[Ques]: What is the Mode of the following data set R- {1,2,7,9,6,6,7,7}
Options:
(A) 1
(B) 2
(C) 7
(D) 6
(E) 9
*Ans*: (C)
--CoT--: Mode of a set is the data point that is repeated the most number of times. In the set given, 7 is repeated.

[Ques]: In Sam's hanger there are 23 boxes, 19 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 5 of them are filled with toys. How many boxes with electrical appliances are in Sam's hanger that is not for sale?
Options:
(A) 1.
(B) 2.
(C) 3.
(D) 4.
(E) 5.
*Ans*: (A)
--CoT--: Total boxes = 23
Filled with toys = 19
Filled with appliance = 4
Total boxes for sale = 8
Toy boxes for sale = 5
Appliance boxes for sale = 3
Appliance boxes not for sale = 4 - 3 = 1

[Ques]: In how many years does a sum of Rs. 5000 yield a simple interest of Rs. 16500 at 15% p.a.?
Options:
(A) 22
(B) 20
(C) 25
(D) 30
(E) 35
*Ans*: (A)
--CoT--: T = (100 * 16500)/(15 * 5000) = 22 years

[Ques]: Two pipes A and B can fill a cistern in 15 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Options:
(A) 17 1/4 min
(B) 28 1/7 min
(C) 17 1/7 min
(D) 13 3/7 min
(E) 17 5/7 min
*Ans*: (D)

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
--CoT--: 1/15 + 1/30 - 1/40 = 9/120
120/9 = 13 3/7