Subject
Bank Exam
Topic
বাংলাদেশ ব্যাংক (সহকারী পরিচালক) - ২০.১০.২০২৩
Three boys agree to divide a bag of marbles in the following manner. The first boy takes one more than half the marbles. The second takes a third of the number remaining. The third boy finds that he is left with twice as many marbles as the second boy. The original number of marbles is -
Three boys agree to divide a bag of marbles in the following manner. The first boy takes one more than half the marbles. The second takes a third of the number remaining. The third boy finds that he is left with twice as many marbles as the second boy. The original number of marbles is -
ক)
38খ)
36গ)
32ঘ)
Cannot be determinedExplanation
মনেকরি, মার্বেলের সংখ্যা = x ১ম বালক নেয় = (x/2) + 1 অবশিষ্ট = x - {(x/2) + 1} = x - (x/2) - 1 = (x/2) - 1 ∴ ২য় বালক নেয় = 1/3{(x/2) - 1} = (x/6)- (1/3) অবশিষ্ট = {(x/2) - 1)- (x/6)- (1/3)} = {(x/2) - 1-(x/6) + (1/3)} = {(x/2) - (x/6)} - {1 - (1/3)} = {(3x - x)/6} - {(3 - 1)/3} = 2x/6 - 2/3 = x/3 - 2/3 প্রশ্নমতে, x/3 - 2/3 = 2{(x/6)- (1/3)} ⇒ x/3 - 2/3 = x/3 - 2/3 ⇒ x/3 - x/3 = 2/3 - 2/3 ⇒ 0 = 0 যা হতে স্পষ্ট যে, মার্বেলের সংখ্যা নির্ণয় করা সম্ভব নয়।Related questions
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