Speed of the car
A wheel of car of radius 21 cm is rotating at 600 RPM. What is the speed of car in km/hr?
The number of his ancestors
A person has 2 parents 4 grandparents, 8 great-grandparents, and so on. Find the number of his ancestors during the ten generations preceding his own.
the sum of squares of the roots of the equation
Find the value of ‘a’ such that the sum of squares of the roots of the equation x^2 – (a – 2)x – (a + 1) = 0 is least?
In drilling world’s deepest hole
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?
The integral value of ‘k’
What is the integral value of ‘k’ for which the quadratic equation x^2 – 6 x + k = 0 have real and distinct roots?
where 5A is an acute angle, find the value of A
Distance of the foot of the ladder from the building
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.
Find the value of ‘θ’
If sin 5θ = cos 4θ, where 5 θ and 4 θ are acute angles, find the value of ‘θ’.
Where θ is an acute angle
Find ‘θ’ , if sin(θ + 360) = cos θ, where θ + 360 is an acute angle.
The length of the ladder
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.
