For every X, the action [X] is defined: [X] is the greatest integer less than or equal to X. What is the value of [6.5] x [2/3] + [2] x 7.2 + [8.4] – 6.6?
Answer(s): C
[6.5] x [2/3] + [2] x 7.2 + [8.4] – 6.6 = 6 x 0 + 2 x 7.2 + 8 - 6.6 = 15.8
What is the decimal equivalent of (1/5 )2
Answer(s): E
(1/5 )4 = (2/10 )4 = = 16 x 10-4 = 0.0016
How many four-digit numbers that do not contain the digits 3 or 6 are there?
Answer(s): B
The first digit has 7 possibilities (10 – 0, 3 and 6). The other three digits have 8 possibilities each. 7*8*8*8= 3584. The correct answer is B.
The telephone company wants to add an area code composed of 2 letters to every phone number. In order to do so, the company chose a special sign language containing 124 different signs. If the company used 122 of the signs fully and two remained unused, how many additional area codes can be created if the company uses all 124 signs?
The phone company already created 122*122 area codes, now it can create 124*124. 1242-1222= (124+122) (124-122) = 246*2 = 492 additional codes.
The average (arithmetic mean) of seven numbers is 12.2. If the sum of four of these numbers is 42.8, what is the average of the other 3 numbers?
This is an average problem, so use the average formula. If the average of 7 numbers is 12.2, we can solve for their sum: 7 × 12.2 = 85.4. If four of these numbers total 42.8, then by subtracting 42.8 from 85.4, we get the sum of the other three numbers, 42.6. To find the average of these three numbers, we divide their sum by their number: 42.6/3 = 14.2.
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