One side of an equilateral triangle is 2 cms. The mid-points of its sides are joined to form another triangle whose mid-points are joined to form still another triangle. This process continues indefinitely. (i) Find the sum of the perimeters of all the triangles. (a) Cannot be determined (b) 4 (c) 12 (d) 8 (e) 10 Bonus Question (ii) Find the sum of the areas … [Read more...] about Geometric Sequence – Triangles
GRE Quant Practice Questions
Inequalities and Absolute Values
The solution set for the inequality |x+2| < |4x+1| (a) -3/5 < x < 1/3 (b) -1/3 < x < 3/5 (c) 0 < x < 1/3 (d) -1/3 < x < 1/3 (e) None of these Correct Answer: (E) Explanation Since the expressions on both sides of the inequality are under modulus, you can square on both sides without disturbing the inequality. (x+2)2 < … [Read more...] about Inequalities and Absolute Values
More Than One Answer – Equations
The cumulative expense of a group comprising 43 people was 229 cents. If each man spent 10 cents, each woman 5 cents and each child 2 cents, which of the following can be the total contribution made by the women? (a) 185 cents (b) 145 cents (c) 105 cents (d) 225 cents (e) 25 cents (f) 15 cents Correct Answer: (a), (b), (c), (e) Explanation: Let x, y, z be the … [Read more...] about More Than One Answer – Equations