Six persons –C, P, Q, S, T and U– were born in different years among 1933, 1944, 1981, 1987, 1993 and 2018. The base year for calculating age is 2025. Each of them likes to visit a different place among Italy, Greece, Spain, Egypt, Maldives, and Japan (not necessarily in the same order).
C is six years elder than the person who likes to visit Italy. One person was born between the persons who likes to visit Italy and Maldives. U is immediately elder than the person who likes to visit Maldives. S is two persons elder than T. The one who likes to visit Spain is immediately younger than the T. C doesn’t like to visit Spain. The one who likes to visit Japan is two persons elder than the one who likes to visit Egypt. P doesn’t like to visit Greece and Maldives.
Which among the following statement is/are false?
I. U is elder than T.
II. C is 37 years elder than S.
III. S doesn’t like to visit Maldives.
Correct Answer :
Both I and II
Solution :
To determine which of the statements are false, let us first calculate the age of each person in the base year 2025. We can arrange the birth years and ages in descending order (from oldest to youngest):
We are given that C is six years older than the person who likes to visit Italy. Examining the ages calculated above, the only pairs with a difference of exactly 6 years are:
Let us define chronological positions from 1 (oldest, 1933) to 6 (youngest, 2018):
1. 1933 (Age: 92)
2. 1944 (Age: 81)
3. 1981 (Age: 44)
4. 1987 (Age: 38)
5. 1993 (Age: 32)
6. 2018 (Age: 7)
We have the following constraints:
Let's test the case where C is born in 1981 (position 3) and the person who likes Italy is born in 1987 (position 4):
We have the following layout so far:
Now, let's use the clue: "The one who likes Japan is two persons older than the one who likes Egypt."
Finally, we place the remaining individuals P and Q:
The complete final arrangement is:
| Birth Year | Age in 2025 | Person | Preferred Place |
|---|---|---|---|
| 1933 | 92 | P | Japan |
| 1944 | 81 | S | Greece |
| 1981 | 44 | C | Egypt |
| 1987 | 38 | T | Italy |
| 1993 | 32 | U | Spain |
| 2018 | 7 | Q | Maldives |
Therefore, statements I and II are false.
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