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What is the distance between point P and point Q? 1. Point R is 20 m west of point P and point S is 30 m north of point P. 2. Point Q is 10 m south-east of point R. Point S is 20 m north-west of point Q.Data in statement 1 alone is sufficient to answer the question, while the data in statement 2 is not alone sufficient to answer the question.Data in statement 2 alone is sufficient to answer the question, while the data in statement 1 is alone sufficient to answer the question.If the data either in statement 1 or statement 2 alone is sufficient to answer the question.If the data even in both statements 1 and 2 together is not sufficient to answer the question.If the data in both statements 1 and 2 together is necessary to answer the question.

Question

What is the distance between point P and point Q? 1. Point R is 20 m west of point P and point S is 30 m north of point P. 2. Point Q is 10 m south-east of point R. Point S is 20 m north-west of point Q.Data in statement 1 alone is sufficient to answer the question, while the data in statement 2 is not alone sufficient to answer the question.Data in statement 2 alone is sufficient to answer the question, while the data in statement 1 is alone sufficient to answer the question.If the data either in statement 1 or statement 2 alone is sufficient to answer the question.If the data even in both statements 1 and 2 together is not sufficient to answer the question.If the data in both statements 1 and 2 together is necessary to answer the question.

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Solution

The data in both statements 1 and 2 together is necessary to answer the question.

Here's why:

From statement 1, we know the positions of points R and S relative to point P, but we don't know anything about the position of point Q relative to point P. So, we can't determine the distance between point P and point Q from statement 1 alone.

From statement 2, we know the positions of points Q, R, and S relative to each other, but we don't know their positions relative to point P. So, we can't determine the distance between point P and point Q from statement 2 alone.

However, if we combine the information from both statements, we can determine the position of point Q relative to point P, and thus we can determine the distance between point P and point Q.

So, the data in both statements 1 and 2 together is necessary to answer the question.

This problem has been solved

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