If the sum of first n natural numbers starting with 1 is a 3 digit number with identical digits, find n.
From 4 letters ab18 one can make all 18 numbers with 4 digits. (In a number, each digit is written only once.) The sum of all 18 possible numbers is 90216. Find a and b.
Câu 1 :Each of cars can take 8 people. How many cars needed to take 124 people?
Câu 2 : How many integer numbers between 200 and 300 are there for which the hundreds digit equals the sum of the other two digits?
Câu 3 : The average of five numbers is 20. The average of the five number is 18 when one of the numbers is chaned to 4. What is the orginal value of the changed number?
Câu 4 :A book has 250 pages starting at number 1. How many digits are there in the page numbers of the book?
Câu 5 : Find A, if A is 3 less than the average of 48; 55; 29 and A. The value of A is…
Câu 6 : The sum of denominator and numerator of a fraction is 121 and the fraction is equal to 4/7. Find the denominator of the fraction?
Câu 7 : The sum of two numbers is equal to 77. If the first number is multiplied by 8 and the second by 6, the two product are equal. The larger of these numbers is…
Câu 8 : Which is the greatest 2 - digit number divisible by 2, 3 and 4?
Câu 9 : Calculate: (1 + 2/5) x 6/7.
Câu 10 : Give the number sequence: 1, 4, 7, 10, 13, … Find the 15th term of the number sequence.
câu 1:16 ; câu 2 : ai mà biết được
Consider the set of the first one hundred natural numbers {0,1,2,3,…,99}. Let k be the sum of digits of a number in the set. Find the value of k such that the number of numbers whose digits add up to the same value is a maximum.
Hãy xem xét các thiết lập của một trăm số tự nhiên đầu tiên {0,1,2,3, ..., 99}. K là tổng các chữ số của một số trong các thiết lập. Tìm giá trị của k như vậy mà số lượng các số có chữ số thêm đến các giá trị tương tự là cực đại.
Question 1:
The least common multiple of 330; 65; 15 is
Question 2:
Given seven numbers: 25; 17; 39; 43; 239; 1021; 1023.
The composite numbers are
(Write numbers in order from the least to the greatest and use ";")
Question 3:
The common factors of 18 and 27 are
(Write numbers in order from the least to the greatest and use ";")
Question 4:
Given the set of even numbers: {2; 4; 6; …; 100}.The number of elements is
Question 5:
Find four integer numbers a,b,c,d such that
a + b + c + d = 1
a + c + d = 2
a + b + d = 3
a + b + c = 4
Answer: (a;b;c;d)=()
Question 6:
Find a four-digit natural number that is less than 2015.If the thousands digit is erased,the number will be decreased by 9 times.
Answer:The number is
Question 7:
Calculate: 1×2+2×3+⋯+100×101=
Question 8:
The term of the expression A=1-7+13-19+25-31+⋯ is
Question 9:
Given the expression A= ...
Find the value of n such that 2A+3=
Answer: n=
Question 10:
A natural number has six digits and the units digit is 4.If the units digit is moved to the first row then the number will be increasedby 4 times.The number is
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.
Find all natural numbers having two digit , knowing that twice the units digit 1 more than the ten digit , and if we write that two digits in reverse order, we get a new number which is 27 less than the old one
Tell the numbers to find are \(\overline{ab}\)
\(\Rightarrow\left\{{}\begin{matrix}2b-a=1\\\overline{ab}-\overline{ba}=27\end{matrix}\right.\)
=> 10a + b - 10b - a = 27
=> 9a - 9b = 27
=> a-b = 3
=> a = b + 3
=> 2b - 1 = b+3
=> 2b - b = 3 + 1
=> b = 4
=> a = \(2\cdot4-1=7\)
So he number to find is 74
Question 2:
The number of factors of 120 is
Question 5:
Find four integer numbers a,b,c,d such that
a + b + c + d = 1
a + c + d = 2
a + b + d = 3
a + b + c = 4
Answer: (a;b;c;d)=()
Question 6:
The 215th term of the expression A=1-7+13-19+25-31+⋯ is
Question 7:
A natural number will be increased by 9 times ifthe digit 0 is written between tens digit and units digit.The number is
Question 8:
Calculate: 1×2+2×3+⋯+100×101=
Question 9:
The root of the equation (x+1)+(x+2)+(x+3)+⋯+(x+100)=5750 is x=
Question 10:
The sum of digits of 31000 is A,the sum of digits of A is B,and the sum of digits of B is C.The value of C is
2: Ước của 120 là:
{1;2;3;4;5;6;8;10;12;15;20;24;30;40;60;120}
9: x+ (1+2+3+4+...+100) = 5750
x + 5050= 5750
x = 5750 - 5050 = 700
6. Chữ số thứ 215 là 1285
cau 2 la co 16 uoc
cau 5 a=7 b=-1 c=-2 d=-3
If n is divisible by 100 and 4900 < n < 5100 then n =
Question 8:
The perimeter of the square below is cm
(Simplify your answer)
Question 9:
The sum of two numbers is the greatest 4 – digit number and their ratio is 1:2. The smaller number is
Question 10:
If the sum of two numbers is 471 and there are 44 other numbers between the two numbers. Find the greater number.
Answer:
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? \(1\)
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.