IBPS PO Quantitative Aptitude: Puzzle and Seating Arrangement questions with solutions

Q1. Eight people A, B, C, D, E, F, G, and H were born on the same date but in different years, viz. 1972, 1980, 1958, 1960, 1968, 1988, 1999, and 1962. (Calculate all ages with respect to the year 2019.) G was born eight years after B. A was born in an even-numbered year. Only one person was born in an odd-numbered year whose age is a multiple of 2. H is the youngest among all. C is not younger than A. The difference between the age of B and the person who was born in the year 1958 is 2 years. B is not older than F, whose age is 61. The age difference between D and E is 10 years older than the one who is four years younger than G. B is how many years older than C?

1. 18
2. 25
3. 20
4. 1

Answer: 20

This is a year-based arrangement puzzle. Using the clues, B and G are separated by 8 years in birth year, and B is 2 years away from the person born in 1958; with F aged 61, the placements become constrained. After completing the arrangement, B turns out to be 20 years older than C.

Q2. Eight people A, B, C, D, E, F, G, and H were born on the same date but in different years, viz. 1972, 1980, 1958, 1960, 1968, 1988, 1999, and 1962. (Calculate all ages with respect to the year 2019.) G was born eight years after B. A was born in an even-numbered year. Only one person was born in an odd-numbered year whose age is a multiple of 2. H is the youngest among all. C is not younger than A. The difference between the age of B and the person who was born in the year 1958 is 2 years. B is not older than F, whose age is 61. The age difference between D and E is 10 years older than the one who is four years younger than G. What is the sum of the ages of persons born between the ages of 35 and 60?

1. 304
2. 320
3. 253
4. 299

Answer: 253

Using 2019 ages, the years correspond to ages 47, 39, 61, 59, 51, 31, 20, and 57. Applying the clues fixes the assignments uniquely, and the ages strictly between 35 and 60 sum to 253. This is a standard year-age arrangement puzzle.

Q3. Directions: Read the following information carefully and answer the question given below. Eight persons P, Q, R, S, T, U, V, and W were born in different years, viz. 1945, 1956, 1961, 1973, 1978, 1989, 1996, and 2007, but not necessarily in the same order. S was born in an odd-numbered year. The difference between the present ages of S and V is 5. Only 3 people were born between V and T. The present age of W is twice the present age of Q. As many people were born between T and Q as between T and P. R was born in one of the years before P. (Calculate all ages with respect to the year 2018.) What is the difference between the ages of S and R?

1. 17
2. 18
3. 19
4. 16

Answer: 19

This is a year-based arrangement puzzle. Converting years to ages in 2018 and applying the constraints uniquely fixes the positions/ages of the persons. From the valid arrangement, the difference between the ages of S and R comes out to be 19 years.

Q4. Study the following information carefully and answer the question below. There are four floors in a building, and each floor has three flats. Flat 3 is east of Flat 2, and Flat 2 is east of Flat 1. The following conditions are given: - There are 6 persons on an even-numbered floor. - A multiple of 4 but less than 10 persons live in Flat 3 of Floor 2. - There are 4 persons in either Flat 1 or Flat 2 of Floor 4. - A multiple of 6 but less than 18 persons live in Flat 1 of Floor 2. - 10 people live in Flat 3 on Floor 1. - The total number of persons on Floor 2 is 26. - There are 11 persons in Flat 1 on an even-numbered floor. - The total number of persons on Floor 4 is 29. - The sum of the number of persons in Flat 3 across all floors is 37. - One of the odd-numbered flats on Floor 3 contains 7 persons. - The number of persons in Flat 1 of Floor 1 is the difference between the total number of persons on Floor 2 and the number of persons in Flat 3 of Floor 3. - The number of people in Flat 2 of Floor 3 is the square of the number of persons in Flat 1 of Floor 1. - The total number of persons in Flat 2 across all floors is 32. What percent of the total persons living in the building are living on the ground floor?

1. 43.75%
2. 56.25%
3. 44.25%
4. 53.75%

Answer: 43.75%

This is a floor-and-flat arrangement puzzle where the totals of each floor must be deduced from the clues. After determining the total number of persons in the building and the number on the ground floor, the required percentage comes out to 43.75%.