question: Right triangle PQR is the base of the prism in the figure above. If PQ=PR=5 and the height of the prism is 10, what is the volume of the prism?
Options:
(A) 5
(B) 10
(C) 15
(D) 20
(E) 25
answer: Stream of consciousness: Volume of prism = Area of base * height = 1/2* (square root of 5) * (square root of 5)*10 = 25 The answer is (E).

q: A boy runs 200 metres in 36 seconds. What is his speed ?
Options:
(A) 20 km/hr
(B) 24 km/hr
(C) 30 km/hr
(D) 32 km/hr
(E) 34 km/hr
a: Stream of consciousness: 200/36 * 18/5 = 20 km/hr The answer is (A).

question: What is the median from the below series
90, 92, 93, 88, 95, 88, 97, 87, and 98
Options:
(A) 85
(B) 89
(C) 92
(D) 98
(E) 100
answer: Stream of consciousness: Ordering the data from least to greatest, we get:
87, 88, 88, 90, 92, 93, 95, 96, 98
The median score is 92. The answer is (C).

q: a school has 4 maths 3 physics and 3 chemistry teachers each teacher can teach 2 subjects max what is he minimum number of teachers required
Options:
(A) 4
(B) 5
(C) 6
(D) 7
(E) 8
a: Stream of consciousness: Total subjects = 4 +3 +3 = 10
Max subjects by 1 teacher = 2
So, min of teachers required = 10/2 = 5 The answer is (B).

question: In a race with 30 runners where 5 trophies will be given to the top 9 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done?
Options:
(A) 9^5 ways
(B) 8^9 ways
(C) 7^8 ways
(D) 8^7 ways
(E) 8^6 ways
answer: Stream of consciousness: 9 people can be prized with 5 distinct prizes in 9^5 ways The answer is (A).

question: A can do a job in 20 days and B can do it in 30 days. A and B working together will finish twice the amount of work in days?
Options:
(A) 22 1/6
(B) 24
(C) 22 1/0
(D) 22 1/9
(E) 22 1/1
answer:
Stream of consciousness: 1/20 + 1/30 = 5/60 = 1/12
12 = 12 *2 = 24 days The answer is (B).