CAT Exam

All Analysts are Engineers. One-third of all Engineers are Analysts. Half of all Technicians are Engineers. Only one Technician is an Analyst. Eight Technicians are Engineers. If the number of Engineers is 90, how many Engineers are neither Analysts nor Technicians?

Option
(1) 65
(2) 79
(3) 82
(4) 53

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CAT Other Question

The local park at Raghu's house is in the shape of a triangle. There are 4 posts along the longest side of the park and 2 and 3 posts along the other two sides respectively. If none of these posts is at any of the corners of the park, find the number of triangles that are possible with vertices at these posts.

Option
(1) 84
(2) 79
(3) 72
(4) None of these
Rajat draws a 10 x 10 grid on the ground such that there are 100 identical squares numbered 1 to 100. If he has to place two identical stones on any two separate squares in the grid, how many distinct ways are possible?

Option
(1) 2475
(2) 4950
(3) 9900
(4) 10000