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

E

All I, II and III

Show Answer

Correct Answer :

Option C

Both I and II

Both I and II

Solution :

First, let us calculate the ages of all six individuals in the base year 2025 based on their birth years:

  • 1933: 2025 - 1933 = 92 years
  • 1944: 2025 - 1944 = 81 years
  • 1981: 2025 - 1981 = 44 years
  • 1987: 2025 - 1987 = 38 years
  • 1993: 2025 - 1993 = 32 years
  • 2018: 2025 - 2018 = 7 years

Let us arrange the birth years and ages in descending order (from eldest to youngest):

Rank (Elder to Younger) Birth Year Age (in 2025) Person Place
1 1933 92 P Japan
2 1944 81 S Greece
3 1981 44 C Egypt
4 1987 38 T Italy
5 1993 32 U Spain
6 2018 7 Q Maldives

Let's verify how this arrangement satisfies all given conditions:

  1. C is six years elder than the person who likes to visit Italy: C is 44 years old, and T (who likes Italy) is 38 years old (44 - 38 = 6 years).
  2. One person was born between Italy and Maldives: Italy (rank 4) and Maldives (rank 6) have exactly one person (rank 5) born between them.
  3. U is immediately elder than the person who likes to visit Maldives: U (rank 5) is immediately elder than Q (rank 6, who likes Maldives).
  4. S is two persons elder than T: S (rank 2) is two persons elder than T (rank 4).
  5. The one who likes Spain is immediately younger than T: U (rank 5, Spain) is immediately younger than T (rank 4).
  6. C doesn't like Spain: C likes Egypt, which is true.
  7. Japan is two persons elder than Egypt: Japan (rank 1) is two persons elder than Egypt (rank 3).
  8. P doesn't like Greece and Maldives: P likes Japan, which is true.

Now, let us evaluate the statements:

  • Statement I: U is elder than T.
    U (32 years) is younger than T (38 years). Hence, Statement I is False.
  • Statement II: C is 37 years elder than S.
    C (44 years) is younger than S (81 years). Hence, Statement II is False.
  • Statement III: S doesn’t like to visit Maldives.
    S likes Greece, so this is True.

Therefore, the false statements are Both I and II.

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