Question : If $a+b+c=7$ and $a^3+b^3+c^3-3abc=175$, then what is the value of $(a b+b c+c a)$?

Option 1: 8

Option 2: 9

Option 3: 7

Option 4: 6

Question : What is the value of $6-(6\div 2-3+7-2) \times[\{3-2 \div 2\} \times 5-6]?$

Option 1: – 4

Option 2: – 14

Option 3: – 12

Option 4: – 16

Question : If $a^2+b^2+c^2=14$ and $a+b+c=6$, then the value of $(ab+bc+ca)$ is:

Option 1: 11

Option 2: 12

Option 3: 13

Option 4: 14

Question : If $(x+\frac{1}{x})^2=3$, then what is the value of $x^6 + x^{–6}$?

Option 1: 6

Option 2: 2

Option 3: –6

Option 4: –2

Question : If $ax–4y = – 6$ has a slope of $-\frac{3}{2}$, what is the value of $a$?

Option 1: 6

Option 2: 3

Option 3: – 6

Option 4: – 3