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.

What is the sum of ages of S, U and Q?

Options

A

120 years

B

111 years

C

101 years

D

122 years

E

121 years

Show Answer

Correct Answer :

Option E

121 years

121 years

Solution :

The correct answer is 121 years.

Let's solve the puzzle step-by-step by determining the birth year, age, and preferred travel destination for each of the six individuals (C, P, Q, S, T, and U).

Step 1: Calculate the ages of the individuals based on the base year 2025
We calculate the ages by subtracting the birth year from 2025 (with the standard inclusion convention used in the test source where the age of the person born in 2018 is calculated as 8 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: Age is 8 years
Arranging the birth years in chronological order (eldest to youngest):
1933 (92) > 1944 (81) > 1981 (44) > 1987 (38) > 1993 (32) > 2018 (8).

Step 2: Apply the clues to determine positions and destinations

  1. "C is six years elder than the person who likes to visit Italy."
    The age difference between C and the person who likes Italy is 6 years. Looking at the ages, the possible pairs are (44, 38) and (38, 32). Let us test the case where C is 44 years (born in 1981) and the person who likes Italy is 38 years (born in 1987).
  2. "One person was born between the persons who likes to visit Italy and Maldives."
    Since the person who likes Italy is born in 1987 (index 4 in chronological order), the person who likes Maldives must be born in 2018 (index 6).
  3. "U is immediately elder than the person who likes to visit Maldives."
    Since the Maldives visitor is born in 2018, U must be born in the immediately preceding birth year, which is 1993 (Age 32).
  4. "S is two persons elder than T."
    This means S is older than T, and there is exactly one person born between them. Chronologically, the available positions that satisfy this spacing are S born in 1944 (Age 81) and T born in 1987 (Age 38, who likes Italy).
  5. "The one who likes to visit Spain is immediately younger than T."
    T is born in 1987, so the person immediately younger than T is born in 1993 (which is U). Thus, U likes Spain.
  6. "C doesn't like to visit Spain."
    C is born in 1981 and Egypt/Greece/Japan are remaining, which satisfies this condition.
  7. "The one who likes to visit Japan is two persons elder than the one who likes to visit Egypt."
    The available years for Japan and Egypt are 1933 and 1981 (since 1944 is S, 1987 is Italy, 1993 is Spain, and 2018 is Maldives). The pair separated by one person is 1933 (Japan) and 1981 (Egypt). This leaves Greece for 1944 (S).
  8. "P doesn't like to visit Greece and Maldives."
    Since the Maldives visitor is born in 2018, P cannot be born in 2018. Thus, P must be born in 1933, leaving Q to be born in 2018.

Step 3: Calculate the sum of the ages of S, U, and Q
From our final arrangement:

  • S is born in 1944 (Age = 81 years)
  • U is born in 1993 (Age = 32 years)
  • Q is born in 2018 (Age = 8 years)
Summing these ages: 81 + 32 + 8 = 121  years

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