Question
Number of faculties in Physics and Biology in an
institute is in the ratio of 3:5 respectively. If 75 more faculties join Physics, while 40 more faculties join Biology, the respective ratio becomes 3:4. Originally what was the total number of faculties in both together? ÂSolution
Let the original number of faculties in Physics and Biology be 3x and 5x respectively According to the question,  => (3x + 75)/(5x + 40) = 3/4 => 15x + 120 = 12x + 300 => x = 60 Original number of faculties = 3x + 5x = 8x = 8 × 60 = 480
Let two chords AB and AC of the larger circle touch the smaller circle having same centre at X and Y. Then XY = ?
Find the area of triangle having sides 28 m, 45 m, and 53 m.
In the figure BD = CD = AC, ∠ABC = 27 ° , ∠ACD = y. Find value of x.
The radius of a circle is 5 cm, and the length of the chord is 6 cm. Find the distance between the chord and the centre of the circle. Â
In a trapezium, the lengths of the parallel sides are 20 cm and 30 cm, and the height is 12 cm. Find the area of the trapezium.
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...
In triangle ABC, the sides are AB = 13 cm, BC = 14 cm, and CA = 15 cm. What is the length of the altitude from vertex A to side BC?
Two angles are complementary. The larger angle is 6° less than thrice the measure of the smaller angle. What is the measure of the larger angle?
The radius of a circle is 17 cm, and the length of the chord is 30 cm. Find the distance between the chord and the centre of the circle. Â
Relevant for Exams:
