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Let N, x and y be positive integers such that N = x + y, 2 < x < 10 and 14 < y < 23. If N > 25, then how many distinct values are possible for N?
Correct answer is '6'. Can you explain this answer?
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Verified Answer
Let N, x and y be positive integers such that N = x + y, 2 < x <...
Given, 2 < x < 10 and 14 < y < 23 Þ 17 < ( x + y ) < 32 i.e. 17 < N < 32
But N > 25
hence 25 < N < 32
N can take 6 distinct values.
But N > 25
hence 25 < N < 32
N can take 6 distinct values.
Most Upvoted Answer
Let N, x and y be positive integers such that N = x + y, 2 < x <...
Since N = x * y and 2^N = (2^x)^y, we can rewrite the equation as:
2^(x * y) = (2^x)^y
Taking the logarithm of both sides with base 2, we get:
x * y = x * y
This equation is always true for any positive integer values of x and y. Therefore, there are infinitely many positive integer solutions for N, x, and y that satisfy the equation.
2^(x * y) = (2^x)^y
Taking the logarithm of both sides with base 2, we get:
x * y = x * y
This equation is always true for any positive integer values of x and y. Therefore, there are infinitely many positive integer solutions for N, x, and y that satisfy the equation.
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Let N, x and y be positive integers such that N = x + y, 2 < x < 10 and 14 < y < 23. If N > 25, then how many distinct values are possible for N?Correct answer is '6'. Can you explain this answer?
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Let N, x and y be positive integers such that N = x + y, 2 < x < 10 and 14 < y < 23. If N > 25, then how many distinct values are possible for N?Correct answer is '6'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Let N, x and y be positive integers such that N = x + y, 2 < x < 10 and 14 < y < 23. If N > 25, then how many distinct values are possible for N?Correct answer is '6'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let N, x and y be positive integers such that N = x + y, 2 < x < 10 and 14 < y < 23. If N > 25, then how many distinct values are possible for N?Correct answer is '6'. Can you explain this answer?.
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