Question
Statement: Only a few Dew are Sprite.
Some Sprite are Coke. At least Coke are Fanta. Conclusion: Some Fanta is Dew. No Dew is Fanta. In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusion logically follows the given statements.Solution

Find the length of AB, if ΔABC ~ ΔRQP and AC = 22.5 cm, RP = 9 cm and RQ = 6 cm.
- The base of a right pyramid is an equilateral triangle with side 10 cm. If the height of the pyramid is 55√3 cm, calculate the volume of the pyramid.
If two triangles PQR and STU are congruent, then which of the following statement(s) is/are true?
I. PQ = ST
II. ∠PQR = ∠STU
- Determine the perpendicular drawn from a vertex to the opposite side in an equilateral triangle with side length 8√3 cm.
Find the length of AC, if ΔABC ~ ΔRQP and AB = 10 cm, RQ = 8 cm and RP = 12 cm.
Find the hypotenuse of an isosceles right-angled triangle where each of the equal sides is 7√5 cm.
- In triangle ABC, DE is drawn parallel to side BC. If AD = 6 cm, DB = 4 cm and AE = 9 cm, then find AC.
Area of a triangles with vertices at (2, 3), (-1, 0) and (2, -4) is :
- The base of a right pyramid is an equilateral triangle with side 8 cm. If the height of the pyramid is 36√3 cm, determine the volume of the pyramid.
An equilateral triangle ABC is surmounted on a square BCDE whose area is 500 cm². Find the altitude of triangle ABC.