Permutation Puzzle

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 112.4K 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 Threedigit 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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In a mathematical quiz, you are asked the following question:
Use three 9s in a mathematical expression without dividing or multiplying to form the number one.
Can you answer the question?
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Two natural numbers have a sum of less than 100 and are greater than one.
John knows the product of the numbers and Jacob knows the sum of numbers.
The following conversation takes place between them:
John: ‘I am not aware of those numbers.’
Jacob: ‘I knew you wouldn’t be. I am not aware myself.’
John: ‘Now I know them!’
Jacob: ‘Now I know them, too!’What are the two numbers?
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Can you make the number 24 by utilizing the numbers 1, 3, 4 and 6? You must use one number only one time and you can use mathematical operation symbols anytime anywhere.
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