Students who like only Science = Total Science lovers - Both Mathematics and Science lovers = 80 - 50 = 30.

People who like only chocolate = Total chocolate lovers - Both chocolate and vanilla lovers = 150 - 50 = 100.

People who like only bananas = Total banana lovers - Both apple and banana lovers = 70 - 40 = 30.

People who like only cricket = Total cricket lovers - Both cricket and football lovers = 120 - 40 = 80.

To find those who like only chocolate, subtract those who like both: 30 - 10 = 20.

Forces in a constrained system must satisfy all imposed constraints, affecting their distribution.

Resistance in an electrical circuit is analogous to a narrow pipe that restricts the flow of water.

Degrees of freedom refer to the number of independent movements or parameters that can vary in a system.

A fuse acts like a safety valve in a water system, protecting the circuit from excessive current by breaking the connection.

A battery is analogous to a water pump, as it provides the energy needed to move the current through the circuit.

Mass spectrometry separates ions based on their mass-to-charge ratio, allowing for the identification of different groups.

Using the Pythagorean theorem, the distance from point A is √(30^2 + 40^2) = 50 meters.

You type with a keyboard, just as you click with a mouse.

The conclusion is valid based on the premises.

The conclusion is not valid because the relationship between fish and dogs is not established.

The conclusion does not logically follow from the premises.

The conclusion is valid. Since all whales are mammals and no mammals lay eggs, it follows that no whales lay eggs.

The conclusion is valid because if no students are lazy, then it follows that they cannot be among those who are not successful.

S is the sister-in-law of P as she is the sister of P's husband, R.

Ravi starts facing North. He walks South 10m, then turns left (East) and walks 5m, then turns left again (North) and walks 10m, ending up North of his starting point.

'Is' is the correct form because 'neither' is singular.

Image 3 is the correct mirror image of the original figure.

Option A completes the alternating pattern of shapes.

The series follows a color change pattern, and B is the correct answer.

Piano is a musical instrument, while the others are sports.

Oxygen is a reactive gas, while the others are noble gases.

'Postpone' means to delay or put off, similar to 'procrastinate'.

'Facilitate' means to make an action easier, which fits the context of resource distribution.

Slow is an antonym of the other three words.

'Plentiful' is a synonym for 'abundant', meaning existing in large quantities.