Question : The pH of a neutral solution is ______.

Option 1: 7

Option 2: 0

Option 3: 8

Option 4: 4

Question : Find the remainder when 8⁸ + 6 is divided by 7.

Option 1: 0

Option 2: 2

Option 3: 3

Option 4: 1

Question : Direction: After interchanging + and -, 8 and 7, which one of the following becomes correct?

Option 1: 8 - 7 + 3 x 5 = 35

Option 2: 7 x 8 + 6 - 9 = 25

Option 3: 6 + 8 x 2 - 7 = 0

Option 4: 8 x 2 + 7 - 6 = 9

Question : Factorise: $x^{2}+5x-14$.

Option 1: $(x-7)(x+2)$

Option 2: $(x-1)(x+14)$

Option 3: $(x+7)(x-2)$

Option 4: $(x-14)(x+1)$

Question : If $\frac{22 \sqrt{2}}{4 \sqrt{2}-\sqrt{3+\sqrt{5}}}=a+\sqrt{5} b$, with $a, b>0$, then what is the value of $(a b):(a+b)$?

Option 1: 7 : 8

Option 2: 7 : 4

Option 3: 4 : 7

Option 4: 8 : 7