A brother and sister leave home for school. The brother goes 0.5 km East, then turns right and goes 3.5 km and reaches his school. The sister goes 2.5 km North, then 1 km West, then turns left and goes 6 km and reaches her school. Where is the brother's school with respect to the sister's school?

Let the brother and sister leave home from point O. The brother (red) goes 0.5 km East to A, then turns right and goes 3.5 km and reaches his school B. The sister (black) goes 2.5 km North, then 1 km West to point R, then turns left and goes 6 km  southwards and reaches her school S.

=> BS = $$1+0.5=1.5$$ km

$$\therefore$$ Brother's school is 1.5 km east with respect to the sister's school.

=> Ans - (D)