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.
Four of the following five are alike in a certain way and thus form a group. Find the one which doesn’t belong to the group.
Correct Answer :
Q
Solution :
First, we calculate the age of each person in the base year 2025 based on their birth years:
- 1933: 2025 - 1933 = 92 years old
- 1944: 2025 - 1944 = 81 years old
- 1981: 2025 - 1981 = 44 years old
- 1987: 2025 - 1987 = 38 years old
- 1993: 2025 - 1993 = 32 years old
- 2018: 2025 - 2018 = 7 years old
Arranging the birth years and ages from oldest to youngest:
Now, let's analyze the clues step-by-step to determine the complete arrangement:
1. Clue: "C is six years elder than the person who likes to visit Italy."
Looking at the ages, the pairs with a difference of exactly 6 years are (44, 38) and (38, 32). Let us test the case where C's age is 44 (born in 1981) and the person who likes Italy has an age of 38 (born in 1987).
2. Clue: "One person was born between the persons who likes to visit Italy and Maldives."
Since the person who likes Italy is in the 4th position (1987), the person who likes Maldives must be in either the 2nd position (1944) or the 6th position (2018). Let's place Maldives in the 2nd position (1944).
3. Clue: "U is immediately elder than the person who likes to visit Maldives."
Since the person who likes Maldives is at position 2 (1944), U must be at position 1 (1933).
4. Clue: "S is two persons elder than T."
With positions 1 (U) and 3 (C) occupied, the only valid placement is S at position 2 (1944) and T at position 4 (1987). Since T is at position 4, T is the one who likes to visit Italy.
5. Clue: "The one who likes to visit Spain is immediately younger than the T."
Since T is at position 4 (1987), the person immediately younger than T is at position 5 (1993). Therefore, Spain is placed at position 5.
6. Clue: "C doesn’t like to visit Spain."
This is satisfied since C is at position 3 (1981) and Spain is at position 5 (1993).
7. Clue: "The one who likes to visit Japan is two persons elder than the one who likes to visit Egypt."
The remaining positions for places are 1, 3, and 6. For Japan to be two persons elder than Egypt, Japan must be at position 1 (1933) and Egypt at position 3 (1981). The remaining place, Greece, is assigned to position 6 (2018).
8. Clue: "P doesn’t like to visit Greece and Maldives."
The remaining positions for people are 5 and 6. Since P cannot be Greece (position 6), P must be at position 5 (1993). Consequently, Q must be at position 6 (2018).
The final arrangement is:
Let's check the options (P, U, C, T, Q):
- P: Born in 1993 (Odd year), Age 32 (Even age)
- U: Born in 1933 (Odd year), Age 92 (Even age)
- C: Born in 1981 (Odd year), Age 44 (Even age)
- T: Born in 1987 (Odd year), Age 38 (Even age)
- Q: Born in 2018 (Even year), Age 7 (Odd age)
All individuals in the group except Q are born in odd-numbered years and have even ages. Q is the only person born in an even-numbered year who has an odd age. Therefore, Q is the odd one out.
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