Analytical Mathematics
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You are playing a probability game with your friend using a fair coin. Both of you decide on a particular sequence that you have to achieve.
Let us suppose you chose the sequence to be: H T H
Your friend chose the sequence to be: H T TNow you keep tossing coins until you get the sequence and the same is done by your friend. You keep doing that till you achieve your predefined sequence and keep writing the result on paper. At the end of the game the player whose average number of tosses will be lowest, he will win.
The results of the game 1 toss:
You: H T T H T H
Your score: 6
Your friend: H T H H H T H H T T
Your friends’ score: 10The results of the game 2 toss:
You: T T H T T H H T H
Your score: 9
Your friend: T T H H T H T T
Your friends’ score: 8The results of the game 3 toss:
You: T T H H T H
Your score: 6
Your friend: H H T H T T
Your friends’ score: 6Now after 3 games, your average score is 7 and your friend’s average score is 8. Now assume that you keep playing the game and play many times. What will be the possible outcome of the following?
a) You win
b) Your friend win
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John is now two fifth of his older brother’s age and two years from now he will be half of his older brother’s age.
Two years ago, John was only one-fourth the age of his older brother age at that time.How old is John now?
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Find the value of \”a\” by solving the maths equation in the picture below:
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There is one four-digit whole number n, such that the last four digits of n2 are the original number n
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In a school, 280 students studied chemistry, 254 students studied physics and 280 students studied biology.
97 students studied chemistry as well as physics, 138 students studied physics as well as biology and 152 students studied chemistry as well as biology.
73 students studied all the three branches.
Can you find out the total number of students?
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A car meter reading shows 72927 miles a palindromic number.
what is the minimum number of miles you would need to travel to see another palindromic number on the car meter reading?View SolutionSubmit Solution- 168.9K views
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In a certain bank, a man deposits a certain amount. According to the bank policies, the amount will be doubled up in a year but as the service charge, they will also deduct Rs. 65 by the end of every year.
If after the 6th year, the amount becomes 0, what do you think is the original amount he deposited in the bank?
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Can you find the largest Three-digit number whose sum is 14 and whose square is less than 5,00,000?
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Bobby and Wilbur decided to take their respective car out of the garage and race. None of them cheated and they both stood at the start time and decided to cover a distance in full throttle. The first to reach the mark was to be declared the winner.
Upon reaching the finishing mark, they found out that Bobby’s car was 1.2 times faster than Wilbur’s. Now, Wilbur had reached the mark about 1 minute and 30 seconds later than Bobby. Bobby’s car reached the mark of 60 MPH on average.
Can you calculate the distance between the starting mark and the final mark with the help of the given data?
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There are two insects on a tile. Insect X is sitting on one side of the tile (point A) and Insect Y is sitting opposite on the other side of the tile (point B). Now both of them decide to change their position and thus X starts crawling to point B and Y starts crawling to point A. When they meet and pass each other in between, X takes 20 seconds to reach B and Y takes just 5 seconds to reach A.
Can you calculate the total time each of the insects took to change their positions?
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