In drilling world’s deepest hole, it was found that the temperature T in degree Celsius, x km below the surface of Earth, was given by T = 30 + 25(x – 3) , 3 < x < 15. At what depth will the temperature be between 2000C and 3000C?
What is the integral value of ‘k’ for which the quadratic equation x^2 – 6 x + k = 0 have real and distinct roots?
A ladder 25m long reaches a window of a building 20m above the ground. Determine the distance of the foot of the ladder from the building.
If sin 5θ = cos 4θ, where 5 θ and 4 θ are acute angles, find the value of ‘θ’.
Find ‘θ’ , if sin(θ + 360) = cos θ, where θ + 360 is an acute angle.
A ladder is placed in such a way that its foot is at a distance of 5m from a wall and its tip reaches a window 12m above the ground. Determine the length of the ladder.
A shopkeeper recorded the data regarding the number of shirts sold in the month of September at its factory outlet. The data are given below in table. Study the data and suggest him, the production of which shirt size should he increased to earn the profit? Which measure do you use to find the most preferable shirt size? Size 85 cm 90 cm 95 cm 100 cm Total Frequency 100 600 500 300 1600 a) 85 cm, Mean b) 90 cm, Mode c) 95 cm, Median d) 92 cm, Mode
A class teacher arranges 8 students in a line according to ascending order of their height. The heights of students are given below. 135 cm, 145 cm, 150 cm, 165 cm, 140 cm, 152 cm, 160 cm, 158 cm Later a new student got admitted whose height is 154 cm. What is the median height of students now? Where the new student would be seated? a) 154 cm, in middle b) 158 cm, at 6th place c) 156 cm, at 7th place d) 155 cm at 4th place
Two friends Tina and Mina were playing a game. Tina drew a line and marked 4 at one end and 10 at other end. She asked Mina to stand at a position on line which is equidistance from both ends. Where should Mina stand to satisfy Tina’s condition?