Question
The area (in sq, units) of the triangle formed by the
graphs of 8x + 3y = 24, 2x+8 = y and the x – axis is:Solution
8x + 3y = 24 and 2x + 8 = y and x-axis For base :- difference between x intercept For height :- point of intersection of two line For height = put y = 2x + 8 8x + 3(2x + 8) = 24 8x + 6x + 24 = 24 14x = 0, x = 0 Y = 2 × 0 + 8 = 8 → height Base :- x-intercept put y = 0 = 8x + 3 × 0 = 24 = [x1 = 3] = 2x + 8 = 0, x2 = -4] Difference = 3 – (- 4) = 7 Area of triangle = ½ × 7 × 8 = 28
What is the average speed of Boat?
I: Average speed of Bike is thrice that of average speed of Boat. Average speed of Van is 80 km/hr.
II...
How much time will train A take to cross a platform of length 400 m?
I. The train A crosses another train B in 40 seconds.
II. Both t...
What is the downstream speed of the boat?
Statement I: The speed of the boat is 15 km/hr.
Statement II: The boat rows up a river 30 km i...
By selling a product for Rs 540 how much profit was earned?
I. 25% profit would have been earned if it had been sold for Rs 450.
II. The p...
What is the speed of a train?
I. The train crosses a pole in 24 seconds.
II. The train crosses a platform of equal length in 48 seconds.
Find the total number of students in class II?
Statement I: The number of students in class I is 66.67% of the total number of students in both...
In an office, the number of men exceeds the number of women by 13. The average weight of all employees (men and women) is 5 kg hi...
P, Q and R together invested an amount of Rs. 55,000 in the ratio of 5:2:4 for different period of time. What was the amount of profit earned by...
Each question is followed by three statements I, II and III. You have to decide whether the data given in the statements are sufficient to answer the qu...
There are two cylindrical rollers - bigger and smaller. How many rotations will the bigger roller take to flatten a stretch of land (X)?
Stateme...
