Question

Statement I The set $D=\{x: x$ is a prime number which is a divisor of 60$\}$ in roster form is $\{1,2,3$, $4,5\}$
Statement II The set $E=$ the set of all letters in the word 'TRIGONOMETRY', in the roster form is $\{T, R, I, G, O, N, M, E, Y\}$.

• A. Statement I is true
• B. Statement II is true
• C. Both are true
• D. Both are false

Answer 1

Answer: (B)

We can write $60=2 \times 2 \times 3 \times 5$
$\therefore$ Prime factors of 60 are 2,3 and 5 .
Hence, the set $D$ in roster form is $\{2,3,5\}$.
There are 12 letters in the word 'TRIGONOMETRY' out of which three letters $T , R$ and $O$ are repeated.
Hence, set $E$ in the roster form is $\{T, R, I, G, O, N, M, E, Y\}$.