number system

Is this your test? Login to manage it. If not, you can generate a test just like it.

1.
1 point
Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:
2.
1 point
The sum of two number is 25 and their difference is 13. Find their product.
3.
1 point
The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is:
4.
1 point
The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:
5.
1 point
What is the sum of two consecutive even numbers, the difference of whose squares is 84?
6.
1 point
The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?
7.
1 point
The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ?
8.
1 point
In a two-digit, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:
9.
1 point
Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number.
10.
1 point
A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:
11.
1 point
If one-third of one-fourth of a number is 15, then three-tenth of that number is:
12.
1 point
Find the base k of the number system, if (543)6=(317)k.
13.
1 point
If 3+4=21, 5+2=35, 4+2=24 what is the value of 5+3?
14.
1 point
A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:
15.
1 point
If a - b = 3 and a2 + b2 = 29, find the value of ab.