Question

There are 5 friends P, Q, R, S and T standing randomly. Q is to the northeast of T. S is 2km to the east of T, who is 6km to the west of P. R is to the northwest of S and in the line of TQ. S is 4km the south of Q.

Q. What is the distance between T and Q?

• A. $3\sqrt{5}$
• B. $2\sqrt{5}$
• C. $2\sqrt{6}$
• D. 4
• E. None of these

Answer 1

The correct option is B $2\sqrt{5}$

The using the given information the figure can be drawn as
The distance between T and Q =$\sqrt{2^2+4^2}=2\sqrt{5}$