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M03-06 25 May 2025, 04:04
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M03-06 02 Jun 2025, 02:39
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M03-06 06 Jul 2025, 07:19
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M03-06 12 Jul 2025, 08:47
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M03-06 12 Aug 2025, 23:07
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I did not quite understand the solution. last 2lines i didnt get
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M03-06 12 Aug 2025, 23:42
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Thanuja12
I did not quite understand the solution. last 2lines i didnt get
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Those last 2 lines are just showing an example to prove that 17 is possible.

We already found that the maximum possible value of x - 2y is slightly less than 19, so the largest prime it could actually equal is 17. Then the solution gives numbers that satisfy the constraints and make x - 2y = 17:

If x = 8 (less than 9) and y = -4.5 (greater than -5), then x - 2y = 8 - 2(-4.5) = 8 + 9 = 17.

That’s all those lines are doing, showing a working example.
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M03-06 29 Aug 2025, 19:51
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M03-06 06 Sep 2025, 12:12
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Ah I assumed that they had to be an integer, lesson learned.
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M03-06 27 Sep 2025, 10:17
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M03-06 27 Oct 2025, 10:46
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M03-06 29 Oct 2025, 15:04
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M03-06 04 Nov 2025, 14:15
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Though I got it wrong missing the fact that Question Stem didn't mark x and y to be integers, yet I find a different way to solve this without working on inequalities. As MAX PRIME NUMBER = x-2y is asked in the question, starting with option E the equation becomes as x-2y=17 >> x=17+2y; since sq(x)<81 so x has to be lower than 9 and in order to have x less than 9; the equation x=17+2y implies y to be negative. Now y<-4 "just slightly lower, dont reach to y=-5 as INTEGERS are not specified in the question stem", makes x<9 and we meet both the requirements of sq(x)<81 and sq(y)<25. Hope this helps.

If Option E wouldn't suffice, just quickly gauge through the equation as [X=OPTION+2y].
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M03-06 06 Nov 2025, 06:07
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M03-06 08 Nov 2025, 00:36
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M03-06 17 Nov 2025, 03:15
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M03-06 01 Dec 2025, 15:35
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I like the solution - it’s helpful. I fell for integer trap and marked 13
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M03-06 10 Dec 2025, 04:25
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M03-06 15 Dec 2025, 02:38
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