Paper 1 · Mathematical Reasoning and Aptitude
UGC NET December 2022 (21.02.2023) Shift-II
A lady, while going to her college in a car, drove 20 km towards north and then 15 km towards west. She then turned to the south and covered 10 km. Further she turned to the east and moved 12 km. Finally she turned right and drove 10 km. How far and in which direction is the lady from her starting point?
A5 km, south
B5 km, west
C3 km, west ✓ Correct
D3 km, north
Correct answer: (C) 3 km, west — The lady is 3 km west of the start, so the answer is 3 km, west.
Explanation
★The lady is 3 km west of the start, so the answer is 3 km, west.
★She drives 20 km north, then 15 km west, then 10 km south.
★The 10 km south leaves her 10 km north of the start, still 15 km west.
★She then moves 12 km east, so she is now 15 minus 12, which is 3 km west.
★Finally she turns right from east to face south and drives 10 km south.
★This 10 km south cancels the remaining 10 km north, leaving no north-south shift.
★So she is 3 km west of the starting point.
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