Consider all possible seven-digit binary numbers having four 1s and three 0s. What is the sum of all such numbers?
Which of the cones can be formed from a sector of a circle of radius 10 by aligning the two straight sides?
Consider the sum of two numbers x and y whose sum ends in 9. Which of the following will necessarily end in 9?
Two straight roads R1 and R2 diverge from a point A at an angle of 120 degrees. Ram starts walking from point A along R1 at a uniform speed of 3km/hr. Shyam starts walking at the same time from A along R2 at a uniform speed of 2km/hr. They continue walking for 4 hours along the respective roads and reach points B and C on R1 and R2 respectively. There is a straight path connecting B and C. Then Ram returns to point A after walking along the line segments BC and CA. Shyam also returns to A after walking along line segments CB and BA. Their speeds remain unchanged. The time interval (in hours) between Ram’s and Shyam’s return to the point A is
In a quadrilateral ABCD, the diagonals AC and BD intersect at O. Let OA = 2, OB = 2, OC = 3, OD = 4 and AB = 3. The area of the quadrilateral is