Explanation

The given set:

{x|x ∈ N, 1 ≤ x < 4}

Can be read as:

The set of all natural numbers x such that 1 ≤ x < 4

This includes the numbers 1, 2, and 3, but excludes 4.

Explanation

To convert 17 m/sec to km/hr:

1 m/sec = 3.6 km/hr

17 m/sec = 17 × 3.6 km/hr

= 61.2 km/hr

Explanation

Explanation

1 is not a prime number because it has only one factor (1).

It’s also not composite because composite numbers have more than two factors.

Explanation

To find the ratio of passed to failed students:

Number of students who passed = Total students - Failed students

= 112 - 14

= 98

Ratio of passed to failed students = 98 : 14

Simplify the ratio by dividing both numbers by 14:

Ratio = 98/14 : 14/14

= 7 : 1

Explanation

A number is a multiple of 5 if it ends in 0 or 5.

Among the given options, 735 ends in 5, so 5 is a factor of 735.

Explanation

• ${\mathrm{\prime }}^{}$ (U complement) represents the elements not in $U$.
• Since $U$ is the universal set, its complement is an empty set (∅).

Explanation

Explanation

81 = 3 × 3 × 3 × 3 = 3⁴

All factors are prime, so it's the correct prime factorization.

Explanation

9592 ÷ 22 = 436

Quotient means the result of division without remainder.