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List of top Quantitative Aptitude Questions asked in Xavier Aptitude Test

OABC is a square where O is the origin and AB = 1. Consider the set of points S = (xi, yi) in the square such that xi + yi ≤ 1.

Let P(x1, y1) and Q(x2, y2) be two such points. Two operations addition (+) and multiplication (·) on S are defined as:

P + Q = (x1 + x2 − x1x2, y1y2)

P · Q = (x1x2,   y1 + y2 − y1y2)
  • XAT - 2010
  • XAT
  • Quantitative Aptitude
  • Coordinate Geometry
Let A1, A2, …, An be the points on the straight line y = px + q. The coordinates of Ak is (Xk, Yk), where k = 1, 2, …, n such that X1, X2, …, Xn are in arithmetic progression. The coordinates of A2 is (2, −2) and A24 is (68, 31).
  • XAT - 2010
  • XAT
  • Quantitative Aptitude
  • Coordinate Geometry
Determine the value(s) of “a” for which the point $(a, a^2)$ lies inside the triangle formed by the lines: $2x+3y=1$, $x+2y=3$ and $5x-6y=1$.
  • XAT - 2010
  • XAT
  • Quantitative Aptitude
  • Coordinate Geometry