एक महिला उत्तर की ओर 12 km दौड़ती है, फिर वह दक्षिण की ओर 6 km तथा उसके पश्चात पूर्व की ओर 8 km दौड़ती है । अपने प्रस्थान बिंदु से वह किस दिशा में है ?
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A woman runs 12 km towards her North, then 6 km towards her South and then 8 km towards her East. In which direction is she from her starting point?
(a) An angle less than 45° South of East · (b) An angle less than 45° North of East · (c) An angle more than 45° South of East · (d) An angle more than 45° North of East
उत्तर और व्याख्या · explanation in English
Answer: (b) उत्तर-पूर्व में 45° से कम कोण पर
She ends 6 km North and 8 km East of the start. Because the northward part (6) is smaller than the eastward part (8), she is North of East at an angle below 45°.
- Net North = 12 − 6 = 6 km; East = 8 km.
- She is 8 km East and 6 km North of the start.
- tan θ = 6/8 = 0.75, which is less than 1, so the angle from East towards North is less than 45° (about 36.9°).
Remember · Compare the two net components: the direction lies within 45° of the axis with the larger component.
Question and answer: UPSC's official GS Paper II (2021, Series A) — paper ↗ · answer key ↗. Explanation: Minimalist IAS, checked 30 Sept 2026 (how we verify). ·