Question

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. \((625)^\frac{{1}}{{4}} x + \sqrt{{1225}} = 155\)

II. \(\sqrt{{196}} y + 13 = 279\)

1. x > y
2. x < y
3. x ≥ y
4. x ≤ y
5. x = y or relationship between x and y cannot be established

Answer 1

Correct Answer - Option 1 : x > y

I. \((625)^\frac{{1}}{{4}} x + \sqrt{{1225}} = 155\)

⇒ \((5^4)^\frac{{1}}{{4}} x + 35 = 155\)

⇒ 5x = 155 – 35 ⇒ 5x = 120

⇒ \(x=\frac{{120}}{{5}} = 24\)

II. \(\sqrt{{196}} y + 13 = 279\)

⇒ 14y = 279 – 13 = 266

⇒ \(y = \frac{{266}}{{14}} = 19\)

Comparison between x and y (via Tabulation):

Value of x	Value of y	Relation
24	19	x > y

∴ Clearly x > y