gmat quant topic 6 co-ordinate geometry solutions

... coordinates (0,0) and b could have coordinates: (-10,0) (-8 ,6) (6, 8) (0,10) (6, 8) (8 ,6) (10,0) (8, -6) (6, -8) (0, 10) ( -6, -8) (-8, -6) There are 12 different ways to draw ab, and so there are ... Answer is C 2. From 1, a+b=-1. From 2, x=0, so ab =6. (x+a)*(x+b)=0x^2+(a+b)x+ab=0 So, x=-3, x=2 The answer is C. 3. (0 +6+ x)/3=3,x=3 (0+0+y)/3=2,y =6 Answer is B 4. Just image that,...

Ngày tải lên: 14/05/2014, 16:55

... 9G + 12C = 561 Substituting equation (10) into (13) gives: (14) 9G + 8G = 561 (15) 17G = 561 ( 16) G = 33 So the farmer has 33 trees that are pure Gala. The correct answer is B. 16. For an overlapping ... clubs. We are told that 6 students sign up for exactly two clubs. Consequently: 59 = 77 – 2x – 6 2x = 12 x = 6 So, the number of students who sign up for all three clubs is 6....

Ngày tải lên: 14/05/2014, 16:55

... C. 20. Let the hypotenuse be x, then the length of the leg is x/root2. x+2x/root2= 16+ 16* root2 x+root*x= 16+ 16* root2 So, x= 16 Topic 3: Quadrilaterals 1. (1) INSUFFICIENT: The diagonals of a parallelogram ... theorem. In either case, CD = 6, but we know nothing about BD. (1) AND (2) SUFFICIENT: If BD = 6, and DC = 6, then BC = 12, and the area of ΔABC = 1/2(bh) = 1/2(12) (6 ) =...

Ngày tải lên: 14/05/2014, 16:55

... median. x y DATA SET MEDIAN 1 6 1, 1, 5, 6, 6, 7 5.5 2 5 1, 2, 5, 5, 6, 7 5 3 4 1, 3, 4, 5, 6, 7 4.5 4 3 1, 3, 4, 5, 6, 7 4.5 5 2 1, 2, 5, 5, 6, 7 5 6 1 1, 1, 5, 6, 6, 7 5.5 Regardless of the values ... – 4 y + xy + 2 y ) 6 = y + 3 (3 x + xy ) 6 = y + 3 x ( y + 3) 6 = y + 3 x ( y + 3) = 6 ( y + 3) x = 6. Given that y > 6 and substituting x = 6...

Ngày tải lên: 14/05/2014, 16:55

... + 16) is always positive, therefore | x 2 + 16| can be written x 2 + 16. Using this information, we can solve for x : | x 2 + 16| – 5 = 27 x 2 + 16 – 5 = 27 x 2 + 11 = 27 x 2 = 16 x ... x 2 / y 2 = 36/ 25, you may be tempted to take the positive square root of both sides and conclude that x / y = 6/ 5. However, since even exponents hide the sign of the variable, both 6...

Ngày tải lên: 14/05/2014, 16:55

... the units’ digit of 6 55 by recognizing the pattern: 6 1 = 6 6 2 = 36 6 3 = 2 56 6 4 = 1,2 96 As shown above, all positive integer exponents of 6 have a units’ digit of 6. Therefore, the ... – S 9 = 2 8 = 2 56. The correct answer is E 12. If S 7 = 3 16, then 3 16 = 2S 6 + 4, which means that S 6 =1 56. We can then solve for S 5 : 1 56 = 2S 5 + 4, so S...

Ngày tải lên: 14/05/2014, 16:55

... 1/2 16 43. 3/25 44. $3 .6 45. 7/8 46. 9/10 47. 143/152 48. 13/14 49. 13/18 50. 0 51. 1/5 52. 271/1000 53. 7/2 16 54. 2/25 55. ½ 56. 8/25 57. 1/24 58. B 59. A 60 . B 61 . C 62 . D 63 . B 64 . 4/7 65 . A 66 . The ... Combinations 2 1 35 1 × 35 = 35 3 2 33 2 × 33 = 66 4 3 30 3 × 30 = 90 5 4 26 4 × 26 = 104 6 5 21 5 × 21 = 105 7 6 15 6 × 15 = 90 8 5 10 5 × 10 = 50 9 4 6 4...

Ngày tải lên: 14/05/2014, 16:55

... in 6 years. Since we have used (J + 6) to represent Janet’s age in 6 years, and (C + 6) to represent Carol’s age in 6 years, we can translate the statement as follows: J + 6 = (1/2)(C + 6) . ... x=(510-480)/(1+3/2)=12, two result are conflict. Last week>= 36, then x=30/(2*3/2)=10. The number of the items more than 36 =(480- 36* 10)/20 =6, so, total number is 36+ 6=42 Abov...

Ngày tải lên: 14/05/2014, 16:55

... 26+ 26 2 + 26 3 , the units digit is 8. Answer is E 62 . C(4,1)C (6, 2)+C(4,2)C (6, 1)+C(4,3) =60 + 36+ 4=100 63 . C(9,1)C(9,1)C(8,1)C(7,1)=45 36 64. Answer: 10 65 . GMAT / Quant / P&C / Page 13 of 4 A derangement ... answer is E. 61 . With one letter, 26 stocks can be designated. With two letters, 26* 26 stocks can be designated. With three letters, 26* 26* 26 stocks can b...

Ngày tải lên: 14/05/2014, 16:55

... Problems Solutions Part II 5. PATTERNS In Action Problems Solutions 6. COMMON TERMS & QUADRATIC TEMPLATES In Action Problems Solutions 7. VISUAL SOLUTIONS In Action Problems Solutions ... & Guessing Tactics Part II: Cross -Topic Content Chapter 5 – Pattern Recognition Chapter 6 – Common Terms & Quadratic Templates Chapter 7 – Visual Solutions Chapter 8 – Hybr...

Ngày tải lên: 05/12/2013, 08:40