Q5) How many cards are picked up by Rohan?
2
3
1
4
Clear selection
Q6) How many cards are picked up by Meera?
1
2
5
6
Q7) How many cards are picked up by Sid?
4
3
6
1
Q8) How many cards are not picked by any of the three friends?
4
2
3
0
Answers
1.2 , 2.1 ,3.3 ,4.0....
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Answer: Q5) The card picked up by Rohan is 2x+1, as this expression always results in an even value for any real value of x. To see why this is the case, consider that if you add any even number to 1, the result will always be odd. However, if you add any odd number to 1, the result will always be odd. Since 2x is an even number (for any real value of x), it follows that 2x+1 is always an odd number. Therefore, Rohan picks a 0 card.
Q6) The card picked up by Meera is 3(x+4), as this expression is always a multiple of 3 for any real value of x. To see why this is the case, consider that 3 is a prime number and that the expression x+4 is always an integer (for any real value of x). If a number is divisible by a prime number and is also an integer, then it must be a multiple of that prime number. Therefore, 3(x+4) is always a multiple of 3, and Meera picks 1 card.
Q7) The card picked up by Sid is 4x+1, as this expression is a factor of 4x^2-1. To see why this is the case, consider that the expression 4x^2-1 can be factored as (2x+1)(2x-1). Since 4x+1 is one of the factors, it follows that it is a factor of 4x^2-1. Therefore, Sid picks 1 card.
Q8) Three cards are picked up by Rohan, Meera, and Sid, so there are 6 - 3 = 3 cards left that are not picked by any of the three friends. These cards are 2x-3, 3x-2, and 4(3x+1).
learn more about Even Numbers here
https://brainly.in/question/25581733#:~:text=Expert%2DVerified%20Answer&text=The%20even%20numbers%20from%201,%2C%2096%2C%2098%20and%20100.
learn more about prime numbers here
https://brainly.in/question/3802197#:~:text=Expert%2DVerified%20Answer&text=Here%20are%20the%20first%20few,%2C%20197%2C%20199%2C%20etc.
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