Question
Statements: N < W; W ≤ A; G > A; Y ≥ A
Conclusions: I. Y ≥ W II. G > W III. N < A In the following question assuming the given statements to be true, find which of the conclusion among given five conclusions is/are definitely true and then give your answers accordingly.Solution
Combined inequality: N < W ≤ A < G and N < W ≤ A ≤ Y N < W ≤ A ≤ Y W ≤ Y. Hence conclusion I is true. N < W ≤ A < G G > W. Hence conclusion II is true. N < W ≤ A < G N < A. Hence conclusion III is true.
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.
In parallelogram ABCD, AB = 10 cm, BC = 7 cm and diagonal AC = 13 cm. Find the area of the parallelogram.
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:
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.
The length of the diagonal of a rhombus is 24 cm, and the perimeter is 80 cm. Find the area of the rhombus.
A solid hemisphere of radius 7 cm is melted and recast into small solid spheres each of radius 3.5 cm. How many such small spheres can be made?
What is 4(a³b ⁶ ) 16 × 16(a ⁴ b²)2 equal to?
Find the variance of the numbers 13, 16, 22, 17.
The ratio of the angles of a quadrilateral is 3:2:7:8. What is the sum of the largest and the smallest angle?