Analytical Mathematics
-
There is a unique number of ten digits, for which the following holds-
- all digits from 0 up to 9 occur exactly once in the number;
- the first digit is divisible by 1;
- the number formed by the first two digits is divisible by 2;
- the number formed by the first three digits is divisible by 3;
- the number formed by the first four digits is divisible by 4;
- the number formed by the first five digits is divisible by 5;
- the number formed by the first six digits is divisible by 6;
- the number formed by the first seven digits is divisible by 7;
- the number formed by the first eight digits is divisible by 8;
- the number formed by the first nine digits is divisible by 9;
- the number formed by the ten digits is divisible by 10.
View SolutionSubmit Solution- 1,600.2K views
- 1 answers
- 0 votes
-
A traveler arrives in a small town and decides he wants to get a haircut. There are only two barbershops in town – one on East Street and one on West Street. The East Street barbershop is a mess, and the barber has the worst haircut the traveler has ever seen. The West Street barbershop is neat and clean, its barber’s hair looks as good as a movie star’s.
Which barbershop does the traveler go to for his haircut, and why?
View SolutionSubmit Solution- 1,603.1K views
- 2 answers
- 0 votes
-
You’re on a game show, and you’re given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what’s behind the doors, opens another door, say No. 3, which has a goat. He then says to you, “Do you want to pick door No. 2?” Is it to your advantage to switch your choice?
With you switch or stay with your door?
View SolutionSubmit Solution- 1,625.1K views
- 1 answers
- 1 votes
-
The two red lines in the diagram shown are drawn diagonally on the faces of a cube. What is the angle between them at the point where they join?
View SolutionSubmit Solution- 1,606.0K views
- 1 answers
- 0 votes
-
You can see a Swiss Cross in the attached picture. You can draw one on a sheet of paper. Now you have to draw two straight lines on that paper and cut along with those lines. After cutting, you must have four congruent pieces and also, you must be able to join them to make a square.
Can you do it?
View SolutionSubmit Solution- 1,605.8K views
- 1 answers
- 0 votes
-
Solve the number series by identifying the last number.
1 4 5 6 7 9 11 ?
View SolutionSubmit Solution- 1,603.6K views
- 1 answers
- 1 votes
-
- 1,610.8K views
- 1 answers
- 2 votes
-
- 1,610.1K views
- 1 answers
- 1 votes