Directions : Study the information carefully and answer the questions given…
2018
Directions : Study the information carefully and answer the questions given below.
Six people Tarun, charu, Visakha, Monika, Anko and Viraj are born in different years with the current base is taken as 2018. None of them is older than 90 years old. They like different fruits apple, Orange, Grapes, Cherry, Mango, Banana.
Note- The last two digits or reverse of the last two digits of the year in which a person is born can be the age of some other person. (Like A is born in 1943 and age of B is denoted by the last two digits of the birth year of A. Then B’s age will be either 34 or 43).
Tarun was born in the year 1983. The difference of age between Tarun and Charu is 21 years. Visakha age is sum of the digits of the year in which Charu was born. The one who likes mango is 5 years elder to Visakha. Anko age is either the last two digits or reverse of the last two digits of the year in which the person who likes mango was born. Only one person is elder to Anko and Visakha likes apple. The one likes cherry is just younger to Anko. The difference between Viraj’s and the one who likes cherry is 24 years. The one who likes banana was born in an even year. The one who likes orange is younger to the one who likes grapes both in odd number of years. Monika is younger than Viraj.
In which of the following year Monika was born?
- A.
1995
- B.
2000
- C.
2012
- D.
2007
- E.
None of these
Attempted by 1 students.
Show answer & explanation
Correct answer: A
Concept
In an age-and-birth-year puzzle, fix every clue to the common base year (here 2018), so age = base year - birth year. Convert each verbal relation (difference, digit-sum, last-two-digits / reversed-last-two-digits, ranking) into an arithmetic equation, then resolve the branches one constraint at a time; a fully consistent puzzle leaves exactly one surviving arrangement.
Application - building the ages
Tarun is born 1983, so his age = 2018 - 1983 = 35.
The age gap between Tarun and Charu is 21, so Charu is 35 + 21 = 56 (born 1962) or 35 - 21 = 14 (born 2004).
Visakha's age = digit-sum of Charu's birth year. For 1962 that is 1+9+6+2 = 18; for 2004 it is 2+0+0+4 = 6.
The mango-lover is 5 years older than Visakha. So the mango-lover is 18+5 = 23 (born 1995) in the first branch, or 6+5 = 11 (born 2007) in the second.
Anko's age = the last two digits, or their reverse, of the mango-lover's birth year. From 1995 that is 95 or 59; since nobody exceeds 90, Anko = 59 (born 1959). The other branch (mango born 2007) would give Anko = 07 or 70, and the age 70 still looks viable at this point - it is only ruled out later by the cherry and Viraj clues below.
"Only one person is older than Anko" makes Anko the second-oldest. With Tarun 35, Charu 56, Visakha 18, Anko 59, exactly one remaining person must be older than 59 and the last one younger - this pins Viraj as the oldest and Monika in the gap.
The cherry-lover is just younger than Anko, i.e. the next age below 59, which is Charu at 56. The gap between Viraj and the cherry-lover (Charu, 56) is 24, so Viraj = 56 + 24 = 80 (born 1938). The only age left for Monika equals the mango-lover's, 23 (born 1995); Monika < Viraj holds (23 < 80).
Cross-check - the full grid
Assigning fruits by the remaining clues: banana-lover is born in an even year (only 1938 qualifies, so Viraj likes banana); the orange-lover is younger than the grapes-lover with both ages odd (35 and 59), so Tarun likes orange and Anko likes grapes; Visakha likes apple and the derived mango/cherry stand.
Person | Birth year | Age in 2018 | Fruit |
|---|---|---|---|
Tarun | 1983 | 35 | Orange |
Charu | 1962 | 56 | Cherry |
Visakha | 2000 | 18 | Apple |
Monika | 1995 | 23 | Mango |
Anko | 1959 | 59 | Grapes |
Viraj | 1938 | 80 | Banana |
Every clue is satisfied and the arrangement is unique, so Monika is born in 1995.