[Ques]: In a locality, the prevailing price of a 700 square feet property last year was US Dollar 1000. The owner made some additions and the 900 square feet property is now fetching a price of US Dollar 1500. By approximately what percent did the ratio of price to size increase from the previous year's price?
Options:
(A) 12
(B) 14
(C) 17
(D) 21
(E) 19
*Ans*: (C)
--CoT--: Initial price/area ratio = 1000/700 = 9000/6300
Revised mileage/weight ratio = 1500/900 = 10500/6300

[Ques]: Joel sailed for 3 hours at a speed of 20 miles per hour, then for 6 hours at 30 miles per hour and finally, 1 more hour at 40 miles per hour. What was the average speed of Joel during the whole sail?
.
Options:
(A) 25
(B) 27.5
(C) 28
(D) 30
(E) 32
*Ans*: (C)
--CoT--: 3 hours at a speed of 20 miles per hour gives us Distance = 20*3 = 60 miles
6 hours at a speed of 30 miles per hour gives us Distance = 30*6 = 180 miles
1 more hour at 40 miles per hour gives us Distance = 40*1 = 40 miles
Total Distance = 60+180+40 = 280 miles
Total Time = 3+6+1 = 10 Hours
Average Speed = 280 / 10 = 28 Miles per hour

[Ques]: An entrepreneurship competition requires registering teams to have 3 team members, at least one of which must be a technology co-founder. If all team members must come from the auditorium during the meet and greet event which has 4 technologists and 6 businessmen, how many possible team submissions are possible?
Options:
(A) 76
(B) 100
(C) 162
(D) 198
(E) 202
*Ans*: (B)
--CoT--: We have 3 scenarios here:
1) 1 tech2 businessmen: 4C1 x 6C2 = 60
2) 2 tech1 businessman: 4C2 x 6C1 = 36
3) 3 tech0 businessmen: 4C3 = 4
Total: 60+36+4 = 100

[Ques]: The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area?
Options:
(A) 10000
(B) 297
(C) 9279
(D) 2767
(E) 2676
*Ans*: (A)
--CoT--: 100 * 100 = 10000
125 * 80 = 10000