What is the smallest positive integer K such that the product 1575 x K is a perfect square?
A. 7
B. 9
C. 15
D. 25
E. 63
সঠিক উত্তরঃ
A.
7
Explanation:

Related Questions (Any University/Year)
- ০.০৩×০.০০৬×০.০০৭=?
- There are 200 questions in a 3-hour examination. Among the questions are 50 mathematics problems. It is suggested that twice as much time be allowed for each mathematics problem as for each of the other questions. How many minutes should be spent on the mathematics problems?
- If one number exceeds another number by 13 and the large number is 3/2 times the smaller, then the smaller number is-
- যদি x<y, 2x=A এবং 2y=B হয়, তাহলে-
- A number when divided by a divisor leaves a remainder of 24. When twice the original number is divided by the same divisor the remainder is 11. What is the value of the divisor?
- Three workers P. Q. R can do a certain job at their own rate separately. If X represents the ratio of the work-speed of P and R, and Y represents the ratio of the work-speed of Q and R. such that \(X < Y\) and \(Y < 1\), who is the fastest worker of the three?
- A steel mill produces 180 tons of steel per month. Raw materials cost for each ton of production is Tk. 1200. Other expenses of that mill are Tk. 90,000 in each month. What should be the selling price of each ton of steel in order to make 10% profit?
- If x #0, then (x+7)/7x-1/x = ?
- If 6 workers can complete 9 identical job in 3 days, how long will it take 4 workers to complete 10 such jobs ?
- Each questions is followed by two statements. Decide whether the data in the statements are sufficient to answer the question. Select your answer according to whether: A TV was listed at a price that would have given the store a profit of 20% of the purchase cost. What is the purchase cost of the TV? (1) After reducing the listed price of the TV by 10%, the TV sold for a net profit of Tk. 10,000. (2) The TV was sold for Tk. 50,000.
- Of the 400 students in a business school, 30% were women and of these 1/5th became entrepreneurs. If the number of men who became entrepreneurs was twice the number of women entrepreneurs, how many men became entrepreneurs?
- ১৯৯৯ সালে, ডায়ানা ১০টি ইংরেজি বই এবং ৭টি ফরাসি বই পড়েছিলেন। ২০০০ সালে তিনি ইংরেজি বইয়ের চেয়ে দ্বিগুণ ফরাসি বই পড়েন। দুই বছরে তিনি যে বইগুলো পড়েছিলেন তার ৬০% যদি ফরাসি হয়, তাহলে ২০০০ সালে তিনি কতগুলো বই পড়েছিলেন?
- An ambulance travels 10 miles at a speed of 75 miles per hour. How fast must the ambulance travel on the return trip if the round-trip travel time is to be 20 minutes?
- If p denotes + , Q dentes -, R denotes ÷, and S denotes X, then what is the value of 18s36R12Q6p7?
- If x and y are integers, 13<x<25 and -2>y>-13, what is the greatest possible value of (x -y)?
- In a certain school, the ratio of Senior to Junior is 5:4, and the ratio of Senior to Sophomores is 6:5. What is the ratio of Junior to Sophomores?
- A man starts climbing a 11 m high wall at 5 pm. In each minute he climbs up 1m but slips down 50 cm. At what time will he climb the wall?
- A man and his wife have seven sons, and every one of the sons has a sister, How many are there in the family?
- এক মণ ধানে চাল ও তুষের ৭:৩ হলে এতে শতকরা কি পরিমাণ চাল আছে?
- Rachel, David, and Kristen decide to pool their money to buy à video game system. David contributes 4 dollars more than twice what Kristen does, and Kristen contributes 3 dollars less than Rachel does, If Rachel contributes r dollars, then, in terms of r, how much does David contribute?
- In a class of 200 students ,40 % are girls. 25% of the boys and 10% of the girls signed up for a tour to Cox's Bazar .What percent of the class signed up for the tour?
- চারটি মেশিন একই গতিতে একসাথে কাজ করে ৬ দিনে - x টি কলম উৎপাদন করতে পারে। ঐ একই গতিতে ৪ দিনে ৩x টি কলম উৎপাদন করতে কতটি মেশিনের কাজ করতে হবে?
- A nut mixture consists of peanuts, pistachios, and macadamia nuts in the ratio 5:3:2, respectively, by weight. What amount of pistachios will be in 40 pounds of the mixture?
- A man has Tk. 192 in one taka, five taka and ten taka notes. If he has equal number of notes of each type, the total number of notes will be.
- একটি মানচিত্রে ৩/৮ ইঞ্চি দূরত্ব ৫০ মাইলের সমান। দুটি শহরের মধ্যবর্তী দূরত্ব ৩.৭৫ ইঞ্চি। শহর দুটির প্রকৃত দূরত্ব কত?
- তিনটি মেশিন একটি কাজ যথাক্রমে ৪, ৫, ৬ ঘণ্টায় করতে পারে। দুইটি মেশিন সর্বোচ্চ ক্ষমতায় কাজ করে এক ঘণ্টায় কতটুকু কাজ করতে পারে?
- The ratio of girls to boys in a class is 8:7. The number of students in the class could be any of the following except
- A picnic was arranged by m students. Total cost of the picnic was estimated to be y taka. Unfortunately, z students withdrew their names from the picnic. How many more taka would each of the remaining students have to pay?
- Mr. Quddus rents a room for N months. He pays Tk. K for each of the first 7 months, and half that rate for each additional month. Find the total charge if N > 7.
- On a 400 mile trip ,car X traveled half the distance at 40 miles per hour and the other half at 50 miles per hour .What was the average speed of car X?
- If 2x+2x+2x+2x=2n, what is x in terms of n?
- Rehnuma has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has at least one of red color?
- How many spokes are there in a wheel of a car. If any two spokes from an angle of 15?
- একটি ভর্তি পরীক্ষায় একজন শিক্ষার্থীর প্রতিটি সথিক উত্তরের জন্য ১ নম্বর অর্জন করে এবং প্রতিটি ভুল উত্তরের ০.৫ নম্বর হারায়। কোন শিক্ষার্থী যদি ৬০ টি প্রশ্নে সবকটির উত্তর দিয়ে ৩০ নম্বর অর্জন করে থাকে , তাহলে ,উক্ত শিক্ষার্থী কয়টি প্রশ্নের সঠিক উত্তর দিতে পেরেছে?
- 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?
- In a certain shipment 2% of the boxes shipped were damaged. If the loss per damaged box was Tk. 35 and the total loss due to damage was Tk. 700, how many boxes were shipped?
- In a Class of 78 students 41 are taking French, 22 are taking German. Of the students taking French or German, 9 are taking both courses. How many students are not enrolled in either course?
- 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?
- There are 30 socks in a drawer. 60% of the socks are red and the rest are blue. What is the minimum number of socks that must be taken from the drawer without looking in order to be certain that at least two red socks have been chosen?
- At Lions High school 100 students are taking chemistry and 80 students are taking Biology. If 20 students are taking both chemistry and Biology , what is the ratio of the students taking only chemistry to the number taking only Biology?