q: he population of a city is 160,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence?
Options:
(A) 1797787
(B) 1797723
(C) 179776
(D) 179728
(E) 179718
a: Stream of consciousness: Population after n years = P [1 + (R/100)]2
Population after 2 years = 160000 * [1 + 6/100]2 = (160000 x 53/50 x 53/50) = 179776 The answer is (C).

question: The average age of a class of 22 students is 10 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
Options:
(A) 30 Years
(B) 31 Years
(C) 33 Years
(D) 34 Years
(E) 49 Years
answer: Stream of consciousness: Total age of students is 22X10 = 220 Years
Total age inclusive of teacher = 23X (10+1) = 253
So, Teacher's age is 253-220 = 33 Yrs
There is a shortcut for these type of problems
Teacher's age is 10+(23X1) = 33 Years The answer is (C).

q: Look at this series: 72, 76, 73, 77, 74, __, 75, ... What number should fill the blank?
Options:
(A) 70
(B) 71
(C) 75
(D) 78
(E) 74
a: Stream of consciousness: There will be 2 series
1st: 72 73 74 75 76 (Increasing by 1)
2nd: 76 77 78 79 (Increasing by 1)
Final: 72 76 73 77 74 78 75 The answer is (D).

question: If 49 of 310 of 58 of a number is 45, what is the number?
Options:
(A) 450
(B) 550
(C) 560
(D) 650
(E) None of these
answer: Stream of consciousness: Number = 459108/435540 The answer is (E).

q: What is the maximum number of pieces of birthday cake of size 10" by 10" that can be cut from a cake 20" by 20"?
Options:
(A) 4
(B) 10
(C) 16
(D) 20
(E) 25
a: Stream of consciousness: The prompt is essentially asking for the maximum number of 10 x 10 squares that can be cut from a larger 20 by 20square. Since each 'row' and each 'column' of the larger square can be sub-divided into 2 'pieces' each, we have (2)(2) = 4 total smaller squares (at maximum). The answer is (A).

q: There are 18 balls in a jar. You take out 3 black balls without putting them back inside, and now the probability of pulling out a black ball is 1/3. How many blue balls were there in the beginning?
Options:
(A) 12.
(B) 9.
(C) 8.
(D) 7.
(E) 6.
a:
Stream of consciousness: 8 = 3 blue balls + 15 / 3 The answer is (C).