Question
The average score obtained by 29 students in a class
test is 68 marks. The top place was shared by 3 people who got the same score. If the lowest score was 40 marks, then which of the following could be the highest score obtained by toppers? (Marks scored by each student is a whole number)Solution
To maximize the toppers score, we must minimize the scores of everyone else. So, let the scores of other 26 students be 40 marks each. So, total marks obtained by 26 students = 40 x 26 = 1040 Remaining marks = 1972 - 1040 = 932 So, score of toppers = 932 ÷ 3 = 310 marks + 2 additional mark This additional mark could be obtained by any other student.
A regular hexagon is inscribed in a circle with a radius of 10 cm. Find the area of the hexagon.
The radius of a sphere is 12cm. The surface of the sphere is what percent of its volume
In the given figure, the lengths of AC and BF are 16 cm and 5 cm, respectively. The ratio of AE to CE is given as 5:3. Determine the perimeter of triang...
What will be inradius of a right angle triangle whose base is 13 cm & height is 84 cm ?
- Two circles have radii of 18 cm and 32 cm, and they touch each other externally. What is the length of a common tangent between them?
If the ratio of side of a ∆ is 3:4:5, and a ┴ from opposite vertex drawn to the biggest sides at D, if the length of biggest side is 10 then find ra...
If O is circumcentre of acute angled triangle ABC, if ∠ OBC = 180 then ∠BAC = ?
A cuboid of size 50 cm × 40 cm × 30 cm is cut into 8 identical parts by 3 cuts. What is the total surface area (in cm2) of all the 8 parts?...
In ΔABC, PQ is parallel to BC If AP: PB= 3:4 and AQ= 6 cm, AC is equal to?
 If the perimeter of a square is 40 cm, what is the length of each side?
Relevant for Exams:
