The ratio of marbles owned by X and Y is 8:3. If X gives 8 marbles to Y, the ratio becomes 6:5. How many marbles does X have?
A. 28
B. 32
C. 40
D. 48
Explanation: মনে করি, X ও Y এর কাছে marble আছে যথাক্রমে \(8x\) ও \(3x\) টি। প্রশ্নমতে, \((8x-8)/(3x+8)=6/5 \Rightarrow 5(8x-8)=6(3x+8) \Rightarrow 40x-40=18x+48 \Rightarrow 22x=88 \Rightarrow x=4\). Therefore, X has \((8\times4)\) or 32 marbles.
Related Questions (Any University/Year)
- 50 জন ছাত্রের একটি শ্রেনিতে রূপমের স্থান হচ্ছে শীর্ষ থেকে অষ্টম এবং হাসিবের স্থান হচ্ছে নিচ থেকে বিমতম। তাহলে রূপম ও হাসিবের মাঝে কতজন ছাত্র আছে?
- The daily rate of a hotel room that accommodates 4 people is Taka 3900 for one person and Taka x for each additional person. If 3 people take the room for one day and each pays Taka 2100 for the room, what is the value of x?
- এক দোকানদার ১১০ টাকা কেজি দামের কিছু চায়ের সঙ্গে ১০০ টাকা কেজি দামের দ্বিগুণ পরিমাণ চা মিশ্রিত করে তা ১২০ টাকা কেজি দামে বিক্রি করে মোট ২,০০০ টাকা লাভ করল। দোকানদার দ্বিতীয় প্রকারে কত কেজি চা ক্রয় করেছিল?
- ১,০০০ টাকা ক ও খ ১ঃ ৪ অনুপাতে ভাগ করে নেয়। খ এর অংশ সে এবং তার মা ও মেয়ের মধ্যে ২ঃ ১ঃ ১ অনুপাতে ভাগ করে। মেয়ে কত টাকা পাবে?
- Shabbir has a brother one-fourth of his age and a sister two times of his age. If the combined age of all the three siblings is twenty more than thrice the age of the youngest, how old is Shabbir's sister?
- One copy machine can make 20 copies a minute, and a second copy machine makes 15 copies a minute. If the two copies work together, how long would it take them to make 2100 copies?
- ঢাকা থেকে চট্টগ্রামের দূরত্ব ২৪০ কি. মি.। একটি বাস ঘণ্টায় ৬০ কি. মি. গতিতে গিয়ে ঘণ্টায় ৪০ কি. মি. গতিতে ফিরে এল। বাসটির গড় গতিবেগ কত?
- Ajay ranked sixteenth from the top and twenty-ninth from the bottom among those who passed an examination. Six boys did not participate in the competition and five failed in it. How many boys were there in the class?
- 8 টি বানর 8 মিনিটে 8 টি কলা খায় , 3টি বানরের 3 টি কলা খেতে কত মিনিট লাগবে ?
- Diana bought a stereo for $530, which was the retail price plus a 6 percent sales tax. How much money could she have saved if she had bought the stereo at the same retail price in a neighboring state where she would have paid a sales tax of 5 percent?
- The quantity of water that should be added to reduce 10mI lotion containing 60% alcohol to a lotion containing 40% alcohol is
- The cost of pen is 20% more than that of a book and the cost of a CD is 3/4 as much as the cost of the pen. If the cost of the pen is tk 90 more than that oh the CD, what is the cost of the book in taka?
- Tom and Bill agreed to race across a 50 foot pool and back again. They started together but Tom finished 10-ft ahead of Bill. If their rates were constant and Tom finished the race in 27 seconds, how long did Bill take to finish it?
- If Robert can sell 40 envelopes in 1 minute and Paul can do the same job in 80 seconds how many minutes ( to the nearest minute) it will take the two of them working together, to seal 350 envelopes?
- The average of 5 positive integers is 60. If the average of 3 of these integers is 67, what is the greatest possible value that one of the other two integers can have?
- In a certain sock drawer, there are 4 pairs black socks, 3 pairs of back socks, 3 pairs of gray of gray socks and 2 pairs of corage socks. It socks removed at random without replaced, what is the minimum number of socks that must removes in order to ensure that two socks of the the same color have been removed?
- Rabib has x more marbles than Rafi has. Together they have y marbles.Which of the following represents the number of marbles that Rafi has?
- If (a + b) > 0 and \(\sqrt{(a+b)}>b\), which of the following must be true?
- In a class, the average score of boys in an examination is 86 and that of girls is 81. If the average score of the whole class is 83, then what percent of the class are the girls?