**1.Find the smallest no of 4 digit which is divisible by 34?**

**Answer**– Smallest number of 4 digit is 1000.

If we divide 1000 by 34, we will get

Find the smallest no of 4 digit which is divisible by 34 |

29 as quotient and 14 as remainder.

So 1000 is not exactly divisible by 34.

If we deduct 14 from 1000

1000-14=986 which is a three digit number but exactly divisible by 34.

If we add 34 to the 986, we will get the next number which will be divisible by 34.

986+34=1020.

** Hence 1020 is the smallest number which is exactly divisible by 34.**

**2. Write the name of five systems of numeration found in the history of mathematics?**

** Answer- **Here is the list of some different number system available in the

History of Mathematics.

- The Mayan Number System

- The Egyptian Number system

- The Greek Number System

- The Babylonian Number System

- The Hindu-Arabic Numeral system

**3. The Least Prime number is:**

Answer- the Least Prime number is 2.

**4. What is a Prime Number?**

Answer: – A number other than 1 is said to be prime if its only factors are 1 and the number itself.

**5. The unit digit in the product**

** (654*418*927*453) is**

Answer-product of unit digits = 4*8*7*3=672.

Here unit digit is =2 (is the unit digit in the product).

So Answer is 2.

**6. Is 229 a prime number or what are the factors of 229?**

Answer- Yes 229 is a prime number.

Factors of 229 are 1 and 229 itself.

** 7. If a and b are two odd numbers, then which of the following is even?**

a. a + b

b. ab

c.a+b+1

d.ab+2

Answer is a. The sum of two odd numbers is even so a + b is even.

**8. How do you determine if a number is odd or even?**

Answer-A number which is not exactly divisible by 2 is an odd number.

And the number which is divisible by 2 is an even number or the number ends with 0,2,4,6,8 as its unit digit is an even number.

**9.**** How many tens is 70?**

Answer- 7 tens

7 tens make 70.