q: How many five-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 3 ?
Options:
(A) 33
(B) 66
(C) 0
(D) 99
(E) 132
a: Stream of consciousness: A number ending with 3 can never be a perfect square. The answer is (C).
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q: The inverse ratio of 3: 2: 1 is?
Options:
(A) 2:9:5
(B) 2:3:0
(C) 2:3:5
(D) 2:3:6
(E) 2:3:1
a: Stream of consciousness: 1/3: 1/2: 1/1 = 2:3:6 The answer is (D).
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q: During a sale, the price of a pair of shoes is marked down 15% 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) 18%
(E) 90%
a:
Stream of consciousness: Assume the price = 100
Price during sale = 85
Price after sale = 100
Percent increase = 15/85*100 = 18% approx. The answer is (D).
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