MathYouLike MathYouLike
  • Toggle menubar
  • Toggle fullscreen
  • Toggle Search
  •    Sign up
  • EVEN AND ODD NUMBERS
  • Newest
  • Featured
  • Votes
  • Unanswered
  • First «
  • 1
  • 2
  • 3
  • 4
  • 5
  • » Last
  • QUESTIONS
  • TAGS
  • USERS
  • BADGES
  • ASK A QUESTION
  • BLOG

Even and Odd Numbers

  • Newest
  • Featured
  • Votes
  • Unanswered

...
donald trump
27/03/2017 at 13:38
Answers
4
Follow

it is given a,b and c are 3 consecutive odd numbers. Also, b3 = 3375. Find the value of ac

Even and Odd Numbers

  • ...
    Phan Thanh Tinh Coordinator 27/03/2017 at 22:39

    b3 = 3375 = 153 => b = 15 => a = 13 ; c = 17 => ac = 221

    Selected by MathYouLike
  • ...
    Futeruno Kanzuki Coordinator 29/03/2017 at 21:18

    b3 = 3375 

    => b = \(\sqrt[3]{3375}=15\)

    Because a,b,c are three consecutive odd number  and b = 15 so

    a = 13 ; b = 15 ; c = 17

    ac = 15 . 17 = 221 

  • ...
    Nễu Lả Ánh 28/03/2017 at 12:40

    b3 = 3375 = 153 => b = 15 => a = 13 ; c = 17 => ac = 221

     1


...
donald trump
27/03/2017 at 13:36
Answers
2
Follow

A number sequence is such that the first two numbers are both 1, From the 3rd number onwards, each one is the sum of the previous two terms. How many numbers in the sequence are odd numbers in the first 1000 numbers?

Even and Odd Numbers

  • ...
    FA KAKALOTS 09/02/2018 at 22:06

    1 is odd,so the 3rd number is even

    => The 4th number is odd and so is the 5th number

    => The 6th number is even 

    => The 7th number is odd and so is the 8th number

    Hence,the 3rd number and every third number after that are even.

    So the numerical orders of the even numbers are divisible by 3

    In the first 1000 numbers,there are :

    (999 - 3) : 3 + 1 = 333 (even numbers) and :

    1000 - 333 = 667 (odd numbers)

  • ...
    Phan Thanh Tinh Coordinator 24/04/2017 at 14:03

    1 is odd,so the 3rd number is even

    => The 4th number is odd and so is the 5th number

    => The 6th number is even 

    => The 7th number is odd and so is the 8th number

    Hence,the 3rd number and every third number after that are even.

    So the numerical orders of the even numbers are divisible by 3

    In the first 1000 numbers,there are :

    (999 - 3) : 3 + 1 = 333 (even numbers) and :

    1000 - 333 = 667 (odd numbers)


...
taylor swift
27/03/2017 at 13:32
Answers
0
Follow

In the number sequence 1,2,5,13,34,89,..., from the 2nd term onwards, the sum of the number preceding it and the number processing it is 3 times its value , Is the 2002nd term even or odd

Even and Odd Numbers


...
taylor swift
27/03/2017 at 13:30
Answers
6
Follow

The sum of 7 consecutive odd number is 1337. Find the odd numbers

Even and Odd Numbers

  • ...
    Thám Tử THCS Nguyễn Hiếu 27/03/2017 at 20:52

    The odd number between the six remaining numbers is:

    1337 : 7 = 191

    So 7 consecutive numbers are 185 ; 187 ; 189 ; 191 ; 193 ; 195 ; 197

    Selected by MathYouLike
  • ...
    Nễu Lả Ánh 28/03/2017 at 12:41

    The odd number between the six remaining numbers is:

    1337 : 7 = 191

    So 7 consecutive numbers are 185 ; 187 ; 189 ; 191 ; 193 ; 195 ; 197

  • ...
    Pham Hoang Nam 18/04/2017 at 21:37

    The odd number between the six remaining numbers is:

    1337 : 7 = 191

    So 7 consecutive numbers are 185 ; 187 ; 189 ; 191 ; 193 ; 195 ; 197


...
taylor swift
27/03/2017 at 13:29
Answers
0
Follow

r, s and t are all positive integers.

There is are x integers among \(\dfrac{1}{2}\left(r+s\right),\dfrac{1}{2}\left(r+t\right)and\dfrac{1}{2}\left(s+t\right)\)

Even and Odd Numbers


...
taylor swift
27/03/2017 at 13:27
Answers
0
Follow

There is a kind of four-digit number, where all the four digits are different. Find the number of such even numbers 2000 to 5000

Even and Odd Numbers


...
donald trump
27/03/2017 at 13:42
Answers
4
Follow

The sum of 22009 +  32009 +  72009 + 92009 is an odd number. Investigate whether the statement is true

Even and Odd Numbers

  • ...
    FA KAKALOTS 09/02/2018 at 22:06

    We have :

    22009 is even number 

    32009 = 34.502 . 3 = .....1 . 3 = ......3 (odd number)

    72009 = 74.502 . 7 = .....1 . 7 = .....7(odd number)

     = 94.502 . 9 = ......1 . 9 = .......9(odd number)

    So : 22009 + 32009 + 72009 + 92009 =  .....2 + .....3 + ....7 + .....9 = ......21 (odd number)

  • ...
    Futeruno Kanzuki Coordinator 29/03/2017 at 21:51

    We have :

    22009 is even number 

    32009 = 34.502 . 3 = .....1 . 3 = ......3 (odd number)

    72009 = 74.502 . 7 = .....1 . 7 = .....7(odd number)

     = 94.502 . 9 = ......1 . 9 = .......9(odd number)

    So : 22009 + 32009 + 72009 + 92009 =  .....2 + .....3 + ....7 + .....9 = ......21 (odd number)

  • ...
    Number One 02/04/2017 at 06:27
    We have :

    22009 is even number 

    32009 = 34.502 . 3 = .....1 . 3 = ......3 (odd number)

    72009 = 74.502 . 7 = .....1 . 7 = .....7(odd number)

     = 94.502 . 9 = ......1 . 9 = .......9(odd number)

    So : 22009 + 32009 + 72009 + 92009 =  .....2 + .....3 + ....7 + .....9 = ......21 (odd number)


...
donald trump
27/03/2017 at 13:47
Answers
6
Follow

A mathematical competition has 30 questions.

5 marks are awarded for a correctly answered question.

1 mark is awarded for an unanswered question

1 mark is deducted  for an incorrectly answered question

Show that the total score of all participants is an even number

Even and Odd Numbers

  • ...
    »ﻲ2004#ﻲ« 29/03/2017 at 06:10

    We have : abcabc = abc x 1001 = abc x 7 x 11 x 13

    Because abc is a prime number,the number of divisors of abcabc is :

    (1 + 1)4 = 16

  • ...
    Indratreinpro 02/04/2017 at 22:12

    Let a,b,c be the number of the correctly answered questions , unanswered questions , incorrectly answered questions of a participant respectively

    Then the participant's total score is 5a + b - c with a + b + c = 30

    If a is odd,then 5a and b + c are odd,so b - c is odd and 5a + b - c is even

    If a is even,then 5a and b + c are even,so b - c is even and 5a + b - c is even

    From 2 cases,we know that the total score of all participants is always an even number

  • ...
    Nếu bây giờ ngỏ ý . Liệu có còn kịp không 28/03/2017 at 12:29

    Let a,b,c be the number of the correctly answered questions , unanswered questions , incorrectly answered questions of a participant respectively

    Then the participant's total score is 5a + b - c with a + b + c = 30

    If a is odd,then 5a and b + c are odd,so b - c is odd and 5a + b - c is even

    If a is even,then 5a and b + c are even,so b - c is even and 5a + b - c is even

    From 2 cases,we know that the total score of all participants is always an even number


...
donald trump
27/03/2017 at 14:00
Answers
2
Follow

There are 71 cards numbered from 1,2,3,...,71 Show that these cards can be arranged in a line, so that the sum of any two neighbouring numbers is a prime number

Even and Odd Numbers

  • ...
    Pham Hoang Nam 18/04/2017 at 21:39

    It's 23,54

  • ...
    Vũ Việt Vương 01/04/2017 at 17:13

    it's 23,54


...
donald trump
27/03/2017 at 13:40
Answers
3
Follow

A page of a book was torn. The sum of the remaining page numbers is 3030. How many pages does the book have? which page was removed ?

Even and Odd Numbers

  • ...
    FA KAKALOTS 09/02/2018 at 22:07

    Let n is number of pages. I is the page which was removed.

    1 + ... + n - i = 3030

    3030 + i = ( n +1 ) * n : 2

  • ...
    Pham Hoang Nam 18/04/2017 at 21:41

    Let n is number of pages. I is the page which was removed.

    1 + ... + n - i = 3030

    3030 + i = ( n +1 ) * n : 2 

  • ...
    Nhat Lee 16/04/2017 at 17:33

    Let n is number of pages. i is the page which was  removed.

    1+...+n -i =3030

    3030+i=(n+1) * n :2 


...
taylor swift
27/03/2017 at 11:30
Answers
5
Follow

If a is an integer, then (a3 + a2 + 1) is

Even and Odd Numbers

  • ...
    Phan Thanh Tinh Coordinator 27/03/2017 at 22:47

    If a is odd,then a3 and a2 are also odd,so a3 + a2 + 1 is odd

    If a is even,then a3 and a2 are also even,so a3 + a2 + 1 is odd

    So a3 + a2 + 1 is always odd with any integer a

    Selected by MathYouLike
  • ...
    »ﻲ2004#ﻲ« 29/03/2017 at 06:11

    If a is odd,then a3 and a2 are also odd,so a3 + a2 + 1 is odd

    If a is even,then a3 and a2 are also even,so a3 + a2 + 1 is odd

    So a3 + a2 + 1 is always odd with any integer a

  • ...
    Nếu bây giờ ngỏ ý . Liệu có còn kịp không 28/03/2017 at 12:31

    If a is odd,then a3 and a2 are also odd,so a3 + a2 + 1 is odd

    If a is even,then a3 and a2 are also even,so a3 + a2 + 1 is odd

    So a3 + a2 + 1 is always odd with any integer a


...
Donald Trump
20/03/2017 at 11:27
Answers
4
Follow

Express 123476543 as a product of two consecutive odd numbers.

Even and Odd Numbers

  • ...
    Run my EDM 20/03/2017 at 12:22

    Put \(\left(2k-1\right)\left(2k+1\right)=123476543\)

    \(\Leftrightarrow4k^2-1-123476543=0\)

    \(\Leftrightarrow4k^2-123476544=0\)

    \(\Leftrightarrow4\left(k^2-30869136\right)=0\)

    \(\Leftrightarrow k^2=30869136=5556^2\)

    \(\Leftrightarrow k=5556\)

    \(\Rightarrow\left\{{}\begin{matrix}2k-1=11111\\2k+1=11113\end{matrix}\right.\)

    Ans : 11111 & 11113.

    Donald Trump selected this answer.
  • ...
    FA KAKALOTS 09/02/2018 at 22:08

    Put (2k−1)(2k+1)=123476543

    ⇔4k2−1−123476543=0

    ⇔4k2−123476544=0

    ⇔4(k2−30869136)=0

    ⇔k2=30869136=55562

    ⇔k=5556

    ⇒{2k−1=111112k+1=11113

    Ans : 11111 & 11113.

  • ...
    Nguyệt Nguyệt 20/03/2017 at 11:33

    123476543 = 11111 x 11113


...
Donald Trump
20/03/2017 at 11:24
Answers
2
Follow

It is given that (a + b + c) is an add number. Show that (a + b + c) \(\times\)(a - b + c) is also an odd number.

Even and Odd Numbers

  • ...
    FA KAKALOTS 09/02/2018 at 22:08

    a + b + c is odd ; 2b is even,so a + b + c - 2b is odd

    => a - b + c is odd => (a + b + c)(a - b + c) is odd

  • ...
    Phan Thanh Tinh Coordinator 23/04/2017 at 08:26

    a + b + c is odd ; 2b is even,so a + b + c - 2b is odd

    => a - b + c is odd => (a + b + c)(a - b + c) is odd


4800

questions

Weekly ranking

  • ...

    Nguyen The Thao

    This week's point: . Total: 0
  • ...

    nguyễn ngọc bảo hân

    This week's point: . Total: 0
  • ...

    Chibi

    This week's point: . Total: 7
  • ...

    Grand Master

    This week's point: . Total: 0
  • ...

    Nguyễn Huy Thắng

    This week's point: . Total: 159
  • ...

    Mây Bay Theo Gió

    This week's point: . Total: 0
  • ...

    gggggggg

    This week's point: . Total: 0
  • ...

    Nguyễn Huy Thắng

    This week's point: . Total: 0
  • ...

    James Blizabeth

    This week's point: . Total: 0
  • ...

    Mai Marry

    This week's point: . Total: 0

Tags

games 18  double counting 8  generating functions 2  probabilistic method 1  Polynomial 9  inequality 13  area 17  Equation 9  Primitive Roots Modulo Primes 1  Primitive in Arithmetic Progression 6  Base n Representatioons 4  Pell Equation 1  mixed number 1  Fraction 29  Circle 3  Imaginary numbers 1  Decimal number 2  Volume 2  percentages 6  simple equation 19  absolute value 19  rational numbers 20  Operation of Indices 21  Simulataneous Equation A System of Equations 25  Multiplication of Polynomial 17  divisibility 24  Maximum 5  Minimum 8  Fraction 4  Prime Numbers and Composite Numbers 13  Square Number 26  Even and Odd Numbers 13  GDC and LCM 11  GCD and LCM 12  Permutation and combination 9  combinations 5  interger 7  number 10  Diophantine equations 2  equations 1  Grade 6 19  Power 3  equality 2  maxima-minima 2  square root 1  Polygon 2  IGCSE 1  factorial 1  integers 2 
© 2016 MATHYOULIKE
Crafted with by OLM.VN