GMAT Quantitative Reasoning Practice Test 4

Question : 94 of 100

Marks: +1, -0

Z

is a positive integer and

192^5

is a multiple of

8^Z

, what is the largest possible value of

Z

Solution:

Factorize

192^5

and see what can be the largest value of

Z

192=64 × 3=8 × 8 × 3 → 192^5=(8 × 8 × 3)^5=3^5 × 8^{10} .

The largest possible value of

8^z

which is a factor of

192^5

is the largest possible value of

Z

of which

8^z

is a factor of

8^{10}

Z =10

Go to Question:

Prev Question

Next Question