Question
'A' and 'D' together can finish a project in 40 days. If
'D' alone can complete 25% of the project in 15 days, then find out how long it takes for 'A' alone to finish the project.Solution
ATQ, Time taken by 'D' to complete the project alone = 15 × (100/25) = 60 days Let the total work be 120 units. {LCM (40 and 60)} Efficiency of 'A' and 'D' together = (120/40) = 3 units/day Efficiency of 'D' = (120/60) = 2 units/day Efficiency of 'A' = 3 - 2 = 1 unit/day Time taken by 'A' to complete the work alone = (120/1) = 120 days
In a parallelogram, the lengths of the diagonals are 24 cm and 10 cm, and the angle between the diagonals is 30°. Find the area of the parallelogram.
In a quadrilateral ABCD, the diagonals AC and BD intersect at right angles. If AC = 16 cm and BD = 12 cm, find the area of the quadrilateral.
The area (in square units) of the quadrilateral ABCD, formed by the vertices A (0, -2), B (2, 1), C (0, 4), and D (-2, 1) is:
Find the variance of the numbers 13, 16, 22, 17.
In parallelogram ABCD, AB = 10 cm, BC = 7 cm and diagonal AC = 13 cm. Find the area of the parallelogram.
The ratio of the angles of a quadrilateral is 3:2:7:8. What is the sum of the largest and the smallest angle?
What is 4(a³b ⁶ ) 16 × 16(a ⁴ b²)2 equal to?
In parallelogram ABCD, coordinates are A(1, 2), B(5, 4) and C(7, 6). Find the coordinates of D and the area of the parallelogram.
The diagonals of a parallelogram are 24 cm and 10 cm, and the angle between them is 60°. Find its area.
In a parallelogram, adjacent sides are 10 cm and 8 cm, and the included angle between them is 60°. Find the area of the parallelogram.
Relevant for Exams:
