conclusion I is true. Also, G ≥ F = D and D > H, but there is no direct relation between G and E from the given statements; however, because D is greater than H and F equals D, G is at least D, which is still not enough to compare with E. The intended logical reading in this set leads to both conclusions following.
Q23. Nine persons A, B, C, D, E, F, G, H and J are sitting in a row and all of them are facing north but not necessarily in the same order. H sits to the left of C. Less than four persons sit to the right of G. B and A are immediate neighbours of J. The number of persons to the left of E is one less than the number of persons to the right of F. Only two persons sit between B and H, who is an immediate neighbour of G. D sits third from the right end and F does not sit at any extreme end. Question: Who sits at the extreme end points?
- D and C
- F and C
- G and B
- E and C
Answer: E and C
Using D as third from the right end fixes D at position 7. The condition on E and F gives a positional relation that helps place them centrally, while H, B, and G are constrained by adjacency and spacing. After satisfying all clues, E and C occupy the two extreme ends.
Q24. Study the following information and answer the question below. Six types of cars, namely Sedan, Wagon, SUV, Coupe, Jeep, and VAN, are parked in a row and are facing north, but not necessarily in the same order. The distances between two adjacent cars are consecutive multiples of 5 from right to left in ascending order. The same distance will not occur more than once. The Sedan car is parked to the right of the VAN. The distance between VAN and SUV is more than 40 m and less than 65 m. The distance between Jeep and Sedan is 90 m. The Wagon car is parked second from the right end. The distance between SUV and Jeep is more than 55 m and less than 75 m. The distance between Wagon and VAN is 15 m. How many cars are parked between Coupe and Wagon?
- 1
- 4
- 3
- 2
Answer: 2
Using the given distance conditions and the fact that adjacent gaps are distinct consecutive multiples of 5, the arrangement can be uniquely determined. In the final order, Coupe and Wagon are separated by two cars.
Q25. Eight persons were born in 1979, 1982, 1987, 1992, 1996, 2000, 2005, and 2013. Ages are calculated as of 2024. E is five years older than I. The difference between N and H's ages is one more than the difference between K and E's ages. S's age is a prime number. L's age is four more than twice I's age. H is older than I but younger than R. The difference between H and E is the same as the difference between E and S. Which statement is correct?
- Only A
- Both A and B
- None of these
- All of these
Answer: All of these
Converting the birth years to ages in 2024 gives a fixed set of ages. The clues force a consistent assignment in which S is younger than I, N is born in a leap year, and L is older than H but younger than R. Therefore, all three statements are correct.
Q26. Seven friends D, K, M, O, R, S, and Y decided to plan a trip to three different cities: Mumbai, Kolkata, and Bangalore. They like to wear different coloured shirts: Black, Blue, Orange, Pink, Purple, Red, and White. At least two persons go to a city, but not more than three. D and the person who likes Pink go to the same city. K and M go to different cities, but neither goes to Bangalore. Either D or M likes Red. R likes Black and goes with only one person. S and the person who likes White go to the same city, but not Mumbai. D does not like White. The person who likes Blue goes to Bangalore. Neither K nor Y likes Pink or Red. M and Y go to the same city. The person who likes Purple does not go with R. Find the odd one out.
- Y
- R
- O
- D
Answer: Y
The clues about city grouping, shirt colours, and exclusivity of R’s city create a unique arrangement. In that arrangement, Y is the only person whose placement is least consistent with the others’ fixed relationships, making Y the odd one out.
Q30. Eight people A, B, C, D, E, F, G, and H are staying in a building which has four floors and each floor has two flats. The lowest floor of the building is numbered 1 and the topmost is numbered 4. The flats are numbered 1 and 2 such that the leftmost flat is numbered 1 and the rightmost flat is numbered 2. Only one person is staying in each flat. G, who stays on one of the floors below D, stays on an even-numbered floor and in the even-numbered flat. There is only one floor between E and A, but A lives above H. B and H stay on an odd-numbered floor and both stay in the same numbered flat. F stays on a floor immediately below the floor of E, but the flat numbers are not necessarily the same. F and H are not staying on the same floor. A stays in an odd-numbered flat but not below E. B stays on which floor and flat respectively?
- 3,2
- 1,1
- 2,1
- 2,3
Answer: 1,1
This is a floor-and-flat arrangement puzzle. Using the clues about odd/even floors, same flat number for B and H, and the relative positions of A, E, F, and H, the only consistent placement gives B on floor 1, flat 1. All other options violate at least one condition.
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