TESTfunda - CAT Question of the Day 30-Mar-12

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Testfunda
30-Mar-12
CAT Question of the Day
What is the number of positive solutions to (x1000 + 1)(1 + x2 + x4 + … + x998) = 1000x999?
OPTIONS
 
 1)0
 2)1
 3)2
 4)999
 5)1000
Tip of the Day
Maintaining a very high accuracy in the verbal section is not as easy as it is in the Math and DI sections. Attempt more questions to compensate for this drop in accuracy.
Last year's Question of the day (29-Mar-11)
Rectangle ABCD is 70 units long and 40 units wide . Eighteen points (including A and C) are marked on the diagonal AC dividing the diagonal into 17 congruent pieces. Twenty-two points (including A and B) are marked on theside AB dividing the side into 21 congruent pieces. Seventeen non-overlapping triangles are constructed as shown. Each triangle has two vertices that are two of these adjacent marked points on the side of the rectangle, and one vertex that is one of the marked points along the diagonal of the rectangle. Only the left 17 of the 21 congruent pieces along the side of the rectangle are used as bases of these triangles.What is the sum of the areas of these 17 triangles in square units?

OPTIONS
 
 1)400
 2)500
 3)700
 4)600
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