Question : Directions: If 1 * 2 = 1, 2 * 3 = –1 and  3 * 4 = –5, then find the value of 7 * 9 = ?

Option 1: –47

Option 2: –29

Option 3: –2

Option 4: –9

Question : If $a-b=1$ and $a^{3}-b^{3}=61$, then the value of $ab$ will be:

Option 1: –20

Option 2: 20

Option 3: 30

Option 4: 60

Question : If (a – b) = 1 and ab = 6, then what is the value of (a³ – b³)?

Option 1: 21

Option 2: 23

Option 3: 19

Option 4: 25

Question : If $a+b=1$, find the value of $a^{3}+b^{3} - ab-(a^{2}-b^{2})^{2}$.

Option 1: –1

Option 2: 1

Option 3: 0

Option 4: 2

Question : Directions: If + means ÷, – means +, × means –, ÷ means ×, what will be the value of the following expression?
[{(34 × 12) – (4 ÷ 3)} + (12 – 5)] ÷ 5

Option 1: 10

Option 2: 1

Option 3: 2

Option 4: 20