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RULES
1. Make a figure of your own if you can. Do not rely blindly on the figure provided to you.
2. Use process of elimination.
3. Substituting numbers in place of variables.
4. Time given to a problem should be in limits.
5. Subtract to find area of the shaded region.
6. Pay attention to units (especially in graphs and speed problems)
7. Draw diagrams when not provided (ex mapping directions)
8. If quantities in both the columns are fixed numbers OR there are no variables, answer will never be D
TOPICS & HINTS
1. Factors and Multiples
2. PEMDAS
3. Inequalities [ <, > ]
4. Primes, composites, prime factors, lmc, gcd
5. 0 is an even number.
6. Gcd of fractions = Gcd of numerator / Lcm of denominator
7. Lcm of fractions = Lcm of numerators / Gcd of denominators
8. Percentages
9. Speed = distance / time
10. Look out for nos like 11, 13, 17 etc and see if the answer choices have multiples of them.
11. Mean (average)
12. Median = the number in the middle (different for odd and even numbered sets)
13. Mode = no that occurs the most no of times
14. If (2x – 3) = 100, what is (2x+3)
15. Odd and even numbers in the answers.
16. 30-60-90 triangles, 45-45-90 triangles, 3-4-5 triangles
17. Areas of geometric figures
18. For n-sided polygon, sum of measure of angles = (n-2) * 180. How ?
19. For a regular polygon of side n, measure of each
Interior angle = (n-2) * 180 / n
Exterior angle = 360 / n
20. Parallelograms and their areas.
21. 2 rectangles with same perimeter can have diff areas and vice-versa
21. For a given area, rectangle with smallest perimeter = square
22. For a given perimeter, rectangle with largest area = square
23. Circles, diameter, chord, arc (in Gre, arc means the smaller arc), areas, tangent.
24. Volume and surface area.
25. Diagonal in a cuboid or a box. Sums of length of edges in a cube = ?
26. Coordinate geometry - Distance formula (Pythagoras theorem), slopes of lines, etc
27. Slope of any line that goes up as you move from left to right is always positive.
28. Venn diagrams n(A u B) = n(A) + n(B) – n(A n B)
29. Probability, permutations and combinations
30. In a triangle -> Orthocenter, circumcenter (equi-distant from vertices), incenter (equi-distant from sides)
31. Centroid divides the median in the ratio of 2:1
32. No of diagonals in a polygon = [ n(n-1) / 2] – n
33. π = 180
34. Lcm is always divisible by Gcd
35. Lcm * Gcd = A * B
36. Time and Work problems, Inverse Proportion -> Men1*Days1 = Men2*Days2
37. Area of rhombus = 0.5*d1*d2
38. Interest -> simple and compound
39. Age problems
40. Modulus. Examples on 1 < |x| < 0
41. Data Interpretation and charts
42. Quadratic Equations
43. Similarity of Triangles
44. Sides of triangle. Sum of 2 sides is greater than the 3rd
45. 1+2+3+….n
46. Arithmetic Progression
47. Geometric Progression
48. Work Problems
49. Parallel Lines Concepts
50. Supplementary and Complementary Angles
51. Exponentiation
52. Square Root always has a positive value in GRE/GMAT/SAT