Math Mocktest (Pre-finals) BSIT 205

Xai Alexandrei Delos Reyes · 58問 · 2年前

通報

問題一覧

It is a branch of mathematics concerned with integers and their properties.

Number Theory

It means dividing a number evenly.

Divisibility

"d | n" means?

d divides n if there is no remainder on the division

"d ∤ n" means?

d does not divide n

These are positive integers p (greater than 1) that cannot be divided by any number except themselves and 1.

Prime numbers

These are positive integers that can be divided by at least one (1) other number (a factor) other than itself.

Composite Numbers

It is the largest non-zero integer d that is a common divisor of all the given integers if d | a and d | b and it is denoted by gcd (a, b).

Greatest Common Divisor

It is the smallest integer that is a common multiple (denominator) of all the given integers and it is denoted by lcm (a, b).

Least Common Multiple

Which number system is the most commonly used in computers?

Binary System

How many digits are used in the binary number system?

two

Which number system uses the digits 0 through 9 to represent numbers?

Decimal Number System

Which number system uses the digits 8, digits: {0, 1, 2, 3, 4, 5, 6, 7}

Octal System

Which number system uses the digits: {0, 1}.

Binary system

Which number system uses the digits {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F}

Hexadecimal System

What place is the number "4"in 3854

Ones

What place is the number "7"in 5572

Tens

What place is the number "6"in 3654

Hundreds

What place is the number "3"in 3644

Thousands

What place is the number "7"in 17.5423

Ones

What place is the number "3"in 34.6658

Tens

What place is the number "8"in 65.856

Tenths

What place is the number "9"in 41.892

Hundredths

What place is the number "3"in 81.813

Thousandths

2 divides n if the last digit of the number is

even (e. g. 0, 2, 4, 6 or 8)

3 divides n if...?

if the sum of the digits is divisible by 3

4 divides n if...

if the last two digits is divisible by 4

5 divides n if...?

if the last digit is either 0 or 5

6 divides n if...?

it is divisible by 2 and it is divisible by 3.

7 divides n if...?

take the last digit, double it, and subtract it from the rest of the number. you get an answer divisible by 7.

8 divides n if...?

if the number formed by the last three digits is divisible by 8.

9 divides n if...?

if the sum of the digits is divisible by 9.

10 divides n if...?

if the last digit is 0

11 divides n if...?

divides n if the difference between the sum of one set of alternate digits (from left to right) and the sum of the other set of alternate digits (from left to right) is 0 or divisible by 11

12 divides n if...?

if the number is divisible by both 3 and 4

Is 46 Divisible by 2?

True

Is 57 Divisible by 2?

False

Is 92 Divisible by 2?

True

Is 145 Divisible by 5?

True

Is 236 Divisible by 5?

False

Is 770 Divisible by 5?

True

Is 136 Divisible by 6?

False

Is 96 Divisible by 6?

True

Is 244 Divisible by 6?

False

Is 284 Divisible by 9?

False

Is 153 Divisible by 9?

True

Is 729 Divisible by 9?

True

Is 150 Divisible by 10?

True

Is 810 Divisible by 10?

True

Is 233 Divisible by 10?

False

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