题目

The ratio of 16 to g is equal to ratio of g to 49


Quantity A

g

Quantity B

28

选项

A.

Quantity A is greater.

B.

Quantity B is greater.

C.

The two quantities are equal.

D.

The relationship cannot be determined from the information given.

解析

根据题意可得到等式\(\frac{16}{g}=\frac{g}{49}\),通过交叉相乘可得\(g^{2}=16\times49\),即\(g^{2} = 784\),解得\(g=\pm28\) - 当\(g = 28\)时,\(A\)量(\(g\))和\(B\)量(\(28\))相等 - 当\(g=-28\)时,\(A\)量(\(g=-28\))小于\(B\)量(\(28\)) 由于\(g\)的值有两种可能,所以无法根据所给信息确定\(A\)量和\(B\)量的大小关系,答案为\(D\)
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