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: The length of a rectangle is increased by 20% and its breadth is decreased by 20%. What is the effect on its area?
Options:
(A) 1288
(B) 9600
(C) 1000
(D) 10000
(E) 2887
a: Stream of consciousness: 100 * 100 = 10000
120 * 80 = 9600 The answer is (B).

question: The average of first 10 odd numbers is?
Options:
(A) 44
(B) 10
(C) 99
(D) 77
(E) 62
answer: Stream of consciousness: Sum of 10 odd no. = 100
Average = 100/10 = 10 The answer is (B).

q: The inverse ratio of 3: 2: 1 is?
Options:
(A) 2:3:7
(B) 2:3:9
(C) 2:3:2
(D) 2:3:6
(E) 2:3:1
a: Stream of consciousness: 1/3: 1/2: 1/1 = 2:3:6 The answer is (D).

question: 252 can be expressed as a product of primes as:
Options:
(A) 2 x 2 x 3 x 3 x 7
(B) 2 x 2 x 3 x 3 x 8
(C) 2 x 2 x 3 x 3 x 6
(D) 2 x 2 x 3 x 3 x 1
(E) 2 x 2 x 3 x 3 x 2
answer: Stream of consciousness: Clearly, 252 = 2 x 2 x 3 x 3 x 7. The answer is (A).

question: The Average of six numbers is 8. The average of the first two is 11 and the average of the last three is 4. What is the middle number?
Options:
(A) A) 15
(B) B) 8
(C) C) 6
(D) D) 14
(E) E) 9
answer:
Stream of consciousness: The total of six numbers = 6X8 = 48
The total of first 2 and last 3 numbers is = 2 X 11+3 X 4 = 34
So, the middle number is (48 - 34 ) = 14 The answer is (D).