Question
A jar initially contains a certain quantity of
buttermilk. After removing 8 liters of the mixture and replacing it with cream, this process is repeated twice more, with 10 liters and then 12 liters being taken out and replaced with cream each time. If the initial quantity of buttermilk in the jar is 80 liters, what is the final quantity of buttermilk in the jar?Solution
ATQ, we can say that Let Quantity of Butter milk from jar A = 3a Quantity of the cream from jar A = 2a Quantity of butter milk from jar B = 5b Quantity of cream from jar B = 6b Now, butter Milk in jar B = 5 × 5 = 25 liters cream in jar B = 6 × 5 = 30 liters (25 + 3a)/(30 + 2a) = 11/10 330 + 22a = 250 + 30a 8a = 80 a = 10 Quantity of jar A = 5 × 10 = 50 liters
If the perimeter of a square is 40 cm, what is the length of each side?
In the given figure, O is centre of the circle. Circle has 3 tangents. If ∠ QPR = 45 0 , then what is the value (in degrees) of ∠ QOR ?
Orthocenter of an right angle triangle lies on
The measure of an angle is one-third of its supplementary angle. Find its measure.
In the given figure. ‘O' is the centre of the circle and ∠BCA = 50°. The value of ∠BDA is:
The radius of the incircle of a triangle is 3 cm. if the area of the triangle is 12 cm 2 , then its perimeter is?
The length of the each side of an equilateral triangle is 7√3 cm . The area of circumcircle, (cm 2 ) is
- ABCD is cyclic quadrilateral in which A = 72º and B = 105º What is the difference between the measures of C and D?
If in a ΔABC, AD is internal angle bisector & D is a point on BC, AB = 6cm, BC = 9cm then what is BD:CD?
Relevant for Exams:
