gmat quant topic 8 - probability solutions

gmat quant topic 4 - numbers solutions

... out)(x-2)2 + (x+2)2 = 2x2 + 8 (again the -4 x and the 4x terms cancel out)(x-3)2 + (x+3)2 = 2x2 + 18 (the -6 x and 6x terms cancel out)(x-4)2 + (x+4)2 = 2x2 + 32 (the -8 x and 8x ... 13 Odd5 t5= 13 + 5 = 18 Even6 t6 = 18 + 6 = 24 Even7 t7 = 24 + 7 = 31 Odd 8 t 8 = 31 + 8 = 39 OddNotice that beginning with n = 1, a pattern of even-even-odd-odd emerges for tn.Thus ... 4)(s – 8) = 0s = 4 or 8. These are even integers so this works.Testing (C) we get:-s2 + 12s – 20 = 8 -s2 + 12s – 28 = 0s2+ 12s – 28 = 0Since there are no integer solutions...

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gmat quant topic 5 - geometry solutions

... 60.Answer is E 18. Sum of 4 angles = (n - 2) * 180 = 360From 1: sum of the remaining angles are 360 - 2*90 = 180 From 2: either x + 2x = 180 => x = 60Or x = 90/2 = 45 and y = 180 - 45 = 135.Answer ... rectangle is (x + 4)(x - 4), or x2 - 16. Their combined area is 2(x2 - 16), or 2x2 _ 32.Since we know that 2x2 = 9 68, the combined area of the two white rectangles is 9 68 - 32, or 936 square ... or x2 + 8x + 16. Likewise, the area of the smaller square is (x - 4)2 or x2 _ 8x + 16. Set up the following equation to represent the combined area:(x2 + 8x +16) + (x2 _ 8x +16) =...

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