Given that all the mid points are joined, this forms a rhombus inside the square whose diagonals are of lenghth equals the side (let 'a') of the square.And we have area of rhombus = 1/2 (product of diagonals)Directly we get area of rhombus as 1/2(a^2) == 1/2(area of square)
Let the side of outer square A be 2cmarea A= 4sqcmthen side of inner square B= root(2) {by pythagoras law }area B=2 sqcm which is half of bigger squareB=A/2
The hands of a clock coincide 11 times in every 12 hours(Since between 11 and 1 they coincide only once,i.e at 12 o clock).therefore the hands of the clock coincide 22 times a day.
The clock will tick at 00:00 and then at between 1-2 between 2-3, 3-4, 4-5, 5-6, 6-7, 7-8, 8-9, 9-10, 10-11, 12 PM then 1-2, 2-3, 3-4, 4-5, 5-6, 6-7, 7-8, 8-9, 9-10, 10-11, and between...
22 is the correct answer.Because the clock will tick at 12 and at between 1-2,bet 2-3, 3-4, 4-5, 5-6, 6-7, 7-8, 8-9, 9-10, 10-11, 12, 1-2,2-3, 3-4, 4-5, 5-6, 6-7, 7-8, 8-9, 9-10, 10-11, 12