Question
The average score of 24 students in a class is 78. If
the top 4 scores are removed, the new average score of the remaining students drops by 2 points, what is the average score of the top 4 scorer students?Solution
ATQ, Total score of 24 students = 24 ×78 = 1872 Original average = 78, New average = 76, Total score of the remaining 20 students = 20×76 = 1520 Score of top 4 scorer students = 1872-1520 = 352 Required average = 352/4 = 88
- Find the distance between the parallel sides of a trapezium whose area is 315 cm² and the lengths of the parallel sides are 15 cm and 21 cm respectively.
In triangle ABC, D lies on AB and E lies on AC such that DE || BC. If AD:AB = 2:5 and the area of triangle ABC is 175 sq cm, then the area of triangle A...
The area of two similar triangles is 361 cm² and 324 cm², respectively. What is the ratio of their corresponding altitudes?
What is the area of a triangle whose sides are 13 cm, 14 cm and 15 cm?
- Determine the area of a triangle if its base measures 19.2 cm and its corresponding height is 24.5 cm.
A triangle has sides 13 cm, 14 cm, and 15 cm. What is the radius of its incircle?
What is the height of an equilateral triangle with a side length of 16√11 cm?
Find the length of AC, if ΔABC ~ ΔRQP and BC = 21 cm, QP = 9 cm and RP = 15 cm.
- 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.
In a ∆ABC, angle BAC = 90°. If BC = 25 cm, then what is the length of the median AD?