question: K-numbers are positive integers with only 2's as their digits. For example, 2, 22, and 222 are K-numbers. The K-weight of a number n is the minimum number of K-numbers that must be added together to equal n. For example, the K-weight of 50 is 5, because 50 = 22 + 22 + 2 + 2 + 2. What is the K-weight of 550?
Options:
(A) 10
(B) 11
(C) 12
(D) 13
(E) 15
answer: Stream of consciousness: 550 = 2*222 + (22*4) + 9*2
K weight of 600 = 2 +4+9 = 15 The answer is (E).


q: In how many different number of ways 6 men and 2 women can sit on a shopa which can accommodate persons?
Options:
(A) 1680
(B) 1800
(C) 2000
(D) 2100
(E) 2300
a: Stream of consciousness: 8p4 = 8 Ã— 7 Ã— 6 x 5 = 1680 The answer is (A).


question: Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Options:
(A) 7 1/8
(B) 7 1/6
(C) 7 1/5
(D) 7 1/2
(E) 7 1/1
answer: Stream of consciousness: 70 + 50 = 120 * 5/18 = 100/3 mps
D = 150 + 100 = 250 m
T = 250 * 3/100 = 15/2 = 7 1/2 sec The answer is (D).


q: Imagine a disk spinning like a record player turn table. Half of the disk is black and the other is white. Assume you have an unlimited number of color sensors. How many sensors would you have to place around the disk to determine the direction the disk is spinning? Where would they be placed?
Options:
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
a: Stream of consciousness: 1 sensor between the black and white border on the edge of disk
1 is enough to determine the drection The answer is (A).


question: 80 370 860 ? 2440 3530
Options:
(A) 900
(B) 840
(C) 750
(D) 860
(E) 1550
answer: Stream of consciousness: 10^2 - 20 = 80
20^2 - 30 = 370
30^2 - 40 = 860
40^2 - 50 = 1550
50^2 - 60 = 2440
60^2 - 70 = 3530. The answer is (E).


question: If rupee one produces rupees nine over a period of 42 years, find the rate of simple interest?
Options:
(A) 22 1/7 %
(B) 22 3/2 %
(C) 21 3/7 %
(D) 22 1/2 %
(E) 22 1/2 %
answer:

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: 9 = (1*42*R)/100
R = 21 3/7 % The answer is (C).