Question 1

We will determine if each statement is always true, always false, or depends on specific conditions.

Step 1 — Statement (i) Analysis

Let's look at the first statement. "All mathematics textbooks are interesting." This is a matter of personal opinion. What one person finds interesting, another may not. Its truth depends on the reader. So, it is not universally true or false.

$\boxed{\text{Ambiguous}}$

Step 2 — Statement (ii) Analysis

Now, let's check the second statement. "The distance from the Earth to the Sun is approximately $1.5 \times 10^8$ km." This is a known scientific fact. Astronomers have measured this distance. The value $1.5 \times 10^8$ km is a good approximation. This statement is factually correct.

$\boxed{\text{Always true}}$

Step 3 — Statement (iii) Analysis

Next, consider the third statement. "All human beings grow old." This describes a natural biological process. Every human who lives long enough ages. It is a universal aspect of life. This statement is a general truth.

$\boxed{\text{Always true}}$

Step 4 — Statement (iv) Analysis

Let's examine the fourth statement. "The journey from Uttarkashi to Harsil is tiring." This is a subjective experience. How tiring a journey is varies by person. It depends on fitness and travel mode. Its truth depends on the individual. So, it is not universally true or false.

$\boxed{\text{Ambiguous}}$

Step 5 — Statement (v) Analysis

Finally, let's look at the last statement. "The woman saw an elephant through a pair of binoculars." This describes a specific event. We do not know if this event happened. It is not a general rule or fact. Its truth depends on the actual observation. So, we cannot say it is always true or false.

$\boxed{\text{Ambiguous}}$

Answer

(i) Ambiguous (ii) Always true (iii) Always true (iv) Ambiguous (v) Ambiguous