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Source: — Problem Solving |

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by Anurag@Gurome » Wed Jul 20, 2011 12:46 am
chaitanya.mehrotra wrote:If x > y, x < 6, and y> -3, what is the largest prime number that could be equal to x+ y?
-3 < y < x < 6

We have to maximize x and y such that (x + y) is prime. Now none of x and y cannot be larger than 6. Hence (x + y) must be smaller than (6 + 6) = 12. Largest prime number less than 12 is 11.

Hence, 11 is the largest prime number that could be equal to (x + y).
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by naveen451 » Fri Jul 22, 2011 12:35 am
Anurag@Gurome wrote:
chaitanya.mehrotra wrote:If x > y, x < 6, and y> -3, what is the largest prime number that could be equal to x+ y?
-3 < y < x < 6

We have to maximize x and y such that (x + y) is prime. Now none of x and y cannot be larger than 6. Hence (x + y) must be smaller than (6 + 6) = 12. Largest prime number less than 12 is 11.

Hence, 11 is the largest prime number that could be equal to (x + y).




i guess it is 7 not 11 bcoz x>y
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by top_business_2011 » Sat Jul 23, 2011 5:51 am
naveen451 wrote:
Anurag@Gurome wrote:
chaitanya.mehrotra wrote:If x > y, x < 6, and y> -3, what is the largest prime number that could be equal to x+ y?
-3 < y < x < 6

We have to maximize x and y such that (x + y) is prime. Now none of x and y cannot be larger than 6. Hence (x + y) must be smaller than (6 + 6) = 12. Largest prime number less than 12 is 11.

Hence, 11 is the largest prime number that could be equal to (x + y).




i guess it is 7 not 11 bcoz x>y
naveen451, never take for granted that the numbers must be integers, unless categorically stated.
Take for example X= 5.9 and Y= 5.1
X + Y = 11.
Be on a lookout for such traps!
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