Jaspreet walks 10 km towards the North from a temple. He then turns to his right and walks 4 km, turns to his right again and walks 13 km, and finally turns to his right and walks 8 km. Consider the following statements:
I. Jaspreet is now to the South-East of the temple.
II. Jaspreet is now 7 km away from the temple.
Which of the above statements is/are correct?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → Neither I nor II
Each right turn moves the facing direction one step clockwise: North → East → South → West. Keep track of the net east-west and north-south distances.
10 km North: 10 km north of the temple
Turns right, now facing East, 4 km: 4 km east, 10 km north
Turns right, now facing South, 13 km: 4 km east, \(13-10=3\) km south
Turns right, now facing West, 8 km: \(8-4=4\) km west, 3 km south
Statement I — Incorrect. Jaspreet is west and south of the temple, so he is to the South-West, not the South-East.
Statement II — Incorrect.
Distance \(=\sqrt{4^{2}+3^{2}}=\sqrt{16+9}=\sqrt{25}=5\) km, not 7 km
Neither statement is correct.
