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Three consecutive odd integers 2017-10-10
From Johanna:
Three consecutive odd integers are such that the sum of the first and second is 31 less than 3 times the third
Answered by Penny Nom.
Two consecutive odd integers 2017-07-14
From Adeeb:
Find two consecutive odd positive integers, sum of whose square is 290.
Answered by Penny Nom.
Divisibility of 3n^5+7n 2016-12-14
From Parag:

Question from Parag, a student:

if n is a natural number,then 3n^5+7n is divisible by
a)2
b)3
c)5
d)7

i got the answer but still i need a valid alternate approach.


Answered by Penny Nom.
The sum of three integers is 30 2016-12-06
From Vaishnavi:
_+_+_:30. Blanks are to be filled by(1,3,5,7,9,11,13,15) and numbers can be repeated.
Answered by Penny Nom.
20 mangoes 2016-04-01
From Mussharat:
I have 20 mangoes and have to put them in 5 boxes such that the numbers will be odd numbers.Also I can't cut or take the seed out from the mango . What should I do. It's really confusing.
I'll be more than happy if you could help me.

Answered by Penny Nom.
A 13 game bet 2016-02-28
From farah:
I'm trying to calculate the odds of a 13 game bet. Each game has 2 teams with 3 possible outcomes (win,draw,lose).

What are the odds.

Answered by Penny Nom.
Two consecutive odd integers 2015-03-09
From gowtham:
The sum of two consecutive odd integers is 20.find the integers
Answered by Penny Nom.
Even and odd 2014-11-28
From Subrahmanya:
n1, n2, n3....................,n1997 are integers not necessarily distinct. (actually in n1, n2,.............., n1997 the numbers 1,2,.................,1997 are subscripts of 'n')

X= (-1)^n1+(-1)^n2+............+(-1)^n998

Y=(-1)^n999+(-1)^n1000+............+(-1)^n1997

Then

which of the following options is true

A) (-1)^X = 1, (-1)^Y = 1 B) (-1)^X = 1, (-1)^Y = -1
C) (-1)^X = -1, (-1)^Y = 1 D) (-1)^X = -1, (-1)^Y = -1
E) none of these

Answered by Penny Nom.
Three consecutive odd integers 2014-10-17
From Maddy:
3 times the largest of three consecutive odd integers is 13 more than the sum of the other two. What are the integers?
Answered by Penny Nom.
The largest odd number using the digits 08672 2014-06-24
From audrey:
what is a 5 digit greatest odd number out of this given digits? 08672
Answered by Robert Dawson.
Consecutive Numbers Question 2013-08-11
From Lucy:
Hello,
I have a question about consecutive numbers. So lets say a question tells you to find what three consecutive numbers are that add up to a certain number. To calculate this, would you use 2x+1, 2x+3, 2x+5 or just x, x+2, x+4.
Also, the same question for even numbers. Would you use:
2x, 2x+2, 2x+4 or just x, x+2, x+4.
My math book is confusing because it uses the first strategy(the 2x+…) in some situations and the second strategy(x+…) in other situations. Thus, can you provide me an explanation of why you would use the strategy that is correct?
Specifically, my book answered this question: If “n” is the first of five consecutive odd numbers, what is their average, using n,n+2….=5n+20 and average is n+4(this is the answer),.
For the question: the sum of 4 consecutive odd integers must be:
Divisible by 8 but not necessarily 16(this is the answer), it used the strategy 2k+1, 2k+3…=8k+16.

Thank you so much for taking the time to answer my question.

Answered by Harley Weston.
Three consecutive odd integers 2013-07-08
From sparsh:
Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:
Answered by Robert Dawson.
If n is odd, then n^2 - 3 is even 2012-12-11
From Tracy:
Prove the statement:

For all integers n, if n is odd, then n2 - 3 is even.

Answered by Penny Nom.
The square of any odd number, decreased by 1, is divisible by 8 2012-11-16
From bailey:
Prove that the square of any odd number, decreased by 1, is divisible by 8
Answered by Penny Nom.
4 digit combinations 2012-10-17
From Scott:
How many different 4- number combinations from 0-1-2-3-4-5-6-7-8-9 with 2 out of the 4 odd and 2 out of the 4 even, with no numbers repeating. Thanks
Answered by p.
15 pigs and 6 pens 2011-11-16
From Mike:
I have 15 pigs and 6 pens, I have to put them in odd numbers, how do I do it.
Answered by Chris Fisher.
Twice an even number 2011-10-10
From Ron:
The number of dollars that Tracy has in her pocket is an odd number. Hal gave Tracy $2 more than she already had in her pocket. The number of dollars Tracy now has cannot be _________.
a) $60 b) $62 c) $64 d) 68

Answered by Penny Nom.
Three consecutive odd integers 2011-10-07
From Muneera:
Find 3 consecutive odd integers so that 3 times their sum is 5 more than 8 times the middle one?
Answered by Penny Nom.
A four digit number 2011-09-16
From gina:
i am having a hard time figuring this out.. i believe the answer is 3105 but the 0 is throwing me off... i am a 4 digit number between 3100 and 3200, none of my digits are even, the sum of my digits is 9, the largest digit is in the ones place, what number am i ??
Answered by Penny Nom.
Three consecutive odd numbers 2011-03-11
From George:
Write an equation three consecutive odd numbers whose sum is 75
Answered by Penny Nom.
Three consecutive odd integers 2010-11-07
From karen:
find three consecutive odd integers such that twice the sum of the second and the third is 43 more that three times the first
Answered by Penny Nom.
Can a fraction be an even or odd number? 2010-08-25
From Kenneth:
Can a fraction be an even or odd number? If not , why?
Answered by Stephen La Rocque and Harley Weston.
A collection of baseball cards 2010-07-01
From Martha:
Cody has a collection of baseball cards. Is it possible for him to place the cards into 5 boxes so that exactly 3 of the boxes contain an odd number of cards and the total number of cards in two of the boxes is the same as the total number in the other 3 boxes? Explain.
Answered by Robert Dawson, Penny Nom and Claude Tardif.
Odd integers 2010-05-28
From jack:
If x is an odd integer, which of the following must also be an odd integers a) x+1; b) 2x; c) x+4; d) x-1; e) x/2? Please help me to solve this problem. Thank you.
Answered by Penny Nom.
Odd numbers with no repeated digits 2010-05-01
From jameka:
How many odd numbers can be written from the set {2,3,4,5,6} if no digits may be used more than once?
Answered by Penny Nom.
7 odd numbers 2010-02-19
From mike:
Hello there, Problem: find 7 odd numbers who sum is equal to 30. Hint*My professor said it's possible to add 7 odd numbers and get 30 for an answer! and he said we can use Negative and rational numbers but no decimal or fractions. So is there anyway of solving this? Please get back to ASAP! thanks.
Answered by Harley Weston and Tyler Wood.
Three digit odd numbers 2010-02-04
From Rebecca:
Question from rebecca, a student:

how many three digit odd numbers can be formed using the digits 1,2,3,4,5,6 without using any digit more than once?

Answered by Tyler Wood.
Odds and evens in an n by n+1 table 2010-01-21
From Shankar:
The boxes of an n * (n+1) table ( n rows and n+1 columns) are filled with integers. Prove that one can cross out several columns ( not all of them !) so that after this operation all the sums of the numbers in each row will be even.
Answered by Robert Dawson.
Consecutive odd intergers 2010-01-06
From keyanna:
list five consecutive odd integers, starting with -3
Answered by Robert Dawson.
Consecutive odd integers 2009-11-09
From Erin:
I'm having trouble with consecutive integers. i know it goes n + n + 1 + n + 2 and so on, but if its odd then do the numbers change to odd ones? i don't know the question is: the sum of four consecutive odd integers is -72. write an equation to model this situation and find the values of the four integers
Answered by Robert Dawson and Penny Nom.
Four consecutive odd integers 2009-10-24
From Tonya:
the sum of four consecutive odd intergers 2008 what are the intergers
Answered by Penny Nom.
Rolling a six on the sixth roll 2009-05-04
From Scott:
What are the odds of rolling a die 6 times in a row and rolling a 6 only on the 6th try, but not any other time? And how is this calculated?
Answered by Harley Weston.
15 pigs in 4 pens 2009-04-22
From Melissa:
A farmer has 15 pigs. He wants to put them all into 4 pens, have an odd number of pigs in each pen, and have no pigs left over. Also, he isn't thinking about having any for dinner, as they are his pets.
How does he do it?

Answered by Robert Dawson.
Three consecutive odd integers 2009-04-02
From Brian:
Find the greatest of three consecutive odd integers if the product of the second and third is 8 more than 13 times the first.
Answered by Robert Dawson.
The odds against drawing a red queen 2009-03-15
From tabyia:
7. The common deck of 52 cards has 26 black cards (13 spades and 13 clubs) and 26 red cards (13 hearts and 13 diamonds). Each suit consists of ace, king, queen, jack, ten, nine, eight, seven, six, five, four, three and deuce. 13in all.

A single card is chosen at random. Find the odds against its being a red queen?

How many cards will I have to draw to be absolutely certain that I have drawn three black cards

Answered by Harley Weston.
Three consecutive odd integers 2009-03-11
From Susan:
Find three consecutive odd integers such that the sum of the first, twice the second, and three times the third is 70
Answered by Penny Nom.
Dividing the digits 1 - 9 into two groups 2009-02-09
From donna:
using the numbers 1 to 9 can you arrange these into 2 groups, both of which have the same total, and no you cant turn the 6 upside down
Answered by Penny Nom.
Three consecutive odd integers 2008-11-03
From kim:
Determine three consecutive odd integers such that twice the sum of the second and third is 29 less than 5 times the first.
Answered by Penny Nom.
Is it possible to a function to be both even and odd ? 2008-09-28
From Mohammed:
Is it possible to a function to be both ( Even and Odd )
Answered by Harley Weston.
Is zero an even number, an odd number, or neither? 2008-08-04
From Donna:
Is zero an even number, an odd number, or neither? Why?
Answered by Victoria West.
A quadratic equation with odd coefficients 2008-04-15
From Manashi:
If p,q,r be any odd integers, then prove that the roots of the quadratic equation px^2+qx+r=0 can't be rational .
Answered by Stephen La Rocque.
Two consecutive odd numbers 2008-04-01
From prinsilla:
of all pairs of consecutive odd integers whose sum is greater than 75. find the pair whose sum is least?
Answered by Stephen La Rocque.
Two consecutive odd integers 2008-03-24
From Jarrod:
the sum of two consecutive odd integers is 24. Find the two integers
Answered by Stephen La Rocque.
Two consecutive odd positive integers 2008-03-12
From Sarah:
The sum of the squares of two consecutive odd positive integers is 74. What are th integers?
Answered by Penny Nom.
Some three-digit numbers 2008-03-05
From Toni:
The following is a word pattern problem listed on my son's homework: write a set of three-digit numbers that contain one odd number and three even numbers. This confused the both of us because that would make his number a four digit number, right? please respond. Thanks.
Answered by Penny Nom.
3 consecutive odd integers 2008-02-28
From Pat:
For 3 consecutive odd integers, twice the first integer, plus 5 more than the second integer, plus three less than four times the third integer equals -85. Find the 3 consecutive odd integers.
Answered by Penny Nom.
Three consecutive odd integers 2008-01-24
From daniel:
find three consecutive odd integers such that three times the second minus the third is 11 more than the first. help! i have x+1, x+3, x+5 as my 3 odd integers is this correct its been a while.
Answered by Penny Nom.
Why does an odd + odd = an even? 2007-09-06
From austin:
why does an odd + odd = an even?
Answered by Penny Nom.
Combining probabilities 2007-08-20
From Arul:
Xavier, Yvonne, and Zelda each try independently to solve a problem. If their individual probabilities for success are 1/4, 1/2 , and 5/8 , respectively, what is the probability that Xavier and Yvonne, but not Zelda, will solve the problem ?
Answered by Stephen La Rocque.
The odds of winning a contest 2007-07-29
From Kevin:
I have been asked by a customer in Missisauga to track down some odds of winning a contest. In this contest, the last 4 digits of the winner's driver's license number have to match the last 4 digits of a Harley VIN number. There are 200 people maximum allowed into the drawing, 10,000 total possible VIN combos. Would the odds be 1:50 or something other than that?
Answered by Harley Weston.
What are the odds that the selections were random? 2007-05-26
From alan:
An employer must select three people for layoff from three groups. Group 1 has 4 members and the oldest member is selected. Group 2 has 7 members and the oldest member is selected. Group 3 has 2 members and the younger is selected. Assuming equal qualifications, what are the odds that the selections were random vs. biased as to age? What is the formula to determine this?
Answered by Penny Nom.
Two consecutive odd numbers 2007-03-19
From Alicia:
The sum of two consecutive odd numbers is divisible by 4.

Can you make similar statements about the sum of three consecutive odd numbers and of four consecutive odd numbers? Generalize your findings.

I tried :
n= smallest odd number therefore the next = n, n+2 and the second =n+4 and the third = n+6 Now n+ n+2+n+4+n+6/4
Please help I am not sure of this I am just trying

Answered by Penny Nom.
The square of an odd number 2007-03-16
From Samantha:
Is the square of an odd number always odd?
Answered by Stephen La Rocque and Penny Nom.
An odd function 2007-03-06
From Dana:
If g(x) has a domain of all real numbers, name one point on a graph and explain why it must be there. g(x) is an odd function.
Answered by Penny Nom.
21 pigs and only 4 pig pens 2007-01-11
From Emma:
i was given this pig pen problem. if there are 21 pigs and only 4 pig pens how can you distribute the pigs into the pens and have an odd number of pigs in each pen. it doesn't seem possible to me. i need help!
Answered by Haley Ess.
Three consecutive odd integers 2007-01-08
From Emma:
Find three consecutive odd integers such that the sum of the first and second is 27 less than 3 times the third.
Answered by Stephen La Rocque.
The Pythagorean theorem 2006-12-12
From Beth:
In a pythagorean theorem can the sides of a right triangle be three consecutive odd integers
Answered by Stephen La Rocque.
Factors 2006-11-22
From Jacqueline:
Why do the numbers 16,36,48,60,64,90 and 100 have an odd number of factors?
Answered by Stephen La Rocque and Penny Nom.
What is the probability that the sum of the two numbers is even? 2006-11-01
From Ryan:
10 balls numbered 1-10 are in a jar. George reaches into the jar and pulls out a ball. Then Wally pulls out another ball. What is the probability that the sum of the two numbers is even?
Answered by Haley Ess.
An odd number of factors 2006-10-28
From Anthony:
What is the common name used for numbers that have an odd number of factors? This answer should be a two word answer only.
Answered by Stephen La Rocque.
Three consecutive odd numbers 2006-10-21
From Pige:
The sum of three consecutive odd numbers is 387. Find the numbers.
Answered by Penny Nom.
How many students are in the class? 2006-10-12
From Lillian:
There is one more boy than girls in the class, how many students in all?
Answered by Stephen La Rocque.
The odd numbers from 30 to 80 2006-09-21
From Kieran:
If you added all the odd numbers from 30 to 80, would the answer be even or odd? Explain.

I think it would be odd because I used this equation:
(30 x 5)+(40 x 5)+(50 x 5)+(60 x 5)+(70 x 5)+(25 x 5)=1325
I used the numbers for each set of ten -30 to 80 times 5 and the amount of the endings-1,3,5,7,9- added, times 5. Is that right?

Answered by Penny Nom.
2-row arrays 2006-09-06
From Liz & Samantha:
What do you call the numbers that cannot be arranged into 2-row arrays?
Answered by Penny Nom.
Odd-man out coin tossing and probabilities 2006-04-27
From Kalyan:
When four people toss fair coins, what is the probability that in a given toss there will be one "odd man". That is one person whose coin does not have the same out comes as that of any other members?
Answered by Stephen La Rocque.
How to find the odds for a lottery jackpot 2006-04-12
From Harvey:
Is it best to use factorials to calculate the odds of winning a lottery, such as the MegaMillions that is popular in the US, or is there a better way?
Answered by Stephen La Rocque.
Probability of getting their stories straight 2006-04-05
From Amy:
Four students drive to school in the same car. They claim they were late because they had a flat tire. Assuming they did not have a flat tire what is the probability that they all would choose the same tire if asked which one was flat.
Answered by Stephen La Rocque.
Is zero even or odd? 2006-04-04
From Aliya:
I would like to know if zero is an odd number or even number. I remembered my kindergarten teacher saying it is an odd number. My mom and sister says it is even number.
Answered by Penny Nom.
Is a zero considered an even or odd number? 2005-12-13
From Sylvia:
Is a zero considered an even or odd number?
Answered by Penny Nom.
The sum of n consecutive integers 2005-11-27
From Craig:

If 875 is expressed as the sum of n consecutive integers (n > 1), then the number
of possible values of n is?

Possible Answers:
A) 15
B) 8
C) 7
D) 16
E) 4


Answered by Penny Nom.
Numbers with exactly 5 divisors 2005-11-23
From Mary Lou:
Show the 10 numbers with exactly 5 divisors.
Answered by Penny Nom.
When will x^2+xy+(y-x) be even? 2005-11-08
From Lana:
If x and y are integers, when will x squared+xy+(y-x) be even?
Answered by Penny Nom.
Why is zero even? 2005-11-08
From Lauren:
A child in my class if having trouble with the concept of zero being an even number, I have talked with her about its zero because it is a multiple of 2, any other suggestions?
Answered by Paul Betts.
Seven consecutive reds in roulette 2005-09-04
From Joe:
I know that the odds are a little less than 50% for either black or red comming up on a spin of the roullette wheel. My question is what are the odds of red or black comming up 7 times in a row?
Answered by Penny Nom.
Can one place 15 integers around a circle... 2005-08-20
From Hernan:
Can one place 15 integers around a circle so that the sum of every 4 consecutive numbers is equal either to 1 or 3?
Answered by Claude Tardif.
Probabilities in poker 2004-11-04
From Ben:
Please can someone tell me the odds of getting a royal flush while playing texas hold em.
Please can you also let us know the odds of a royal flush while playing texas hold em if you must be dealt two of the needed cards.

Answered by Chris Fisher.
Sums and differences 2004-02-10
From David:
The sum of two whole numbers is 63. The difference between the numbers is 10. Find all the possible pairs.
Answered by Claude Tardif and Penny Nom.
Is zero even? 2004-01-07
From A secretary at an elementary school:
Is zero an even number?
Answered by Penny Nom.
Two row arrays 2003-09-03
From Madalyn:
My question is, what are #'s that can not be arranged in two row arrays called?
Answered by Penny Nom.
Two precalculus problems 2003-08-04
From Kate:

Please help me verify the identity:
cos2x(sec2x-1)=sin2x

Also I am having trouble withdetermining whether f(x) is odd, even, or neither
f(x)=x3-x


Answered by Penny Nom.
The area of an odd shaped piece of property 2003-07-24
From Barry:
What is the formula for figuring the square footage of an odd shaped piece of property?
Answered by Penny Nom.
Would it be worth paying $20K for 4 chances... 2003-01-13
From Steve:

If I've got 4 chances to to achieve X goal, and in each chance that I have I've got a 65% chance of achieving this goal, what is my overall probablity of achieving this goal? Also, what would it be after each of my 4 chances (i.e., for my 2nd chance, would it be (.65 * (.65*.65)? I've forgotten some basic probablity theories, and would appreciate any help on this.

With the probablities above, would it be worth paying $20K for 4 chances to achieve the goal or $8.5K for only 1 chance to acheive the goal? (at 65% probability)


Answered by Andrei Volodin.
Odd and even 2002-12-17
From Martin:
I am a graduate engineer trying to teach single digit addition to my 8 year old grand-daughter. My questions follow.

Assume a child does not know what multiplication and division are.

Assume the child knows how to count from 0 to 10

How do you explain that 2, 4, 6, 8 and 10 are even numbers

And 1, 3, 5, 7 and 9 are odd numbers

And these three facts?

  1. when you add two even numbers, the answer is even
  2. when you add two odd numbers, the answer is even
  3. when you add an even number and an odd number, the answer is odd?

Can all of these be reasoned out, without using the concepts of multiplication or division?


Answered by Diane Hanson.
Place six numbers around a triangle 2002-07-19
From Monika:
I need to place six numbers around a triangle, as such that one number is on each corner, and one number on each side making three numbers in one line, adding up to two hundred exactly. The number I have to use are, 40, 50, 60, 70, 80, 90. I have to use each one once, there for, each number cannot be repeated.
Answered by Claude Tardif and Chris Fisher.
Pigs in pens 2002-07-10
From Shannon:
A farmer has 21 pigs and 4 pens, he must put an odd number of pigs in each pen, how does he do it?
Answered by Penny Nom and Chris Fisher.
Odd plus even is odd 2001-10-14
From James:
Why is the sum of an odd number and an even number always odd?
Answered by Peny Nom.
15 mice in 4 cages 2001-10-08
From Chelsea:
How can you fit 15 mice into 4 cages with an odd number of mice in each cage?
Answered by Claude Tardif and Harley Weston.
Probabilities and dice. 2001-05-04
From Carmen:
Hi! My name is Carmen! I am a member of a grade 5 class in Edmonton, AB. We were talking about probability in math, and I was wanted to know what the probability (odds) of rolling two sixes would be rolling two dice? If it is not to diffucult could you tell me what the probability (odds) of rolling any number with two dice were?
Answered by Andrei Volodin and Penny Nom.
Is there an odd and even function? 2001-03-02
From Saima:
Is there a function that is both even and odd at the same time? In other words, is there a function that can pass the y-axis, x-axis, and origin symmetry test?
Answered by Claude Tardif and Penny Nom.
The odds of winning 2001-02-09
From Anna:
The odds of winning in a game are 3 out of 10. How many times would one have to play the game in order to be sure they would win?
Answered by Leeanne Boehm.
14, with 5 ODD numbers 2001-01-23
From Robyn Ernst:
How can you get 14, with 5 ODD numbers?
Answered by Claude Tardif.
Three consecutive odd integers 2000-08-18
From Wallace:
A six-digit integer XYXYXY, where X and Y are digits is equal to five times the product of three consecutive odd integers. Determine these three odd integers.
Answered by Paul Betts.
Odds and combinations 2000-05-10
From Lucy:
If the odds are 1/15 of winning, what is the probability?

if c 5! 3! How does it equal 10?


Answered by Harley Weston.
Probability and odds 2000-05-05
From Leah:
The chances of rain on friday, saturday, and sunday are 20%, 30%, and 50% respectively. what are the odds it will rain all three days?
Answered by Harley Weston.
Is zero an even or odd number? 2000-02-06
From Christian Hansen:
On a list I run, someone posted that 02-02-2000 was the first date since 28-08-888 where all the digits were even. Of course, this provoked a discussion of whether zero was odd, or even, or neither. I remember reading that, for symmetry's sake, it is considered by mathematicians to be even. Any thoughts?
Answered by Patrick Maidorn.
Two algebra problems 1999-12-17
From Michael Standfest:
If x+4 is a factor of 2x4+kx3-3kx2+6x-40, find k

and

Prove that n2-n is even for all n, using the proof of contradiction
Answered by Penny Nom.

An odd number of factors 1999-10-22
From Melissa:
What is the common name used for numbers that have an odd number of factors? What is the least positive integer that has exactly 13 factors?
Answered by Penny Nom.
A Multiple Choice Test 1999-08-31
From Cintra Ramnarine:
I have ten questions. There are two multiple choice answers to each question. What are the chances of answering all questions correctly.
Answered by Harley Weston.
Even and Odd Function 1999-06-17
From Kent:
There is one function with the domain of all real numbers that is both even and odd. Please give me the answer to this question before I go insane.
Answered by Penny Nom.
Evens and odds 1999-05-04
From Emily Hays:
My name is Emily Hays, I am in the 6th grade and my teacher gave me some extra probelms to see if I could solve them. She can't find the KEY and I can't figure out the probelm so she suggested I e-mail you guys to see if you could help us. Here's the Problem:

The numbers 1,2,3...,1999 are written on the blackboard in the classroom. Evertime the teacher enters the room he chooses two numbers on the blackboard, say a & b, with a> or equal to b, then he erases them and writes the difference a-b somewhere on the blackboard. After this procedure is carried on 1998 times, there will be only one number left on the blackboard. Prove the last remaining number must be even.

I hope you can help us!
Answered by Chris Fisher and Harley Weston.

Zero 2001-03-15
From Alexandre:
j'aimerais beaucoup savoir si le chiffre zéro est considéré comme étant soit:
  1. pair
  2. impair
  3. pair et impair ŕ la fois
  4. ni pair ni impair.

Answered by Claude Tardif.
 
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