Question

Wilma, Xavier, Yaska and Zakir are four young friends, who have a passion for integers. One day, each of them selects one inWilma, Xavier, Yaska and Zakir are four young friends, who have a passion for integers. One day, each of them selects one integer and writes it on a wall. The writing on the wall shows that Xavier and Zakir picked positive integers, Yaska picked a negative one, while Wilma’s integer is either negative, zero or positive. If their integers are denoted by the first letters of their respective names, the following is true:
W⁴ + X³ + Y² + Z\(≤\) 4, 
X³ + Z \(≥\) 2, 
W⁴ + Y² \(≤\) 2, 
Y² + Z \(≥\) 3 
Given the above, which of these can W² + X² + Y² + Z² possibly evaluate to?

• A. 0
• B. 6
• C. 4
• D. 1
• E. 9

Answer 1

The Correct Option is B

The correct answer is option (B):6