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all positive integers appear in the sequence 1,2,2,3,3,3,4,4,4,4,..,and each positive integer k appears i the sequence k time . in the sequence, each term after the first is greater than or equal of the term before it. if the intrger 12 first is appears in the sequence as the nth term ,what is the value of n ?
A)62 B)66 C) 65 D)67 E)64
Let a, b and c be positive integers. The sum of 160 and the square of a is equal the sum of 5 and
the square of b. The sum of 320 and the square of a is equal to the sum of 5 and the square of b.
Find a.
Câu hỏi tiếng ANH :
If the sum of all the digits in each of two consecutive positive integers are both exactlt multiple of 5. Then what is the least sum of these two integers ?
A. 99 B. 999 C. 9999 D. 99999
There are n different positive integers, each one not greater than 2020, with the property that the sum of any three of them is divisible by 39. Find the greatest possible value of n?
toan quoc te nhaQuestion 1:There are two parallel lines in the figure. What is the value of x? Answer: x Question 2:ABC and RTS are similar triangles.The value of x is Question 3:If x0 and 5x+8+|3x|0 then xQuestion 4:I am a multiple of 70 between 400 and 600. My tens digit is odd. Who am I?Answer: Question 5:How many triples of integers (a,b,c) are there such that ? Answer: triples.Question 6:Each of the 37 students in the grade 8 at a school has one dog or one cat or both a dog and a cat. T...
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toan quoc te nha
Question 1:
There are two parallel lines in the figure. What is the value of x?
Answer: x =
Question 2:
ABC and RTS are similar triangles.
The value of x is
Question 3:
If x<0 and 5x+8+|3x|=0 then x=
Question 4:
I am a multiple of 70 between 400 and 600. My tens digit is odd. Who am I?
Answer:
Question 5:
How many triples of integers (a,b,c) are there such that
?
Answer: triples.
Question 6:
Each of the 37 students in the grade 8 at a school has one dog or one cat or both a dog and a cat. Twenty students have a dog and 24 students have a cat.
How many students have both a dog and a cat?
Answer: students.
Question 7:
The sum of 2 positive integer numbers is greater than their product if the smaller number is
Question 8:
How many different real numbers satisfy the following equation?
Answer:
Question 9:
The area of trapezoid ABCD is 180 .The altitude is 8 cm,AD is 10 cm,and BC is 17 cm.
What is AB,in centimeters?
Answer: cm.
Question 10:
There are 115 cars in a village of 26 families. Each family has either 4 or 5 cars.
How many families have 4 cars?
Answer: families.
What is the sum of the positive integers of 30?
The positive value of x such that x/y=1/5 and xy=5 is ...
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 ?
The rectangle ABCD is divided into 4 regions whose perimeters are indicated in the figure below,where X,Y,Z Are Distinct positive integers and X>Y .It is known that Z=\(\frac{X+Y}{3}\)and W<6.Find X