Question : $-7 p-[3 q-\{8 p-(4 q-10 p)\}]=?$
Option 1: $7p-11q$
Option 2: $11p-7q$
Option 3: $9p-12q$
Option 4: $12p-9q$
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Correct Answer: $11p-7q$
Solution : $-7 p-[3 q-\{8 p-(4 q-10 p)\}]$ $= -7p -[3q-(8p-4q+10p)]$ $= -7p -[3q-(18p-4q)]$ $= -7p - [3q-18p+4q]$ $= -7p -7q+18p$ $= 11p-7q$ Hence, the correct answer is $11p-7q$.
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Question : Find the value of the given expression: $10 \div 5 × 1+3 - [8 - \{5 - (7 - 7 - 9)\}]$
Option 1: 11
Option 2: 10
Option 3: 9
Option 4: 8
Question : When $2x+\frac{2}{x}=3$, then the value of ($x^3+\frac{1}{x^3}+2)$ is:
Option 1: $\frac{2}{7}$
Option 2: $\frac{7}{8}$
Option 3: $\frac{7}{2}$
Option 4: $\frac{8}{7}$
Question : Directions: The information given below represents the number codes for the given letters. Select the combination of numbers so that the letters arranged accordingly will form a meaningful word. R = 1, E = 2, A = 3, C = 4, T = 5, I = 6, V = 7, E = 8
Option 1: 4, 1, 2, 3, 5, 8, 7, 6
Option 2: 4, 1, 2, 3, 5, 6, 7, 8
Option 3: 7, 2, 1, 3, 8, 4, 5, 6
Option 4: 4, 3, 1, 5, 6, 7, 8, 2
Question : If $\tan ^2 \alpha=3+Q^2$, then $\sec \alpha+\tan ^3 \alpha \operatorname{cosec} \alpha=?$
Option 1: $\left(3+Q^2\right)^{\frac{3}{2}}$
Option 2: $\left(7+Q^2\right)^{\frac{3}{2}}$
Option 3: $\left(5-Q^2\right)^{\frac{3}{2}}$
Option 4: $\left(4+Q^2\right)^{\frac{3}{2}}$
Question : If $8 \cot A = 7$, then find $\sin A$.
Option 1: $\frac{7}{15}$
Option 2: $\frac{8}{\sqrt{113}}$
Option 3: $\frac{7}{8}$
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