Explanation

• Fleming's left-hand rule correlates to current, magnetic field and direction of force on a conductor.
• This rule states that if the thumb, forefinger and middle finger of the left hand are stretched to be perpendicular to each other, and if the forefinger represents the direction of the magnetic field, the middle finger represents the direction of the current, then the thumb represents the direction of force.
  

Explanation

• Distance = 12 cm = 120 mm (since 1 cm = 10 mm)
• Time = 60 s
• Average speed = Distance / Time = 120 mm / 60 s = 2 mm/s = 2 mms¹
• So, the snail's average speed is indeed 2 mms¹.

Explanation

The odd one out is: final velocity = initial_velocity + (2 x acceleration x distance moved)

The other three equations are the standard equations of uniformly accelerated motion:

• 1. v = u + at (final velocity = initial velocity + acceleration x time)
• 2. s = ut + 0.5at² (distance moved = initial velocity x time + 0.5 x acceleration x time²)
• 3. v² = u² + 2as (final velocity² = initial velocity² + 2 x acceleration x distance moved)

Explanation

• Every natural number can be expressed as a ratio of integers (itself divided by 1), making them rational numbers.
• Natural numbers are a subset of rational numbers.

Explanation

• The factorial operation is only defined for non-negative integers, so it is not possible to compute the factorial of a negative integer. Therefore, the factorial of a negative integer does not exist.

Explanation

The transpose of a square matrix is also a square matrix.

The transpose of a matrix is obtained by swapping its rows with its columns, and this operation preserves the square shape of the matrix.

Explanation

• The negation of a given number is a unary operation, as it takes only one operand (the number itself) and returns its negative value.
• Unary operations are operations that take only one argument or input, unlike binary operations, which take two arguments or inputs.
• In this case, the negation operation (-) takes a single number as input and returns its negative value, making it a unary operation.

Explanation

• In the simplex method, the slack, surplus, and artificial variables are restricted to be non-negative.
• This means that their values must be greater than or equal to zero.

Explanation

• The correct answer is: 6^C2

This is because:

• 5^C2 = 10
• 5^C1 = 5
• 10 + 5 = 15

And:

• 6^C2 = 15
• So, 5^C2 + 5^C1 = 6^C2.

Explanation