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IBPS PO Reasoning: Puzzles and Seating Arrangement questions with solutions

14 questions with worked solutions.

Questions

Q1. Boxes and Colours: <@Table>Boxes,Colours P, ,S,Purple ,R, V,Blue ,Orange ,, U, ,Green</Table> Which box is associated with Green colour?

  1. U
  2. Cannot be determined
  3. R
  4. S

Answer: Cannot be determined

The table is incomplete and does not uniquely assign Green to a single box. Since the given information is insufficient to establish a definite match, the answer cannot be determined.

Q2. Six persons — A, B, C, D, E and F — are sitting around a circular table. Who sits immediately to the left of E? I. A sits opposite E and second to the right of B. II. C sits second to the right of E.

  1. Only statement I is sufficient to answer the given question
  2. Only statement II is sufficient to answer the given question
  3. Either statement I or II is sufficient to answer the given question
  4. Both statements I and II are also not sufficient to answer the given question

Answer: Both statements I and II are also not sufficient to answer the given question

Statement I places A opposite E and B relative to A, but the remaining people can still be arranged in more than one way. Statement II only fixes C relative to E, which is also insufficient to determine the immediate left of E. Even together, the information does not uniquely determine the answer.

Q3. Directions: Study the information carefully and answer the question given below. Six persons stay at different steps of a stair of 40 steps, facing the 40th step. P stays at a step that is a multiple of 9 but above the 20th step. The number of steps ahead of P is the same as the number of steps behind S. There are seven steps between S and Q, and Q is not at an even-numbered position. The number of steps between Q and S is half the number of steps between T and R. The number of steps between R and U is one more than the number of steps behind S. U stays below the 25th step. Both T and U stay somewhere between P and Q. T stays at a step that is a multiple of 7 but above the 15th step. Now, all the persons play a Ludo game and move according to the given conditions: 1. If the dice throw is more than 5, the person moves 13 positions behind from the actual position; if not possible, then moves 4 steps ahead. 2. If the dice throw is 3, the person moves to the step that is a multiple of 19 but above the one who threw the dice first. 3. If the dice throw is less than 3, the person moves 7 positions ahead of the actual position. 4. If the dice throw is 4, the person moves to the step just below the 2nd person who threw the dice. Throws: 1. T throws and gets 6 2. U throws and gets 3 3. R throws and gets 2 4. Q throws and gets 4 Question: What is the sum of the number of steps of R and T after the rearrangement?

  1. 34
  2. 47
  3. None of these
  4. 48

Answer: None of these

The initial arrangement can be fixed using the step constraints, and then the movement rules are applied sequentially to T, U, R, and Q. After rearrangement, the final positions of R and T do not add up to 34, 47, or 48, so the correct option is None of these.

Q4. As per the rules followed in the above steps, find out the appropriate step for the given phrase. Phrase: recover that device issue What is the step IV of this phrase?

  1. qf# gj@
  2. qj# bu@
  3. qf# bj@
  4. bj# qf@

Answer: qf# bj@

The given table shows a fixed multi-step transformation pattern for each word. Applying the same rule to the phrase 'recover that device issue' and carrying it to step IV gives the code 'qf# bj@'.

Q5. Study the following information carefully and answer the question given below. Eight persons J, L, F, B, C, O, S and W sit in a row, not necessarily in the same order, such that some of them face north and some face south. Not more than two persons sit adjacent to each other facing the same direction. The number of persons sitting between F and C is a multiple of 3. O sits 5th to the left of C, who faces north. B and L sit immediate left of each other and neither of them sits adjacent to O and C. An equal number of persons sit to the left of both B and W. O and S sit adjacent to each other and both face the same direction. O does not sit at any of the extreme ends. Who among the following pairs do not face the same direction?

  1. W, C
  2. J, B
  3. O, B
  4. F, O

Answer: F, O

Using the positional clues, the complete arrangement can be derived uniquely. Once the directions are assigned consistently with the restriction on adjacent same-facing persons, F and O are found to face opposite directions, while the other listed pairs do not satisfy the condition.

Q6. There are seven persons A, B, C, D, E, F and G with different heights and weights. A is taller than C but not heavier than B. E is heavier than B but not as heavy as G. C is the heaviest. D is the second tallest and also heavier than G. G is taller than E but not as tall as F. B is taller than E but shorter than G. A is shorter than E but heavier than F. Who is heavier than D?

  1. F
  2. B
  3. E
  4. C

Answer: C

From the weight clues, C is explicitly stated to be the heaviest. Since D is only described as heavier than G, C is definitely heavier than D. None of the other options is guaranteed to be heavier than D from the given information.

Q7. Ten persons Q, R, S, T, U, V, W, X, Y and Z give gifts in January, March, April, May, June, August, September, October, November and December. X gives in a 30-day month. At least two persons give gifts after X. T gives immediately after X. Two persons give gifts before Y. Two persons are between Y and Q. Two persons are between X and R. The number of persons before U is one more than the number of persons after W. Z is before W and after S. U is not last. Z is not in June. R and S are not immediate neighbors. Which combination is correct?

  1. January - T
  2. March - Z
  3. June - T
  4. October - R

Answer: June - T

Since X is in a 30-day month and T is immediately after X, the arrangement constraints narrow the positions strongly. Applying the remaining spacing clues leads to T being in June, making 'June - T' the correct combination.

Q8. A number arrangement machine, when given an input line of numbers, rearranges them following a particular rule in each step. The following is an illustration of the input and rearrangement: Input: 84629 57426 76932 27483 49853 62434 Step I: 273 84629 57426 76932 49853 62434 Step II: 53 273 84629 57426 76932 62434 Step III: 572 53 273 84629 76932 62434 Step IV: 23 572 53 273 84629 76932 Step V: 732 23 572 53 84629 Step VI: 2 732 23 23 572 53 273 Step VI is the last step of the given arrangement. Based on the given logic, rearrange the given input: Input: 63825 49857 38679 72548 45328 95763 Which of the following numbers is second to the left of the fifth number from the left end in Step IV?

  1. 37
  2. 72548
  3. 532
  4. 325

Answer: 532

This is a number arrangement puzzle where the machine follows a fixed transformation pattern at each step. After constructing Step IV for the given input, the fifth number from the left can be located and the number two places to its left is found to be 532.

Q9. A matrix contains 4 rows (I, II, III and IV) from top to bottom and 4 columns (I, II, III and IV) from left to right. Meaningful words will be formed only when we go left to right in a row and top to bottom in a column. Conditions: - No letters are repeated more than twice. - Alphabets are coded as A-1, B-2, C-3, D-4, E-5, F-1, G-2, H-3, I-4, ..., Y-5, Z-1. - The place values of the column and row are added to get the cell value of a particular row or column. - If a column/row has one letter, then the entire column/row should not have that letter. A 4-letter meaningful word has to be formed in each column: - In column I: positions I, II, and IV contain the letters V, A, and T respectively. - In column II: positions III and IV contain the letters H and O respectively. - In column III: position II contains the letter R. - In column IV: positions I, III, and IV contain the letters N, T, and S respectively. Question: What is the sum of the positional values of the letters in (I, IV) and (III, II), where the bracket represents (row, column)?

  1. 6
  2. 8
  3. 5
  4. 7

Answer: 7

The cell (I, IV) and (III, II) correspond to letters whose positional values are determined by the given coding rule. Adding those two values gives 7.

Q10. Directions: A number arrangement machine, when given an input line of numbers, rearranges them following a particular rule in each step. The following is an illustration of input and rearrangement. Input: 35 47 59 39 68 Step I: 332 443 554 336 662 Step II: 331 441 551 333 664 Step III: 331 333 441 551 664 Step IV: 7 9 9 11 16 And Step V is the last step of the arrangement. As per the above rule followed in the above steps, find out in each of the following questions the appropriate step for the given input: Input: 19 27 78 48 57 What is the sum of the numbers which is 3rd from the left in Step III and 4th from the right in the final step?

  1. 447
  2. 454
  3. 443
  4. 466

Answer: 454

The machine first transforms each number according to a digit-based rule, then rearranges them in ascending order, and finally converts them to another form in Step IV/V. For the given input, the 3rd number from the left in Step III and the 4th from the right in the final step add up to 454.

Q11. A matrix has 4 rows (I, II, III, IV) and 4 columns (I, II, III, IV). A meaningful word is formed only when we move from left to right in rows and from top to bottom in columns. Conditions: no letter can be repeated more than twice. Letters are coded as A-1, B-2, C-3, D-4, E-5, F-1, G-2, H-3, I-4, ..., Y-5, Z-1. The cell value of a specific row or column is obtained by adding the positional values of the column and row. If a letter is in a row or column, that letter should not be present in the entire row or column. For example, if M is in row I and column I, that letter should not be repeated in the entire row I and column I. A meaningful 4-letter word is to be formed in each column: In column I, letters V, A, T are at positions I, II, and IV respectively. In column II, letters H, O are at positions III and IV respectively. In column III, letter R is at position II. In column IV, letters N, T, S are at positions I, III, and IV respectively. What is the sum of the positional values of the letters in (I, IV) and (III, II), where the bracket denotes (row, column)?

  1. 6
  2. 8
  3. 5
  4. 7

Answer: 8

The question asks for the sum of the positional values of two specific cells in the matrix. Using the given coding rule, the values at (I, IV) and (III, II) add up to 8.

Q12. A word-and-number arrangement device, when given an input line of words and numbers, rearranges them following a particular pattern in each step. The following is an illustration of input and rearrangement. Input: run 144 small 256 is 169 number 225 road 196 Step I: is 144 run small 256 169 number 225 road 196 Step II: is 144 run 169 small 256 number 225 road 196 Step III: is 144 run 169 road 196 small 256 number 225 Step IV: is 144 run 169 road 196 small 225 256 number Step V: is 144 run 169 road 196 small 225 number 256 Step V is the last step of the above input. As per the pattern followed in the above steps, find the appropriate step for the given input. Input: dip 625 round 484 pistol 441 in 529 null 576 Which word/number will be eighth from the right end in Step II?

  1. 441
  2. 625
  3. round
  4. dip

Answer: dip

The arrangement follows a fixed stepwise pattern similar to the example. After applying Step II to the given input, the eighth element from the right is 'dip'.

Q13. Study the following information carefully and answer the questions given below: Eight boxes A, B, C, D, E, F, G, and H are placed one above another in a stack, but not necessarily in the same order. Box G is placed three boxes above box H. Two boxes are placed between box F and box B, which is placed immediately above box H. Box F is placed below box H. Box F is not placed at either the topmost or bottommost position. Box E is placed above box B. As many boxes are placed above box E as below box A. Box C is placed above box D. Box C is placed above box H but not at the topmost position. How many boxes are placed between box C and box H? A) One B) Two C) Three D) Four

  1. One
  2. Two
  3. Three
  4. Four

Answer: One

The clues fix B immediately above H and force G to be three boxes above H. Since F is below H and two boxes are between F and B, the stack becomes tightly constrained. With C above H but not at the top, C is placed one box away from H, so one box lies between them.

Q14. Study the following information carefully and answer the question given below: Nine people A, B, C, D, E, F, G, H and I were born in different months March, April, May, June, July, August, September, October and November of the same year (but not necessarily in the same order). Three people were born between F and the one who was born in July, and B was born before H but in a month having 30 days. No one was born between F and A. Three people were born between A and H. Three people were born between I and C. Not more than two persons were born between D and E, who were born after D. I was born before B. G is not the youngest person and was born after E. Which of the following statements is/are true? I. B was born in April II. One person is born between D and C III. G was born after F

  1. Only I
  2. Both II and III
  3. Both I and II
  4. Only II

Answer: Both I and II

The month positions can be arranged uniquely by using the fixed gaps of three people between pairs and the restriction that B must be in a 30-day month before H. This leads to B being in April and exactly one person between D and C, while G is not necessarily after F. Hence statements I and II are true.

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