Seven persons- A, B, C, D, E, F and G were born in different years from 1958 to 2012, but not necessarily in the given order. Their present ages are considered as of the year 2024. They bought different items- Keychain, Mobile, Shoes, Laptop, Headphones, Jacket and Lamp. All the information is not necessarily in the same order. The age of the person whose name starts with vowels is not an odd number.
Only two persons were born before D, who bought Mobile.
The age of the one who bought Mobile is 40.
So, the age of D = 40
Birthyear of D = 2024 - 40 = 1984
| Year | Age | Person | Items |
| | | |
| | | |
| 1984 | 40 | D | Mobile |
| | | |
| | | |
| | | |
| | | |
Two persons were born between F and A.
F was born immediately before the one who bought Lamp.
C was born after A.
Case 1:
| Year | Age | Person | Items |
| | F | |
| | | Lamp |
| 1984 | 40 | D | Mobile |
| | A | |
| | | |
| | | |
| | | |
Case 2:
| Year | Age | Person | Items |
| | A | |
| | | |
| 1984 | 40 | D | Mobile |
| | F | |
| | | Lamp |
| | | |
| | | |
Case 3:
| Year | Age | Person | Items |
| | | |
| | A | |
| 1984 | 40 | D | Mobile |
| | | |
| | F | |
| | | Lamp |
| | | |
The number of persons born before C is equal to the number of persons born after the person who was born in 1970.
If the born year is 1970. Then, the age will be 2024 - 1970 = 54
The age of the person whose name starts with vowels is not even number.
Thus, the age of A cannot be 54.
The age of the eldest person is more than 60.
Thus, Case 3 gets cancelled.
Case 1:
| Year | Age | Person | Items |
| | F | |
| 1970 | 54 | | Lamp |
| 1984 | 40 | D | Mobile |
| | A | |
| | | |
| | C | |
| | | |
Case 2:
| Year | Age | Person | Items |
| | A | |
| 1970 | 54 | | |
| 1984 | 40 | D | Mobile |
| | F | |
| | | Lamp |
| | C | |
| | | |
The person who was born in 1988 bought Laptop.
If the born year is 1988. Then, the age will be 2024 - 1988 = 36
Neither F nor C bought Laptop.
The age of the person whose name starts with vowels is not even number.
Thus, the age of A cannot be 36.
The age of the youngest person is less than 20.
Thus, Case 2 gets cancelled.
Case 1
| Year | Age | Person | Items |
| | F | |
| 1970 | 54 | | Lamp |
| 1984 | 40 | D | Mobile |
| | A | |
| 1988 | 36 | | Laptop |
| | C | |
| | | |
B was born immediately before the won who bought Keychain.
| Year | Age | Person | Items |
| | F | |
| 1970 | 54 | | Lamp |
| 1984 | 40 | D | Mobile |
| | A | |
| 1988 | 36 | B | Laptop |
| | C | Keychain |
| | | |
The age of the person whose name starts with vowels is not even number.
Thus, the Age of G will be 54.
| Year | Age | Person | Items |
| | F | |
| 1970 | 54 | G | Lamp |
| 1984 | 40 | D | Mobile |
| | A | |
| 1988 | 36 | B | Laptop |
| | C | Keychain |
| | E | |
The difference between the ages of B and E is 17 years.
Age of B = 36
Age of E = 36 - 17 = 19
Year of E = 2024 - 19 = 2005
| Year | Age | Person | Items |
| | F | |
| 1970 | 54 | G | Lamp |
| 1984 | 40 | D | Mobile |
| | A | |
| 1988 | 36 | B | Laptop |
| | C | Keychain |
| 2005 | 19 | E | |
The difference between the age of G and the one who bought Jacket is 10 years.
Age of G = 54
54 - 10 = 44, which will be the age of A.
But, The age of the person whose name starts with vowels is not even number.
Thus,
54 + 10 = 64
Thus, the age of F = 64
Year of F = 2024 - 64 = 1960
| Year | Age | Person | Items |
| 1960 | 64 | F | Jacket |
| 1970 | 54 | G | Lamp |
| 1984 | 40 | D | Mobile |
| | A | |
| 1988 | 36 | B | Laptop |
| | C | Keychain |
| 2005 | 19 | E | |
The one whose age is a square number was born immediately before the one who bought shoes.
Square number between 19 and 36 = 25
Thus, the age of C = 25
Year of C = 2024 - 25 = 1999
| Year | Age | Person | Items |
| 1960 | 64 | F | Jacket |
| 1970 | 54 | G | Lamp |
| 1984 | 40 | D | Mobile |
| | A | |
| 1988 | 36 | B | Laptop |
| 1999 | 25 | C | Keychain |
| 2005 | 19 | E | Shoes |
The difference between the ages of C and A is either 12 years or 13 years.
The age of the person whose name starts with vowels is not even number.
25 + 12 = 37
25 + 13 = 38, which is not possible.
Thus, the age of A = 37
Year of A = 2024 - 37 = 1987
| Year | Age | Person | Items |
| 1960 | 64 | F | Jacket |
| 1970 | 54 | G | Lamp |
| 1984 | 40 | D | Mobile |
| 1987 | 37 | A | Headphones |
| 1988 | 36 | B | Laptop |
| 1999 | 25 | C | Keychain |
| 2005 | 19 | E | Shoes |
This is the final arrangement.
Except for the one who bought the Keychain, the ages of all persons are even number.
Study Notes
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