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Multiple Choice Questions

What is the sum of ages of R and Q ........

Logical Reasoning(SBI-PO) Puzzle Test

Direction: Study the following information carefully and answer the questions given below:

There are 8 persons - P, Q, R, S, T, U, V and W live on eight floor building numbered from floor 1 to 8. The lowermost floor is numbered as 1, floor above it as 2 and so on. Each of them likes different colors - Red, Violet, Pink, Yellow, Black, Purple, Blue and White not necessarily in the same order. Each of them also has different birth year - 1954, 1969, 1983, 1989, 1995, 1997, 1999 and 2001 again not necessarily in the same order. Ages are calculated on the base year of 2019.

There is one floor between the floor on which U, who likes Red color and Q lives. T, who likes Yellow color lives immediately above the who likes White color. Q lives on the even numbered floor but not on the topmost floor. The age of S, who likes Violet color is multiple of 11. There are at least five floor between S and U. U lives somewhere above S but not immediately above S. Birth year of Q is even number. W lives immediately above S. The difference between the age of W and R is 20 years. Person likes Black color lives immediately above the person who likes Purple color and and immediately below the person who likes White color. V lives on floor numbered four. There are two floor between V and R. R neither lives on floor numbered one and nor likes Pink color. Person whose birth year is 1997 is lives on bottom most floor and likes Violet color. The age of P is two times the age of V. The age difference of R and Q is 35 years. U is not 20 years old.W is older than R.

What is the sum of ages of R and Q?

This questions was previously asked in

SBI PO Mains (29 Jan, 2021)

View All SBIPO Previous Year Papers

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Explanation:

Here’s what’s going on in this puzzle:

Let’s break it down step by step:

- 8 people, 8 floors, colored preferences, unique birth years, and ages based on 2019.

- U likes Red, lives somewhere above S but *not* immediately. At least 5 floors between them.

- S likes Violet, birth year is 1997, age is 22. S is on floor 1 (bottom).

- W lives immediately above S.

- V is on floor 4.

- Q is on an even floor, not on the topmost, and Q’s birth year is even.

- T likes Yellow and lives directly above whoever likes White.

- Someone likes Black, just above Purple and below White.

- R is 2 floors from V, can’t be floor 1, can’t like Pink.

- P’s age is 2 × V’s age.

- W is older than R.

- Difference in ages between R and Q is 35 years.

- Difference between R and W is 20 years.

- U is not 20 years old.

Now, hunt for R and Q’s ages and sum:

- We have S is 22 (1997), on floor 1, likes Violet.

- W is immediately above S (so floor 2). W must be older than R.

- Let's triangulate: age differences—Q and R differ by 35; R and W differ by 20.

Let’s try combinations of the allowed birth years:

1954 (65), 1969 (50), 1983 (36), 1989 (30), 1995 (24), 1997 (22, already used by S), 1999 (20), 2001 (18).

- Q must have *even* birth year: options—1954, 1989, 1994 (but 1994 isn’t present), 2000 (but not given), or 1983 (odd)—seems only 1954 or 1989 make sense.

Try Q = 1954 (65):

- Now, R must be either 30 or 100 (difference must be 35). 30 possible.

- W must be 50 or 10 (difference to R is 20). 50 is possible.

So: Q = 65, R = 30, W = 50.

Sum R and Q: 65 + 30 = 95

- Now, look at the given options:

- Option 1: 100

- Option 2: 105

- Option 3: 95

- Option 4: 89

- Option 5: 72

So, the correct answer is Option 3: 95.

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Quick breakdown of key clues:

- S on Floor 1, likes Violet, year 1997 (age 22—multiple of 11).

- Q is 65, even birth year, on an even floor, not topmost.

- R is 30, can’t be floor 1, can’t like Pink, lives two away from V.

- W immediately above S, is 50, older than R.

- Age difference math checks out (Q-R = 35, W-R = 20).

Final note:

If you get lost in the conditions, focus on unique-age clues and process of elimination with floors/colors/years. Once you anchor S (the only 1997), the rest fall into place.