q: In how many different ways can the letters of the word "POLICE" be rearrangement?
Options:
(A) 710
(B) 725
(C) 720
(D) 770
(E) 722
a: Stream of consciousness: Option 'C'
The total number of arrangements is
6P6 = 6! = 720 The answer is (C).


question: Calculate the circumference of a circular field whose radius is 8 centimeters.
Options:
(A) 17 π cm
(B) 18 π cm
(C) 1 π cm
(D) 16 π cm
(E) 6 π cm
answer: Stream of consciousness: Circumference C is given by
C = 2πr = 2π*8 = 16 π cm The answer is (D).


q: In May Mrs Lee's earnings were 60 percent of the Lee family's total income. In June Mrs Lee earned 20 percent more than in May. If the rest of the family's income was the same both months, then, in June, Mrs Lee's earnings were approximately what percent of the Lee family's total income ?
Options:
(A) 64%
(B) 68%
(C) 72%
(D) 76%
(E) 80%
a: Stream of consciousness: Say May income = 100
L's income = 60 and rest of the family = 40
In June L's income = 60 * 120 /100 = 72
So 72 /72 + 40 = 64% The answer is (A).


question: How many cubes will have 4 coloured sides and two non-coloured sides ?
Options:
(A) 5
(B) 4
(C) 3
(D) 2
(E) 1
answer: Stream of consciousness: Only 4 cubes situated at the corners of the cuboid will have 4 coloured and 2 non-coloured sides. The answer is (B).


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: A class consists of 100 students, 25 of them are girls and 75 boys; 20 of them are rich and remaining poor; 30 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is
Options:
(A) 3/200
(B) 1/59
(C) 1/56
(D) 1/54
(E) 1/53
a:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
Stream of consciousness: The probability of selecting girl is: 25/100 = 1/4
The probability of selecting rich is: 20/100 = 1/5
The probability of selecting fair complexioned is: 30/100 = 3/10
Three are independent;probability of rich and fair complexioned girl is:
(1/4) Ã—(1/5) Ã— (3/10) = 3/200 The answer is (A).