Pythagoras Theorem
Pythagoras Theorem is a Aptitude concept from the MPSC syllabus, tested in 3 past MPSC questions (2017, 2018). Below are those real questions with their correct answers and explanations, plus the concepts worth being comfortable with first.
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Real questions that test this
'X' व 'Y' हे दोन विद्यार्थी त्यांच्या शाळेपासून घरी जाण्यासाठी चालू लागले. ते एकमेकांच्या परस्पर विरुद्ध दिशांना 1.5 किमी गेले आणि नंतर प्रत्येक जण त्याच्या उजवीकडे वळला व 2 किमी चालून घरी पोहोचला. तर त्यांच्या घरातील अंतर किती ?
Using Pythagoras theorem: X and Y walk opposite directions (1.5 km each = 3 km base), turn right and walk 2 km (perpendicular height). Total distance forms a right-angled triangle or straight line logic depending on paths. Calculating yields 5 km.
आकृती A व B ही चौरस क्षेत्रे आहेत. A चौरसाची बाजू 8 सेमी लांब आहे, तर B चौरसाचा कर्ण 8 सेमी लांबीचा आहे. या दोन क्षेत्रामधील फरक किती ? Figures A and B are square areas. Side of square A is 8 cm long and diagonal of square B is 8 cm long. What is the difference between the two areas ?
Area of square A with side 8 = 8² = 64. Area of square B with diagonal d = 8 is given by (d²)/2 = (8²)/2 = 64/2 = 32. Difference = 64 - 32 = 32.