q: Six students are equally divided into 3 groups, then, the three groups were assigned to three different topics. How many different arrangements are possible?
Options:
(A) 30
(B) 60
(C) 90
(D) 180
(E) 540
a: Stream of consciousness: Ways of selecting group = 6C2 * 4C2 * 2C2 / 3! = 15
Three groups can select three subjects in 6 ways
Therefore total combinations = 15*6 = 90 The answer is (C).

question: The average mark obtained by 22 candidates in an examination is 45. The average of the first ten is 55 while the last eleven is 40 .The marks obtained by the 11th candidate is ?
Options:
(A) 2
(B) 0
(C) 9
(D) 8
(E) 6
answer: Stream of consciousness: It is clear that 22 x 45 = 10 x 55 + K + 11 x 40 K = 0 The answer is (B).

q: A football field is 10800 square yards. If 1200 pounds of fertilizer are spread evenly across the entire field, how many pounds of fertilizer were spread over an area of the field totaling 3600 square yards?
Options:
(A) 400
(B) 600
(C) 750
(D) 2400
(E) 3200
a: Stream of consciousness: Answer A) 10800 yards need 1200 lbs
1 Yard will need 1200/10800 = 1/9 lbs
3600 Yards will need 1/9* 3600 Yards = 400lbs The answer is (A).

question: There are different 10 circles. What is the number of the greatest possible points with which the circles intersect?
Options:
(A) 90
(B) 100
(C) 110
(D) 180
(E) 200
answer: Stream of consciousness: Maximum points of intersection between n different circles = n*(n - 1) = 10*9 = 90 The answer is (A).

q: The average of 11 results is 55, if the average of first five results is 49 and that of the last seven is 52. Find the fifth result?
Options:
(A) 4
(B) 5
(C) 7
(D) 8
(E) 9
a: Stream of consciousness: 1 to 11 = 11 * 55 = 605
1 to 5 = 5 * 49 = 245
5 to 11 = 7 * 52 = 364
5th = 245 + 364 605 = 4 The answer is (A).

q: Solve below question 6x - 1 = -13
Options:
(A) -8
(B) -2
(C) -5
(D) -4
(E) 1
a:
Stream of consciousness: 1. Subtract 1 from both sides: 6x - 1 + 1 = -13 + 1 2. Simplify both sides: 6x = -12 3. Divide both sides by 6: 4. Simplify both sides: x = -2 The answer is (B).