Question Details

(I) x3 = 125

(II) y2 = 25

Options

A

If x= y or no relation can be established

B

If x > y

C

If x < y

D

If x ≥ y

E

If x ≤ y

Show Answer

Correct Answer :

Option D

If x ≥ y

Solution :

The correct option is If x ≥ y.

Step 1: Solve Equation (I) to find the value of x.

x 3 = 125

Taking the cube root on both sides:

x = 125 3

x = 5

Step 2: Solve Equation (II) to find the values of y.

y 2 = 25

Taking the square root on both sides:

y = ± 25

y = 5  or  y = - 5

Step 3: Compare the values of x and y.

- When y=5, then x=y (since 5 = 5).
- When y=-5, then x>y (since 5 > -5).

Combining both cases, we get:

x ≥; y

Therefore, the relationship between x and y is x ≥ y.

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