In the following question, one or two equation(s) is/are given. You have to solve both the equations and find the relation between ‘l’ and ‘m’ and mark correct answer. I. (729)1/3 l ÷ 423 = 1 II. 6 × (3375)1/3m

In the following question, one or two equation(s) is/are given. You have to solve both the equations and find the relation between ‘l’ and ‘m’ and mark correct answer.

I. (729)^1/3 l ÷ 423 = 1

II. 6 × (3375)^1/3m – (3240000)^1/2 = 36

A l > m

B l ≥ m

C l < m

D l ≤ m

E l = m or the relation cannot be determined

Solution

Correct Answer: Option A

We will solve both the equations separately.

Equation I:

(729)^1/3 l ÷ 423 = 1

\(\Rightarrow {\rm{\;}}\frac{{{{729}^{1/3}}}}{{423}}l\; = \;1\)

⇒ 9l = 423

⇒ l = 423/9 = 47

Equation II:

6 × (3375)^1/3m – (3240000)^1/2 = 36

⇒ 6 × 15m – 1800 = 36

⇒ 90m = 36 + 1800

⇒ m = 1836/90 = 20.4

Comparing the values of l and m we get,

l > m

Solution

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