Prove that the number \(a=\overline{1...15...56}\) is a perfect square.
( 2012 digits 1, 2011 digits 5 )
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prove that
:a=43^2014-1 is a composite number
b)b=11...1(2014 digits 1) + 444...4 + 1 is a square number
How many two-digit numbers N have the property that the sum of N and the number formed by reversing the digits of N is a perfect square ?The square SAMF has an area of 169. It contains two over lapping squares. The smaller of these sqares has an area that is one quarter of the larger of them, and the erea of their overlap is 4. What is the erea of the shaded region ?In the diagram, each of the integers 1 through 9 is to be placed in one circles, both horizontal and diagonal, add to 18. The 6 and...
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How many two-digit numbers N have the property that the sum of N and the number formed by reversing the digits of N is a perfect square ?The square SAMF has an area of 169. It contains two over lapping squares. The smaller of these sqares has an area that is one quarter of the larger of them, and the erea of their overlap is 4. What is the erea of the shaded region ?In the diagram, each of the integers 1 through 9 is to be placed in one circles, both horizontal and diagonal, add to 18. The 6 and 1 have been filled in as shown. Determine the value of the number represented by x in the diagram. Justify your answerHow many digits does the number 2013 have ?
Có bao nhiêu số có hai chữ số N có các tài sản mà tổng của N và số lượng được hình thành bằng cách đảo ngược các chữ số của N là một hình vuông hoàn hảo?
Các SAMF vuông có diện tích 169. Nó chứa hai qua các quảng trường vỗ. Nhỏ hơn của những sqares có một khu vực mà là một phần tư lớn hơn của họ, và các erea của chồng lên nhau của họ là 4. erea của vùng bóng mờ là gì?
Trong sơ đồ, mỗi số nguyên từ 1 đến 9 là phải được đặt trong một vòng tròn, cả chiều ngang và đường chéo, thêm vào 18. 6 và 1 đã được điền vào như hình vẽ. Xác định giá trị của các số đại diện bởi x trong biểu đồ. Biện minh cho câu trả lời của bạn
Bao nhiêu chữ số không số năm 2013 có?
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the number 53 and 134 have the same . sum of thier digits ( 5 + 3 = 8 and 1 + 3 + 4 = 8 ) what is the fist number greater than 2006 . Such that the sum of ít digits is the same as the sum of the digits of 2006 ?
John wrote a 3-digits number on a piece of a paper and asked Peter to guess it. Peter asked:Is the number 173 ?.John replied:One of the digits is correct, the position of that difiy is also correct. Peter asked again:Is the number 123 ?. Two digits are correct, but the position of those digits are wrong. Peter asked again:Is the number 324 ?. All three are correct , but the digits are all in the wrong places. What is the number written by John ?Help me. Ai đúng tớ tick với KB nhé
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John wrote a 3-digits number on a piece of a paper and asked Peter to guess it. Peter asked:"Is the number 173 ?".John replied:"One of the digits is correct, the position of that difiy is also correct". Peter asked again:"Is the number 123 ?". Two digits are correct, but the position of those digits are wrong." Peter asked again:"Is the number 324 ?". All three are correct , but the digits are all in the wrong places." What is the number written by John ?
Help me. Ai đúng tớ tick với KB nhé
173 - 1 digit correct
- position correct
132 - 2 digits correct
- both positions wrong
524 - 2 digits correct
- both positions correct
Answer is 523
Câu 1) the number is 13 less than 38?
Câu 2) The number of divisors of 1000?
Câu 3) The side in decimeters of a square whose are 16 900cm2?
Câu 4) What is the difference between the largest and the smallest 2-numbers that can be formed by the four digits 0,5,6 and 2?
Câu 1) bằng 25 lấy số lớn trừ số bé là 38 - 13 = 25
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1) Fill the mussing number. A cube has.....vertices
2) Fill the missing number. We're in the....st century
3) Ther are only two 2-digit numbers that are a multiple of 7 and the sum of thetr two digits is 10. Find the sum of these two 2-digit numbers: 70,119,140,21
4) The fourth power of 3 is...
5) Twice the square of 3....
6) The number of ethnic group in Vietnam?
7) The perimeter of 4cm square egde in cm?
1) Fill the mussing number. A cube has \(8\) veres
2) Fill the missing number. We're in the \(21\) st century
3) Ther are only two 2-digit numbers that are a multiple of 7 and the sum of thetr two digits is 10. Find the sum of these two 2-digit numbers: 70,119,140,21 \(70\)
4) The fourth power of 3 is \(64\)
5) Twice the square of 3 \(18\)
6) The number of ethnic group in Vietnam? \(54\)
7) The perimeter of 4cm square egde in cm? \(1\)
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Mình cũng đar giải ra như các bạn rồi, chỉ có câu 3) đáp án không phải là 70, mình đã trả lời trên thi toán tiếng Anh rồi. Nhưng dù sao cũng cảm ơn các bạn nhé.
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the sum of the digits of a certain two - digits number is 11. when you reverse its digits you decrease the number by 9
Exer 1: Given two natural numbers whose sum are 78293. The bigger number where 5 is the units digit and 2 is hundred digit. If we clean these digits then we obtain a number which equals the smaller number. Find two natural numbers.
Exer 2: Prove that: If x, y in N and x + 2y divisible by 5 then 3x - 4y divisibles by 5.
Exer 3: Given that 2x + 5y ⋮ 7. Prove that 4x + 3y ⋮ 7.
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Exer 1: Given two natural numbers whose sum are 78293. The bigger number where 5 is the units digit and 2 is hundred digit. If we clean these digits then we obtain a number which equals the smaller number. Find two natural numbers.
Exer 2: Prove that: If x, y \(\in\) N and x + 2y divisible by 5 then 3x - 4y divisibles by 5.
Exer 3: Given that 2x + 5y \(⋮\) 7. Prove that 4x + 3y \(⋮\) 7.
Exer 1:
Solution:
Suppose that, the unknown number is: \(\overline{x215}\) (where x \(\in\) N).
When we clean three digits then the smaller number is \(\overline{x}\).
We have: \(\overline{x215}\) + \(\overline{x}\) = 78293
\(\Rightarrow\) 1000. \(\overline{x}\) + 215 + \(\overline{x}\) = 78293
1001. \(\overline{x}\) = 78078
x = 78
Thus, we found two natural number: 78215 and 78.
Exer 2:
Solution:
We have: x + 2y \(⋮\) 5
\(\Rightarrow\) 2x + 4y \(⋮\) 5
(2x + 4y) + (3x - 4y) = 5x \(⋮\) 5
\(\Rightarrow\) 2x + 4y \(⋮\) 5
Deduce 3x - 4y \(⋮\) 5.
Exer 3:
Solution:
We have: 2x + 5y \(⋮\) 7
4x + 10y \(⋮\) 7
(4x + 10y) - (4x + 3y) = 7y \(⋮\) 7
\(\Rightarrow\) 4x + 10y \(⋮\) 7
Deduce 4x + 3y \(⋮\) 7.
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Fill in the circles with the numbers 1, 2, 3, 4, 5, 6 and 7. Each number can be used once without repetitions. The sum of the digits inside the circles at the four vertices of the square on the left is 15 and the sum of the digits inside the circles at the vertices of the regular pentagon on the right is 24. How many possible arrangements are there?
