Solution: The minimum number of this class is: 7*8*4+9=233.
2. Stack 2 100 cubes with side length of 1 cm into a cuboid. Its height is 1 decimeter, and its length and width are greater than its height. Its length is15cm and its width is14cm.
3. Three students, A, B and C, go to buy books together. The number of books they buy is double digits, with A buying the most and C buying the least. Knowing that the sum of these books is even, and their product is 3960, how many books can B buy at most?
Solution: 3960 = 2 * 2 * 3 * 5 * 6 *11.
=22
*
10
*
18
That is, B can buy 18 books at most.
The sum of two numbers is 73. If you tick off one of the large numbers, you will get a decimal. What is this big number?
Solution: Let a large number be10A+B.
, then the decimal is a.
, and then:
10a+b+a=73
1 1a+b=73
a=6
b=7
That is, this large number is 67.
5. Decompose 1000 into the sum of two natural numbers, one is a multiple of 7 and the other is a multiple of 1 1. If one of these two natural numbers is required to be as large as possible and the other is as small as possible, what are these two numbers?
Solution: 1000=2 1+979.
That is, these two numbers are 2 1 and 979.
6. The sum of the first 29 natural numbers plus 200 1 equals the sum of the other 29 natural numbers. What is the smallest of these 29 natural numbers?
Solution: (1+29) * 29/2+2001= 2436.
Let the smallest be a.
, the maximum quantity is (a+28)
, and then:
(a+a+28)*29/2=2436
2a+28= 168
a=70
That is, the smallest number is 70.