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More Questions
Posted:
Wed Apr 17, 2013 5:56 pm
by BlasianAsian
Hey Guys,
Gotta couple more q's. Hope you don't mind answering them...
The det ([2,3,1,4]*[4,3,1,2]) is _____________________.
Ans: 25.
The first two numbers are in the first row, and the last two numbers are in the second row, in that order.
Find k, 0<k<5, if 4k-1 = 1(mod 6).
Ans: 2.
Re: More Questions
Posted:
Wed Apr 17, 2013 6:11 pm
by Fredfredburger
The determinant of matrix AB is equivalent to det(A)*det(B)
Here the determinant of A=5 and the determinant of B=5, so the determinant of AB=25
Addition and subtraction are both valid(blanking on the math term) operations in modular arithmetic, you can add and subtract from both sides.
Saying that, here you have 4k=2 mod6
First see if 4k=2 has any integer solutions.
No, so now note that 8 is equivalent to 2 in mod 6, as are all other numbers in the form 2+6a.
Here we only have to check that 4k= 8 has a solution at k=2
Re: More Questions
Posted:
Wed Apr 17, 2013 9:05 pm
by asquaredplusb
What are the tricks for:
113 x 211?
144^2 - 89 * 233
sqrt(207936) (exact)
(67 (base 9) + 78 (base 9) ) / 8 has a remainder of ?
The largest number of regions created by 12 intersecting lines that are coplanar is ?
Re: More Questions
Posted:
Wed Apr 17, 2013 9:07 pm
by qwerty123
Re: More Questions
Posted:
Wed Apr 17, 2013 9:08 pm
by qwerty123
Re: More Questions
Posted:
Wed Apr 17, 2013 9:10 pm
by qwerty123
Re: More Questions
Posted:
Wed Apr 17, 2013 9:11 pm
by qwerty123
Re: More Questions
Posted:
Wed Apr 17, 2013 9:11 pm
by asquaredplusb
Re: More Questions
Posted:
Wed Apr 17, 2013 9:17 pm
by qwerty123
Re: More Questions
Posted:
Wed Apr 17, 2013 9:21 pm
by qwerty123
Re: More Questions
Posted:
Wed Apr 17, 2013 9:22 pm
by Fredfredburger
Re: More Questions
Posted:
Wed Apr 17, 2013 10:25 pm
by BlasianAsian
Thanks for the previous help. Here's another:
A golf store has white balls, yellow balls, pink balls, and orange balls. How many different packs of 3 balls can the store package?
Ans: 20.
Re: More Questions
Posted:
Wed Apr 17, 2013 10:28 pm
by qwerty123
Re: More Questions
Posted:
Wed Apr 17, 2013 10:59 pm
by asquaredplusb
Thanks!
I've seen problems like these:
18% of 266 and 2/3 is ?
12% of 233 and 1/3 is ?
a couple times. I there a trick, or do you just have to convert to a fraction and multiply out?
EDIT: Also, is there a trick for converting numbers like 3/14, 4/14, 5/14, etc. to percentages?
Re: More Questions
Posted:
Wed Apr 17, 2013 11:14 pm
by qwerty123
Re: More Questions
Posted:
Wed Apr 17, 2013 11:17 pm
by qwerty123
Re: More Questions
Posted:
Wed Apr 17, 2013 11:43 pm
by Gandhiswagg17
18% of 266 and 2/3 is the same thing as
18 * 2 and 2/3 which comes out as 48.
Check it on a calculator. it will be 48
same thing on 12% of 233 and 1/3
12* 2 and 1/3 = 28
Re: More Questions
Posted:
Thu Apr 18, 2013 12:02 am
by qwerty123
Whoops!
I thought 266 and 2/3 were being multiplied should have been written as 266 2/3 instead
Re: More Questions
Posted:
Thu Apr 18, 2013 5:19 pm
by BlasianAsian