Subject
Bank Exam
Topic
EXIM Bank Ltd. - Trainee Assistant Officer - (10.01.2020) 2019 [IBA, DU]
If 100 is divided into two parts in such a way that the sum of their reciprocals is 1/21, the difference between the two parts is -
If 100 is divided into two parts in such a way that the sum of their reciprocals is 1/21, the difference between the two parts is -
ক)
30খ)
40গ)
45ঘ)
50ঙ)
NoneExplanation
প্রশ্নে বলা হচ্ছে যে, 100 কে এমনভাবে দুইভাগে বিভক্ত করা হলো যেন তাদের বিপ্রত সংখ্যার সমষ্টি 1/21 হয় । সংখ্যা দুটির অন্তর কত ? ধরি, সংখ্যাটি x এবং y প্রশ্নমতে, x + y = 100................ ( i ) এবং 1/x + 1/y = 1/21 ............. ( ii ) সমীকরণ ( ii ) নং হতে পাই, 1/x + 1/y = 1/2 => (x +y)/xy = 1/21 => 100/xy = 1/21 ∴ xy = 2,100 এখন আমরা জানি, ( x - y) 2 = ( x + y ) 2 - 4xy => ( x - y) 2 = (100) 2 - ( 4×2,100) = 10,000 - 8,400 = 1,600 ∴ x - y = √1600 = √(40) 2 = 40Related questions
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ENORMOUS