Question Details

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.

Options

A

Both I and III

B

Only III

C

Both I and II

D

Both II and III

Show Answer

Correct Answer :

Option C

Both I and II

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):

  • 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

Step 1: Analyzing the relationship between C and the person who likes Italy

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:

  • (44, 38) where C is 44 (born in 1981) and the Italy-lover is 38 (born in 1987).
  • (38, 32) where C is 38 (born in 1987) and the Italy-lover is 32 (born in 1993).

Step 2: Placing S, T, Spain, Maldives, and U

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:

  • S is two persons older than T (i.e., S is at position k and T is at position k+2).
  • The person who likes Spain is immediately younger than T (position k+3).
  • C does not like Spain (so C cannot be at position k+3).
  • One person was born between the person who likes Italy and the person who likes Maldives.
  • U is immediately older than the person who likes Maldives.

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):

  • Since Spain is at position k+3, and the Italy-lover is at position 4, k+3 cannot be 4 (since Spain and Italy are different places).
  • This leaves k+3=5 (so k=2).
  • If k=2, then S is born in 1944 (position 2), and T is born in 1987 (position 4, likes Italy).
  • The person immediately younger than T is at position 5 (born in 1993) who likes Spain.
  • Since there is one person born between Italy (position 4) and Maldives, Maldives must be at position 6 (born in 2018). (Position 2 is occupied by S, who cannot like Maldives because of Statement III being true).
  • U is immediately older than the person who likes Maldives (position 6), so U is born in 1993 (position 5). Hence, U likes Spain.

Step 3: Determining the remaining destinations and persons

We have the following layout so far:

  • 1933 (Position 1): [Person] (Destination: Japan/Egypt/Greece)
  • 1944 (Position 2): S (Destination: Japan/Egypt/Greece)
  • 1981 (Position 3): C (Destination: Japan/Egypt/Greece)
  • 1987 (Position 4): T (Destination: Italy)
  • 1993 (Position 5): U (Destination: Spain)
  • 2018 (Position 6): [Person] (Destination: Maldives)

Now, let's use the clue: "The one who likes Japan is two persons older than the one who likes Egypt."

  • This means the person who likes Japan is at position j and the person who likes Egypt is at position j+2.
  • The only available positions for Japan and Egypt are 1 and 3. Therefore, Japan is at position 1 (1933) and Egypt is at position 3 (1981, C).
  • The remaining destination for position 2 (1944, S) must be Greece.

Finally, we place the remaining individuals P and Q:

  • Since P does not like Maldives, P cannot be at position 6. Therefore, P must be at position 1 (1933) and likes Japan.
  • Q must be at position 6 (2018) and likes Maldives.

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

Step 4: Evaluating the Statements

  • Statement I: U is elder than T.
    U is 32 years old and T is 38 years old. Thus, U is younger than T. This statement is False.
  • Statement II: C is 37 years elder than S.
    C is 44 years old and S is 81 years old. Thus, C is 37 years younger than S (81 - 44 = 37). This statement is False.
  • Statement III: S doesn't like to visit Maldives.
    S likes to visit Greece. This statement is True.

Therefore, statements I and II are false.

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