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A 60% spirit solution is mixed with r% spirit solution in the ratio 1 : 3 such that a s% spirit solution is obtained. When a (s/3)% spirit solution is mixed with 55% spirit solution in equal ratio, an (r/2)% spirit solution is obtained. Which of the following can be determined? (A) Value of ‘r’ (B) Value of ‘s’ (C) Volume of the 60% spirit solution mixed initially (D) If 9 liters of r% spirit solution was mixed initially, what was the volume of the s% spirit solution thus obtained?
A chemical solution appears green when the salt concentration is 8 grams per litre (gpl) and red when it is 10 gpl. Pure water was added to the solution of 1 litre of 15 gpl solution till it turned green. Then 125 ml of the green solution is taken out and x grams of salt is added to the green solution to make it red. Another 500 ml of the final solution was taken out and y litres of green solution is added to get a resultant solution of concentration 9.6 gpl.  Assume adding salt doesn’t change its volume and find the ratio of x and y. 
Which of the following statements are correct? 1. The pair (AB) is controllable implies that the pair (ATBT) is observable. 2. The pair (AB) is controllable implies that the pair (ATBT) is unobservable. 3. The pair (AC) is observable implies that the pair (ATCT) is controllable. 4. The pair (AC) is observable implies that the pair (ATCT) is uncontrollable. where: A, B and C are having their standard meanings
Abhishek ordered 6 pair of red shoes and some pair of books. The price of a pair of red shoes is double than that of a pair of book. While preparing the bill the shopkeeper interchanged the number of pair of shoes and books by mistake which increased the bill by 40%. What was the ratio of the number of pair of red shoes and the number of pair of books in the original order?
Find the values of p for which the pair of equations 4x + 3y = 12 and px + 3y = 4 does not have a unique solution?
(4, 3) কেন্দ্র বিশিষ্ট এবং 5x –12y + 3 = 0 সরল রেখাকে স্পর্শ করে এমন বৃত্তের সমীকরণ কোনটি? (Which is the equation of a circle that touches the straight line 5x –12y + 3 = 0 and centered at (4, 3)?)
(4.3) কেন্দ্র বিশিষ্ট এবং 5x−12y+3=0 সরল রেখাকে স্পর্শ করে এমন বৃত্তের সমীকরণ কোনটি?( Which is the equation of a circle that touches the straight line 5x−12y+3=0 and centered at (4,3)?)
(4.3) কেন্দ্র বিশিষ্ট এবং 5x−12y+3=0 সরল রেখাকে স্পর্শ করে এমন বৃত্তের সমীকরণ কোনটি?( Which is the equation of a circle that touches the straight line 5x−12y+3=0 and centered at (4,3)?)
Which of the following explain the concept of values? (A) Values are beliefs tied inextricably to human emotion and behaviour (B) Values refer to desirable goals people strive to attain (C) Values are conflict-free (D) Values are ordered by importance relative to one another (E) Values are utilized primarily to effect change in knowledge of a person Choose the correct answer from the options given below :
5x+12y-2=0 এবং 5x+12y+29=0 সমান্তরাল সরলরেখা দুইটির মধ্যে দূরত্ব কত?