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**Read the following information carefully and answer the questions given below.**

All the streets of a city are either perpendicular or parallel to one another. The streets are all straight. Streets N, O, P, Q and R are parallel to one another. Streets S, T, U, V, W, X and Y are horizontally parallel to one another,

(i) Street N is 1 km east of Street O.

(ii) Street O is 1/2 km west of Street P.

(iii) Street Q is 1 km west of Street R.

(iv) Street S is 1/2 km south of Street T.

(v) Street U is 1 km north of Street V.

(vi) Street W is 1/2 km north of Street X.

(vii) Street W is 1 km south of Street Y.

**Which of the following is necessarily true?**

#### Options

R and O Intersect

Q is 2 km west of O

Y is 1.5 km north of X

Q is at least 2 km west of N

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#### Solution

Q is at least 2 km west of N

**Explanation:**

The vertical North-South streets are N, O, P, Q, R. From the basic information we have two relative positions are available - one between O, P and N and the other between Q and R.

The horizontal east-west streets are S, T, U, V, W, X, Y. of these seven streets the relative positioning is given in 3 distinct part as shown here:

Y is 1.5 km north of X is correct in all cases as the figure between X, W and Y shows. 'Q is at least 2 km west of N' is correct.

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