MIDTERM EXAMINDATION FOR NUMBER THEORY 2024

Branch of pure mathematics devoted primarily to the study of the integers.

• Number Theory

• Arithmetic

• Cryptography

• Aryabata

It is based on the idea that multiplying primes together is much easier than figuring out which primes were multiplied to form a number.

• Arithmetic

• Number Theory

• Cryptography

• Aryabhata

Positive whole numbers excluding zero, it is also called natural numbers.

• Whole Numbers

• Rational Numbers

• Counting Numbers

• Real Numbers

A number that can be written as fraction and whose numerator and denominators are integers.

• Whole Numbers

• Rational Numbers

• Counting Numbers

• Real Numbers

This formula is often used in proofs and derivations, which makes repeated use of the familiar factorial function.

• Factorial Formula

• Recursive Formula

• Pascal’s Triangle

• Roman Coefficient

Binomial coefficient of 7choose 5 using Recursive Formula.

• 21

• 22

• 23

• 24

A number is completely divisible by ______ if the sum of its digits is divisible by 3.

• 12

• 6

• 9

• 3

If subtracting twice of the last digit from the number formed by remaining digits is 0 or divisible by 7, the number is divisible by ______.

• 14

• 7

• 21

• 24

If a number is divisible by both 3 and 4, then the number is divisible by ______.

• 7

• 12

• 14

• 24

Identify a number divisible by 9.

• 117

• 998

• 921

• 89