List of top Quantitative Aptitude Questions on Algebra asked in CAT

A, B and C are defined as follows: $A = \frac{2.000004}{\sqrt{(2.000004)^2 + (4.000008)^2}}$
$B = \frac{3.000003}{\sqrt{(3.000003)^2 + (9.000009)^2}}$
$C = \frac{4.000002}{\sqrt{(4.000002)^2 + (8.000004)^2}}$
Which of the following is true about the values of the above three expressions?

$2^{73} - 2^{72} - 2^{71}$ is the same as:

In Sivakasi, each boy’s quota of matchsticks to fill into boxes is not more than 200 per session. If he reduces the number of sticks per box by 25, he can fill 3 more boxes with the total number of sticks assigned to him. Which of the following is the possible number of sticks assigned to each boy?

A circle is inscribed in a given square and another circle is circumscribed about the square. What is the ratio of the area of the inscribed circle to that of the circumscribed circle?

Three times the first of three consecutive odd integers is 3 more than twice the third. What is the third integer?

What was the ratio of schools having laboratory to those having library?

Let the consecutive vertices of a square S be A, B, C \& D. Let E, F \& G be the mid-points of the sides AB, BC \& AD respectively of the square. Then the ratio of the area of the quadrilateral EFDG to that of the square S is nearest to:

The number of integers $n$ satisfying $-n + 2 \ge 0$ and $2n \ge 4$ is:

How many schools had none of the three viz., laboratory, library or play-ground?