If 2 ^{x}X 3^{y} X 5^{z} = 360 then what is the value of x, y, z?

- a)3, 2, 1
- b)1, 2, 3
- c)2, 3, 1
- d)1, 3, 2

Correct answer is 'A'. Can you explain this answer?

Related Test: Test: Ratio And Proportion, Indices, Logarithms - 3

By
Kalpesh Kerkar
·
4 weeks ago ·CA Foundation

3 Answers

Dinesh Kukreja
answered
May 23, 2018

Given: 2^x X 3^y X 5^z = 360

=> 2^x X 3^y X 5^z = 36 x 10

= 12 x 3 x 5 x 2

= 2 x 2 x 3 x 3 x 5 x 2

so, 2^x X 3^y X 5^z = 2^3 x 3^2 x 5^1

So, x =3, y =2, z = 1.

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