Mr. Anuj deposits ₹500 per month for 18 months in a recurring deposit account at a certain rate. If he earns ₹570 as interest at the time of maturity, then his matured amount is:

1. ₹(500 x 18 + 570)

2. ₹(500 x 19 + 570)

3. ₹(500 x 18 x 19 + 570)

4. ₹(500 x 9 x 19 + 570)

Which of the following cannot be the probability of any event:

1. $\dfrac{5}{4}$

2. 0.25

3. $\dfrac{1}{33}$

4. 67%.

If $A = \begin{bmatrix$}[r] 0 & 1 \ 1 & 0 \end{bmatrix}, then A² is equal to:

1. $\begin{bmatrix$}[r] 1 & 1 \ 0 & 0 \end{bmatrix}

2. $\begin{bmatrix$}[r] 0 & 0 \ 1 & 1 \end{bmatrix}

3. $\begin{bmatrix$}[r] 1 & 0 \ 0 & 1 \end{bmatrix}

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

In the given diagram, chords AC and BC are equal. If ∠ACD = 120°, then ∠AEC is:

1. 30°

2. 60°

3. 90°

4. 120°