Multiple choice

In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer. I. x2 + (343)1/3 = 56 II. (y)4/3 × (y)5/3 – 295 = 217

  1. if x > y

  2. if x ≤ y

  3. if x ≥ y

  4. if x < y

  5. if x = y or relationship between x and y can't be established
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Equation I: x^2 + 7 = 56 => x^2 = 49 => x = 7 or -7. Equation II: y^(4/3 + 5/3) - 295 = 217 => y^3 = 512 => y = 8. Comparing x and y, x is always less than y (7 < 8 and -7 < 8).

AI explanation

Simplifying the first equation gives x2 + 7 = 56, which means x2 = 49 and yields x = 7 or -7. Using exponent rules for the second equation, y(4/3 + 5/3) - 295 = 217 simplifies to y3 = 512, giving y = 8. Comparing the values, both 7 and -7 are less than 8, which means x is always less than y.

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