Question
The average age of (x + 4) students is 14 years. When a
tutor aged 30 years is included, the average increases by 1 year. Find x% of 900.Solution
Total age of students = 14(x + 4) years According to question, [14(x + 4) + 30] = (14 + 1)(x + 4 + 1) 14x + 56 + 30 = 15x + 75 14x + 86 = 15x + 75 15x – 14x = 86 – 75 x = 11 So, 11% of 900 = 99
A Solid Cone of height 18cm diameter of its base 36cm is cut from a wooden Solid sphere of radius 18cm. the percentage of wood wasted is ?
The total surface area of a cylinder is 2,200 cm². If its radius is 7 cm and height is expressed as (k + 13), then find the value of ‘k²’. (Use π...
The perimeter of a rectangle is 120% more than perimeter of a square of side 10 cm. If the length of rectangle is 250% more than side of square then fin...
In a rectangular floor of length and breadth of 21 metres and 6 metres, respectively, square tiles each of 2 metre edge length are to be laid. If the co...
- The area of the base of a rectangular reservoir is 960 m² and the volume of water contained in it is 38400 m³. Find the depth of the water in the reservo...
A cone has a radius of 6 cm and a slant height of 10 cm. What is the approximately surface area of the cone?
2[sin x – cos x]4 + 6[sin x + cos x]2 + 5[sin6 x + cos6 x]= ?
- A square has its side length equal to the radius of a circle. If the circle's area is 962.5 m², find the perimeter of the square.
Find the time taken by a pipe, which releases 120 m3 of water in a minute to fill an empty cylindrical tank of radius 10 m and height 8 m. [T...
If the ratio of areas of two circle is 36:49, then the ratio of their circumferences will be:
Relevant for Exams:
