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#301 2009-03-28 06:44:46
- ganesh
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Re: *** Problems
#311. Two dice are rolled once. Find the probability of getting an even number on the second die or the total of the face numbers being 10.
Character is who you are when no one is looking.
#302 2009-03-30 04:04:18
- ganesh
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Re: *** Problems
#312. If
verify
.
#313. Show that
if
.
#314. Two dice are thrown together. What is the probability of getting a total of 8 or a product of 12?
#315. Prove that
.
Character is who you are when no one is looking.
#303 2009-03-31 05:04:50
- ganesh
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Re: *** Problems
#316. Prove that
#317.If a line passes through the midpoint of AB where A is (3,0) and B is (5,4) and makes an angle of 60° with tehe x-axis, find its equation.
#318. The angle of elevation of a tower at a point is 45° . After going 20 meters towards the foot of the tower, the angle of elevation of the tower becomes 60° . Claculate the height of the tower.
#319. Find the equation of the straight line joining the point of intersection of
3x - y + 9 = 0 and 2y = x - 4 = 0 to the point of intersection of 2x + y = 4 and
2y = x + 3.
#320.The vertices of a triangle are A(1,8), B(-2,4), and C(8, -5). m and N are the midpoints of AB and AC. Show that MN is parallel to BC and
.
Character is who you are when no one is looking.
#304 2009-04-03 03:02:12
- ganesh
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Re: *** Problems
#321. In an Arithmetic progression,
Find the first term and the common difference.
#322. A cylndrical pillar is 3.5 meters in diameter and 20 meters high. Find its volume.
#323. Find the point which divides the line joining the points (-2, 6) and (3, 6) internally in the ratio 3:2.
#324. Prove that the points (9,0), (1,4), and (11,-1) are collinear.
#325. If sin θ = cos θ, where θ is an acute angle, find the value of 2tan² θ - sin² θ - 1.
#326. The mean of 100 items is 48 and their standard deviation is 10. Find the sum of all the items and also the sum of the squares of all the items.
#327. The sum of the three digits in a three digit number is 24. Twice the tenth digit is equal to the sum of the digits in the other two places. if 198 is added to the number, then the digits would be in the reversed order. Find the number.
#328 : Factorize:-
.
#329. If
find
.
#330. The mid-points of three sides of a triangle are (5, -3), (-5, 3), and (6, 6). Find the equations of the sides of the traingle.
Character is who you are when no one is looking.
#305 2009-04-07 03:05:02
- ganesh
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Re: *** Problems
331. Find a and b if
is a factor of
.
#332. Find the values of a and b if 9x-2) is a common factor of
.
#333. If (x-7) and (x-4) are factors of
,
find the values of p and q.
#334. If (x-1), (x+2), and (x-2) are the factors of
,
find a, b, and c.
Character is who you are when no one is looking.
#306 2009-06-08 17:50:38
- ganesh
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Re: *** Problems
#335, Two dices contain the numbers from 1 to 6 and 1 to 6. By using these 6 numbers all calendar dates from 01 to 31 must be displayed by rearranging the dices in any way. What are the six numbers each dice contains?
Character is who you are when no one is looking.
#307 2009-06-08 19:28:31
- bobbym
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Re: *** Problems
# 328
By the rational root theorem:
Can only have these rational roots {-1/1,-1/2,-2/2,-2/1,1,1/2,2}
plugging them in we get roots of -2,1/2 and 1
Which means the factorization is of the form
Last edited by bobbym (2009-10-19 00:51:17)
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#308 2009-06-08 21:44:11
- ganesh
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Re: *** Problems
Outststading!!!
Character is who you are when no one is looking.
#309 2009-06-12 23:32:22
- bobbym
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Re: *** Problems
Hi ganesh;
Last edited by bobbym (2009-06-13 18:58:49)
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#310 2009-06-14 17:08:07
- ganesh
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Re: *** Problems
I shall let you know soon!
Character is who you are when no one is looking.
#311 2009-06-18 11:14:11
- Fruityloop
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Re: *** Problems
Thank you for the interesting and challenging puzzles Ganesh.
Last edited by Fruityloop (2009-06-19 04:01:04)
Help slow global warming. Drive a prius.
July 2012 was the hottest month ever for the U.S.
#312 2009-06-22 23:17:55
- bobbym
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Re: *** Problems
Last edited by bobbym (2009-06-22 23:19:21)
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#313 2011-12-29 02:19:13
- anonimnystefy
- Real Member
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Re: *** Problems
hi ganesh
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón