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How many distinct integral solution does 4|x|+5|y|<=200 have ?

Consider a rectangle ABCD of area 90 units. The points P and Q trisect AB, and R bisects CD. The diagonal AC intersects the line segments PR and QR at M and N respectively, What is the area of the quadrilateral PQMN?

123123123.....300 digits when divided by 99. what will be the remainder ?

what should be strategy for verbal section?

On a straight road XY, 100 m long, five heavy stones are placed 2 m apart beginning at the end X. A worker, starting at X, has to transport all the stones to Y, by carrying only one stone at a time. The minimum distance he has to travel is

The longest side of a triangle is 40 cm. Another side of the triangle is 20 cm. The area of the triangle is 320 cm2. Find the length of the third side.

The central park of the city is 40 metres wide. The mayor wants to construct two roads of equal width in the park such that the roads intersect each other at right angles and the diagonals of the park are also the diagonals of the small rectangle formed at the intersection of the two roads. Further, the mayor wants that the area of the two roads to be equal to the remaining area of the park. What should be the width of the roads?

no. of non negative integral solutions for x+2y+3z=8

Circle C, has a radius of 3 units. The line segment PQ is the only diameter of the circle which is parallel to the X axis. P and Q are points on curves given by the equations y−ax and y−2a respectively, where a<1. The value of a is:

Find the smallest four digit number which leaves a remainder of 4 and 6 when divided by 7 and 9 respectively?