What is the ratio of x:y:z? (1) z = 1 and xy =32 (2) x/y = 2 and z/y =

(1) z= 1 and xy =32, We need x/y; here x and y can take any value, so not sufficient

(2) x/y = 2 => x = 2y

z/y = 1/4 => z = y/4

So x:y:z = 2y:y:y/4 = 2: 1: 1/4 sufficient

Answer : B

We need to determine the ratio of x:y:z, which is equivalent to expressing x, y, and z in terms of a common factor and then simplifying the resulting expression.

Statement (1) gives us z = 1 and xy = 32. We can substitute z = 1 into the ratio expression to obtain x:y:1. However, we cannot determine the values of x and y from this information alone. For example, x could be 4 and y could be 8, or x could be 8 and y could be 4, among other possibilities. Therefore, statement (1) is not sufficient to answer the question.

Statement (2) gives us x/y = 2 and z/y = 1/4. We can rewrite x/y as x = 2y and z/y as z = (1/4)y. Substituting these expressions into the ratio expression gives us:

x : y : z = 2y : y : (1/4)y = 8 : 4 : 1

Therefore, the ratio of x:y:z is 8:4:1. Statement (2) alone is sufficient to answer the question.

What is the ratio of x:y:z?

(1) z = 1 and xy =32

This does not give us a relationship between x, y and z. Hence, Insufficient.

(2) x/y = 2 and z/y = 1/4

x = 2y
z = y/4

with the information gien we can find the value of x:y:z

Sufficient.

Ans. Option B