This question tests your understanding of divisibility.Question If K is divisible by 3, 4 and 5, which of the following will also divide K? I. 3, 4 and 15 II. 12, 15 and 18 III. 5, 20 and 30 A. I only B. II only C. I and II only D. I and III only E. II and III onlyCorrect Answer : Choice D. I and III only.Explanatory AnswerIf K is divisible by 3, 4 and 5, K has to be a … [Read more...]

## SAT I Quant : Geometry : Scalene Triangles

Question How many scalene triangles with integer sides having a perimeter of 15 units exist, if one of its sides measures 3 units?A. 3B. 5C. 1D. 0E. 7Correct Answer : Choice C. Only 1 triangle.Explanatory AnswerData given a. The triangle is a scalene triangle. The measure of the 3 sides are different.b. Perimeter is 15. If the sides measure a, b and c units, then a + b + c … [Read more...]

## SAT Geometry : Scalene Triangles

Question If two sides of a scalene triangle have lengths 3 and 5, the perimeter of the triangle could be which of the following?I. 13II. 14III. 16A) I onlyB) II onlyC) III onlyD) II and III onlyE) I and II onlyCorrect Answer : Choice B. II only.Explanatory AnswerThe triangle mentioned in the question is a scalene triangle.i.e., the measure all 3 sides of the triangle are … [Read more...]

## SAT Coordinate Geometry : Equation of a Line

Question In the x-y plane, line l is perpendicular to line k. If the equation of line k is 3x - 7y = 21, what is the equation of line l if contains the point (0, 4)?(A) 3x + 7y = 4(B) 7x - 3y = 12(C) 7x + 3y = 4(D) 7x + 3y = 12(E) 7x + 3y = 28Correct Answer : Choice D. 7x + 3y = 12Explanatory AnswerEquation of line k is 3x - 7y = 21.Let us express the equation of line k in the … [Read more...]