Subject
Bank Exam
Topic
Modhumoti Bank Ltd. - Probationary Officer - 2017
Two persons, X & Y are standing 50 yards apart on a North-South axis. X walks 65 yards to west and Y walks 55 yards to the East and both stop. Find the straight line distance in yards between these two positions ?
Two persons, X & Y are standing 50 yards apart on a North-South axis. X walks 65 yards to west and Y walks 55 yards to the East and both stop. Find the straight line distance in yards between these two positions ?
ক)
120খ)
170গ)
130ঘ)
140Explanation
Solution: প্রশ্নে বলা হচ্ছে যে, X এবং Y পরস্পর থেকে 50 গজ দূরে উত্তর-দক্ষিণ দিক করে দাঁড়িয়ে আছে । X পশ্চিম দিকে 65 গজ এবং Y এর পূর্বদিকে 55 গজ গিয়ে উভয়েই থেমে গেলা । এখন দুইজনের মধ্যে সরাসরি দূরত্ব কত গজ ? পীথাগোরাসের সূত্র অনুযায়ী, AB 2 = AC 2 + BC 2 এখানে, BC = BY + CY = 55 + 65 = 120 গজ AB 2 = 50 2 + 120 2 = 2500 + 14400 = 16900 => AB = = 130 গজ Shortcut: (5, 12, 13) সূত্রমতে, প্রথম দুটি 50 এবং 120 হওয়ায় শেষেরটি অর্থাৎ অতিভূজ 130 হবে ।Related questions
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