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Given below are three quantities named 1, 2 and 3. Based on the given information, you have to determine the relationship between the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. Quantity 1: Area of the innermost square. A square is made by joining the midpoints of a square of area 200 sq. m. The outermost square is called Square 1, The square inside it is called Square 2. The next square is made by joining midpoints of square 2 and is called Square 3. This process goes on. Square 5 is the innermost square. Quantity 2: A man starts with a speed of 10 km/hr. He increases his speed by 10 km/hr every hour at the start and drives at the same speed for that hour. If he traveled a total distance of 550 km. Find the time Quantity 3: Height of cylinder Its volume is equal to the volume of a cone whose radius is 14 cm and height is 39.3 cm. The radius of the cylinder is 14 cm
An operating system uses the Banker’s algorithm for deadlock avoidance when managing the allocation of three resource types X, Y, and Z to three processes P0, P1, and P2. The table given below presents the current system state. Here, the Allocation matrix shows the current number of resources of each type allocated to each process and the Max matrix shows the maximum number of resources of each type required by each process during its execution.   Allocation Max   X Y Z X Y Z P0 0 0 1 8 4 3 P1 3 2 0 6 2 0 P2 2 1 1 3 3 3   There are 3 units of type X, 2 units of type Y and 2 units of type Z still available. The system is currently in a safe state. Consider the following independent requests for additional resources in the current state: REQ1: P0 requests 0 units of X, 0 units of Y and 2 units of Z REQ2: P1 requests 2 units of X, 0 units of Y and 0 units of Z Which one of the following is TRUE?
The rate of electricity in the rural area is given below: i) up to 25 units - Rs 5 per unit ii) up to 75 units - Rs 7 per units iii) up to 100 units - Rs 9 per units iv) After 100 units - Rs 13 per units Additional charge after 100 units = Rs. 50 The consumption of the electricity of the household is 120 units. How much electricity bill he has to pay?
Raw material purchased:
1st January, 600 units @ Rs. 12 per unit
12th January, 500 units @ Rs. 14 per unit
21st January, 300 units @ Rs. 13 per unit
Raw material issued for manufacture:
3rd January 300 units
5th January 124 units
15th January 250 units
16th January 300 units
Raw material returned to stores from manufacturing department on 14th January, 50 units. The material is issued on First-in-First out method.
The value of material remaining in store on 21st January will be:
A rectangle of length 10 units and breadth 8 units is split into two squares each of area x square units and two rectangles each of area y square units. Consider the following statements : 1. y is always greater than x. 2. y can be 15 square units. Which of the above statements is/are correct?
In an equilateral triangle, another equilateral triangle is drawn inside joining the mid-points of the sides of the given equilateral triangle and the process continues uptofive times. What is the ratio of the area of fourth triangle to that of sixth triangle? (Original triangle is counted as 1st triangle)
A circle of maximum area is inscribed in the square. An equilateral triangle is inscribed in that circle and all the vertices of the triangle touch the circle. A triangle is formed by the joining of the midpoint of the sides of the equilateral triangle. Find the ratio of the area of the square and area of the triangle which is formed by midpoints.
If beginning work in process equivalent units are 2500 units, work done in current period equivalent units are 3800 units and ending work in process equivalent units are 5000, then complete equivalent units in current period are
If beginning work in process equivalent units is 2500 units, work done in current period equivalent units is 3800 units and units completed in current period are 4000, then ending work in process equivalent units will be
In the given figure, ABC is a right-angle triangle, AB = 12 cm and AC = 15 cm. A square is inscribed in the triangle. One of the vertices of square coincided with the vertex of triangle. What is the maximum possible area (in cm2) of the square?