How many persons are younger than U ........

Logical Reasoning (RBI) Puzzle Test

Directions: Study the information and answer the given questions:

There are eight people S, T, U, V, W, X, Y and Z, they are all born in different years, i.e.1947, 1953, 1958, 1967, 1974, 1982, 1994 and 2002 but not necessarily in the same order. But the date and month of birth of all these persons are same. The calculation is done with respect to the present year 2017 and assuming the months and dates to be the same. The difference between the age of S and U is a perfect cube. V’s age is a multiple of 5 but V is not the oldest person. The difference of age between V and S is equal to the age of V. Age of X is equal to the difference between the age of V and Y. T is second youngest among all of them. The difference of age between T and Z is a perfect square.

How many persons are younger than U?

This questions was previously asked in

RBI Grade B (16 August 2018)

View All RBIB Previous Year Papers

Four

More than four

Three

One

Two

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Explanation:

Let’s break this one down.

- We’ve got 8 people, each born in a different year: 1947, 1953, 1958, 1967, 1974, 1982, 1994, 2002. We’re anchoring everything to 2017, so their ages are 70, 64, 59, 50, 43, 35, 23, and 15.

- V’s age is a multiple of 5, but he’s not the oldest. The options for V: 15, 35, 50. (70 is the oldest, out for V.)

- V’s age minus S’s age equals V’s age, so S has to be 0! That doesn’t work—maybe V is exactly twice S, so S = V - V = 0 doesn’t make sense for ages. Seems like the intent is difference = V’s age; that only works if S = 0. So maybe it means the difference is *equal to* V’s age—so, S is half V’s age.

- X’s age is the difference between V and Y.

- T is the second youngest, so T is 23.

- Z and T’s age gap is a perfect square: the available options are 70-23=47, 64-23=41, 59-23=36 (6²!), 50-23=27, 43-23=20, 35-23=12, 15-23=8.

- Let’s put Z at 59, T at 23, so the difference is 36—a perfect square.

- The difference between S and U is a perfect cube: possible gaps are 1, 8, 27, 64.

- Process of elimination and pairing clues, eventually, you find that U fits with the year 1974—so U is 43 years old. Listing people younger than 43: 35, 23, 15—so three people.

Option 3: Three

What this really means:

- Z = 59

- T = 23 (second youngest)

- U = 43

- Younger than U: T (23), one at 15, one at 35

Bottom line: three folks younger than U.