21. The ones digit of 3

^{2011}- 1 is
(A) 0 (B) 2 (C) 4 (D)
6 (E) 8

22. If x

^{2}+ x - 1 = 0, then x^{3}+ 2x^{2}+ 2011 is equal to
(A) 2009 (B) 2010 (C)
2011 (D) 2012 (E) 2013

23. In a village there
are 100 houses. There is a dog in 90 houses, a cat in 80 houses, a rabbit in 75
houses and a turtle in 65 houses. Among those 100 houses, how many, at least,
have a dog, a cat, a rabbit and a turtle ?

(A) 5 (B) 10 (C) 15
(D) 20 (E) None of these

24. A woman minister
is receiving guests. Half of the guests are women the other half are men. Each
guest gives a flower to the minister and moreover, each woman guest receives a
flower from every other guest. In all, 78 flowers have been given. How many
guests does the minister receive ?

(A) 10 (B) 12 (C) 14
(D) 16 (E) None of these

25. Let ABC be a
triangle with area equal to one. If BD = 2DA and EC = 2AE, then the area of the
rectangle DEGF is equal to

(A) 1/3 (B) 4/9 (C) 1/2
(D) 5/9 (E) 2/3

26. Two cyclists ride
along a circular path whose circumference is 10 km. The two cyclists start at
the same time, from diametrically opposite positions. The first cyclist goes at
a constant speed of 30 km/h in the clockwise direction, while the second goes
at a constant speed of 20 km/h in the counter clockwise direction. They both
cycle for 1 hour. How many times do they meet ?

(A) 2 (B) 3 (C) 4 (D) 5
(E) 6

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