Which two is true as i'm confused
A) 3+7 �ß 10 mod 15
17 + 9 �ß 4 mod 21
12 + 14 �ß 0 mod 26
B) 4+11 �ß 2 mod 13
9+7 �ß 4 mod 12
13 + 13 �ß 1 mod 25
C) 5+9 �ß 4 mod 10
16 + 13 �ß 3 mod 26
12 + 7 �ß 6 mod 14
d)2+7 �ß 9 mod 15
15 + 15 �ß 6 mod 22
8+5 �ß 2 mod 10
e)7+11 �ß 1 mod 18
6+13 �ß 9 mod 26
4+20 �ß 2 mod 22
F )13 + 19 �ß 6 mod 26
6+12 �ß 4 mod 14
17+ 10 �ß 9 mod 18
A)
3+7 ≡ 10 mod 15
3+7=10, 10÷15=0 remainder 10:TRUE.
17 + 9 ≡ 4 mod 21
17+9=26; 26÷21 Remainder=5: FALSE
12 + 14 ≡ 0 mod 26
12+14=26; 26÷26=1 remainder 0:TRUE
You can attempt the rest, and post your answers for checking if you wish.
17≡5 (mod 6)
To determine which statements are true, we need to calculate the values of the expressions using the modulo operator. The modulo operator, denoted as "mod," returns the remainder when one number is divided by another.
For example, in the expression "3+7 �ß 10 mod 15," we add 3 and 7, which equals 10. Then we calculate the remainder when 10 is divided by 15, which is also 10.
Let's go through each option and perform the calculations:
A) 3+7 �ß 10 mod 15: The sum is 10, and when divided by 15, the remainder is 10. This statement is true.
17 + 9 �ß 4 mod 21: The sum is 26, and when divided by 21, the remainder is 5. This statement is false.
12 + 14 �ß 0 mod 26: The sum is 26, and when divided by 26, the remainder is 0. This statement is true.
B) 4+11 �ß 2 mod 13: The sum is 15, and when divided by 13, the remainder is 2. This statement is true.
9+7 �ß 4 mod 12: The sum is 16, and when divided by 12, the remainder is 4. This statement is true.
13 + 13 �ß 1 mod 25: The sum is 26, and when divided by 25, the remainder is 1. This statement is true.
C) 5+9 �ß 4 mod 10: The sum is 14, and when divided by 10, the remainder is 4. This statement is true.
16 + 13 �ß 3 mod 26: The sum is 29, and when divided by 26, the remainder is 3. This statement is true.
12 + 7 �ß 6 mod 14: The sum is 19, and when divided by 14, the remainder is 5. This statement is false.
D) 2+7 �ß 9 mod 15: The sum is 9, and when divided by 15, the remainder is 9. This statement is true.
15 + 15 �ß 6 mod 22: The sum is 30, and when divided by 22, the remainder is 8. This statement is false.
8+5 �ß 2 mod 10: The sum is 13, and when divided by 10, the remainder is 3. This statement is false.
E) 7+11 �ß 1 mod 18: The sum is 18, and when divided by 18, the remainder is 0. This statement is false.
6+13 �ß 9 mod 26: The sum is 19, and when divided by 26, the remainder is 19. This statement is false.
4+20 �ß 2 mod 22: The sum is 24, and when divided by 22, the remainder is 2. This statement is true.
F) 13 + 19 �ß 6 mod 26: The sum is 32, and when divided by 26, the remainder is 6. This statement is true.
6+12 �ß 4 mod 14: The sum is 18, and when divided by 14, the remainder is 4. This statement is true.
17+ 10 �ß 9 mod 18: The sum is 27, and when divided by 18, the remainder is 9. This statement is true.
Based on the calculations, the true statements are:
A) 3+7 �ß 10 mod 15
12 + 14 �ß 0 mod 26
B) 4+11 �ß 2 mod 13
9+7 �ß 4 mod 12
13 + 13 �ß 1 mod 25
C) 5+9 �ß 4 mod 10
16 + 13 �ß 3 mod 26
D) 2+7 �ß 9 mod 15
F )13 + 19 �ß 6 mod 26
6+12 �ß 4 mod 14
17+ 10 �ß 9 mod 18