The average of five natural numbers is 150. A particular number among the five exceeds another by 100. The rest three numbers lie between these two numbers and they are equal. How many different values can the largest number among the five take?
In a triangle ABC, BK is an angle bisector. A circle with radius 5/3 passes through the vertex B, intersects AB at a point L, and is tangent to AC at K. It is known that the length of AC is 3√3, and the ratio of the lengths |AK| to |BL| is 6:5. what is the area of triangle ABC.
consider a circle with unit radius. there are seven adjacent sectors s1,s2,s3....s7 in he circle such that their total area is 1/16 of the area of the circle. further the area of the jth sector is twice that of the
(j-1)th sector,for j=2...7. what is the angle ,in radians,subtended by the arc of s1 at the centre?
In a trapezium PQRS PQ is parallel to RS and PQ=10 and RS = 20. A line UV is parallel to both PQ and RS and divides the distance between them in the ratio 2:3. What is the length of UV?
A cube is painted with red colour and then cut into 64 small identical cubes. If two cubes are picked randomly from the heap of 64 cubes, what is the probability that both of them have exactly two faces painted red? 1/4 31/63 23/168 47/84
Two friends – Prakash and Arpit – started running simultaneously from a point P in the same direction along a straight running track. The ratio of the speeds of Prakash and Arpit was 2 : 5 respectively. Two hours later, Arpit turned back and started running backwards at one-fifth of his original speed. He met Prakash at a distance of 10 km from the point P. What was Prakash's running speed?
ABC is an equilateral triangle inscribed in a circle of radius r.What is the area of the largest square that can be inscribed inside the triangle?Looking for the shortest method..If anyone got one..Please share..
In a triangle ABC, BK is an angle bisector. A circle with radius 5/3 passes through the vertex B, intersects AB at a point L, and is tangent to AC at K. It is known that the length of AC is 3√3, and the ratio of the lengths |AK| to |BL| is 6:5. what is the area of triangle ABC.