Two circles of radius 2 and centers O and P touch each other as shown in the figure. If AD and BD are tangents, then the length of BD is
I have some clocks in the room. Alarm is set in different clocks at different time intervals in integral multiple of a minute. Incidentally, all the alarms ring togetherafter 4 hrs. Find the maximum number of clocks inside the room.
How many ordered triplets of real numbers (x, y, z) are there which satisfy the following equations:(x + y)(x + y + z)= 120(y + z)(x + y + z)= 96(x + z)(x + y + z)= 72
A question paper consists of three sections consisting of 2,3 and 4 questions respectively. Attempting one question from each section is compulsory but a candidateneed not attempt all the questions. In how many ways can a candidate attempt the questions?
The work done by 2 men in a day is equal to the work done by 3 children in a day. The work done by 3 men in a day is equal to the work done by 5 women in a day.It takes 10 days for a man, a woman and a child to complete a job working together. How many days will 2 children working together take to complete the same job?
A series N has terms in the following order 1, 4, 18, 96, 600,………What is the remainder when sum of first 12 terms of the given series is divided by 13?
A basket contains only three kinds of fruits – apples, cherries and pears. What is the minimum number of fruits that should be picked from the basket to ensure that atleast 5 apples or at least 7 cherries or at least 8 pears are picked?
When x = 10, the expression √1 + 2 + 3 + x has the value 4. For how many integers x < 10, √1 + 2 + 3 + x has an integral value?
