question: During a sale, the price of a pair of shoes is marked down 13% from the regular price. After the sale ends, the price goes back to the original price. What is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes?
Options:
(A) 9%
(B) 10%
(C) 11%
(D) 15%
(E) 90%
answer: Stream of consciousness: Assume the price = 100
Price during sale = 87
Price after sale = 100
Percent increase = 13/87*100 = 15% approx. The answer is (D).

q: Which of the following CANNOT be weighed using a balance scale and these unit weights: 2, 4, 7, and 10
Options:
(A) 16
(B) 15
(C) 18
(D) 19
(E) 21
a: Stream of consciousness: A. 13 (can be weighed by keeping weights of 10, 2 and 4 )
B. 15 (cannot be weighed)
C. 17 (can be weighed by keeping weights of 10 and 7 kg)
D. 19(can be weighed by keeping weights of 10, 2 and 7 kg)
E. 21 (can be weighed by keeping weights of 10, 7 and 4 kg) The answer is (B).

question: A certain number when divided by 39 leaves a remainder 20, what is the remainder when the same number is divided by 13?
Options:
(A) 11
(B) 5
(C) 8
(D) 7
(E) 9
answer: Stream of consciousness: 39 + 20 = 59/13 = 7 (Remainder) The answer is (D).

q: The average of seven numbers is 18. The average of first three numbers is 16 and the average of last three numbers is 20. What is the middle number?
Options:
(A) 20
(B) 22
(C) 25
(D) 18
(E) 24
a: Stream of consciousness: The total of seven numbers = 7X18 = 126
The total of first 3 and last 3 numbers is = 3 X 16+3 X 20 = 108
So, the middle number is (126 - 108 ) = 18 The answer is (D).

question: 8, 27, 64, 100, 125, 216, 343
Options:
(A) 40
(B) 100
(C) 290
(D) 102
(E) 293
answer: Stream of consciousness: The pattern is 23, 33, 43, 53, 63, 73. But, 100 is not a perfect cube. The answer is (B).

question: There are different 15 circles. What is the number of the greatest possible points with which the circles intersect?
Options:
(A) 390
(B) 100
(C) 110
(D) 180
(E) 210
answer:
Stream of consciousness: Maximum points of intersection between n different circles = n*(n - 1) = 15*14 = 210 The answer is (E).