Question
Quantitative Ability and Data Interpretation Question on Algebra
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
6
Explanation
Solution
The correct answer is option (B):6