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Answers ( 56 )
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    demo answer \(\sqrt[1]{2}\left\{{}\begin{matrix}2x+3y=56\\3x+4y=67\end{matrix}\right.\\\)
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    \(\left(12\right)+56\ln\left(56\right)\)
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    \(\sqrt[1]{2}+\frac{3}{4}\) demo answer \(\sin\left(x\right)\)
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    the are three people
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    450 number
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    question easy
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    answer demo test result is 5 apple
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    5 apple ok
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    test demo answer
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    test answer sory
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    The first such triple is 8 = \(2^2+2^2\),9 = \(3^3+0^2\),10=\(3^2+1^2\), which suggests we consider triples \(x^2-1,x^2,x^2+1\).Since \(x^2-2y^2=1\) has infinitely many positive solutions (x,y), we see that \(x^2-1=y^2+y^2,x^2=x^2+0^2\)and \(x^2+1\) satisfy the requiment and there are infinitely many such triples.

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    Prove that if p is a prime number, then (p-1)!\(\equiv\) -1 (mod p). this is Wilson's theorem.

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Questions ( 45 )
  • \(\frac{1}{2}+3+4+5+\left\{{}\begin{matrix}2x+3y=67\\4x+5y=67\end{matrix}\right.demo\) send question
  • 24 numbers can be formed using 1,2,3 and 4, where each digit is used once only in each number. Find the sum of such numbers that are divisible by 22.

     

  • a,b and c are all prime numbers.
    If a+b+c=72, then ab+ac+bc=?

  • p,p+8 and p+16 are all prime numbers .Find the value of \(p^{2}+\left(p+8\right)^{2}+\left(p+16\right)^{2}\)
  • it is given p is prime number \(p^{3}\) +11 is still a prime .Determie if \(p^{5}+29\) is still a prime
  • which of the following numbers cannot be expressed as the sum of 3 composite numbers
  • m and n are two prime numbers that statisfy the equation 7m+5n=31. Find the value of \(m^{n}+n^{m}\)
  • The lowest common multiple of a and b is 50. List all possible values of a and b.

  • The greatest common dividor of m and n is 15.Given 3m+2n = 225, find mn.

  • A cardboard \(140cm\times240cm\) is cut into many congruent squares. What is the largest possible square size? How many squares can be cut from the cardboard without wastage?

  • The product of a grandfather's age and hos grandchild's age is 1339 next year. How old are they now?

  • The remain der is 2 when n is divided by 3. The remainder  is 3,4 and 5 when the divisors are 4,5 and 6 respectively. What is the smallest possible of n?

  • Alvin, Ben, Carl and Dan are salesmen for refrigerators. In 2009, Alvin sold 7 times as many refrigerators sold by Ben, 5 times as many sold by Carl and 4 times as many sold by Dan. In all, the 4 salesmen sold 669 refrigerators.What would be the highest possible number of refrigerators Alvin had sold?

  • When the three numbers 995.1233 and 1928 are divided by positive integer m, the remainders are all equal to a positive integer n. Find \(m+n\).

  • Two types of marking are carried out on a steel rod 1m long. There is a blue marking every 6cm from left to right. There is also a red marking every 5cm from right to left. How many segment are of 1cm.

  • Three types of beverage were served at a wedding dinner. 2 persons shared a can of beer. 3 persons shared a jar of fruit punch. 4 persons shared a bootle of wine. 78 cans of beverage were served altogether. How many guests were at the dinner?

  • The remainder is 1 when a certain number is divided by 2. The Remainder is also 1 when the divisors are 3,4,5 and 6 respectively.

    What is the smaillest possible of this number?

  • Find The greatest common divsor and lowes common multiple of  (882,1134).

  • Find the solution to the equations:

    \(\left\{{}\begin{matrix}x+y-z=4\\x:y=4:3\\z:x=3:2\end{matrix}\right.\)

  • Find the value of xyz, if x,y and z satisfy the equations:

    \(\left\{{}\begin{matrix}3x-2y=5\\2y+3z=1\\x-z=4\end{matrix}\right.\)

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