If matrix M = $\begin{bmatrix$}[r] 1 & 3 \ -2 & 5 \end{bmatrix}, then the matrix -2M + 2I is :

1. $\begin{bmatrix$}[r] 0 & -6 \ 4 & -8 \end{bmatrix}

2. $\begin{bmatrix$}[r] 0 & -4 \ 6 & 8 \end{bmatrix}

3. $\begin{bmatrix$}[r] 4 & 12 \ 0 & -4 \end{bmatrix}

4. $\begin{bmatrix$}[r] -4 & 0 \ -8 & 6 \end{bmatrix}

If in △ABC and △DEF, $\dfrac{AB}{DE} = \dfrac{BC}{FD}$, then the two triangles will be similar to each other, if :

1. ∠A = ∠F

2. ∠B = ∠D

3. ∠B = ∠E

4. ∠A = ∠D

If the 23rd term of an A.P. exceeds its 32nd term by -18, then its common difference is :

1. 3

2. 2

3. -2

4. 5

From a solid cylinder of height h cm and base radius r cm, a conical cavity of the same height and same radius is drilled out.

If the slant height of the conical cavity is l cm, the surface area of the remaining solid is :

1. 2πrh + πrl

2. 2πrh - πr² + πrl

3. 2πrh + πrl + πr²

4. 2πrh - πrl + πr²