[Ques]: 8 teams.each teams play twice with other teams.win =2poins. lose =0 points. no draw/match abandonment.top four go semis.if same points runrate considered. whats the minimum num of points with which a team may go to semis
Options:
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
*Ans*: (C)
--CoT--: Minumum points for (may condition): 4

[Ques]: Find the product of the localvalue and absolutevalue of 6 in 20618?
Options:
(A) 6300
(B) 1100
(C) 1200
(D) 1300
(E) 3600
*Ans*: (E)
--CoT--: Local value of 6 = 6 x 100 = 600
Place value of 6 = 6
There fore = 6 x 600 = 3600

[Ques]: For some integer x, x^2 - 5 is divisible by all of the following EXCEPT
Options:
(A) 41
(B) 38
(C) 29
(D) 31
(E) 30
*Ans*: (E)
--CoT--: Hint: x^2-5 (x is an integer) is never multiple of 3 (try to prove this), hence 30 is out.

[Ques]: Suppose you have three identical prisms with congruent equilateral triangles as the end-polygons. Suppose you attach them by the rectangular faces so they are perfectly aligned. There will be some large faces created by two or more co-planar faces of the individual prisms: count each such large face as one. Given that, how many faces does the resultant solid have
Options:
(A) 4
(B) 6
(C) 9
(D) 10
(E) 12
*Ans*: (A)
--CoT--: To arrange them as described I did as follows on my scratch paper (see the file attached), where I counted 4 sides