The monthly rainfall chart based on 50 years of rainfall in Agra is shown in the following figure. Which of the following are true? $(k$ percentile is the value such that $k$ percent of the data fall below that value)

(i) On average, it rains more in July than in December

(ii) Every year, the amount of rainfall in August is more than that in January

(iii) July rainfall can be estimated with better confidence than February rainfall

(iv) In August, there is at least $500 \mathrm{~mm}$ of rainfall

(A) (i) and

(ii)

(B) (i) and (iii)

$(C)$ (ii) and

(iii)

(D) (iii) and (iv)

The monthly rainfall chart based on 50 years of rainfall in Agra is shown in the following figure. Which of the following are true? $(k$ percentile is the value such that $k$ percent of the data fall below that value)

(i) On average, it rains more in July than in December

(ii) Every year, the amount of rainfall in August is more than that in January

(iii) July rainfall can be estimated with better confidence than February rainfall

(iv) In August, there is at least $500 \mathrm{~mm}$ of rainfall

(A) (i) and

(ii)

(B) (i) and (iii)

$(C)$ (ii) and

(iii)

(D) (iii) and (iv)

For a real symmetric matrix $[\mathbf{A}],$ which of the following statements is true:

(A) The matrix is always diagonalizable and invertible.

(B) The matrix is always invertible but not necessarily diagonalizable.

(C) The matrix is always diagonalizable but not necessarily invertible.

(D) The matrix is always neither diagonalizable nor invertible.

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