Explanation

Total admissions = 1250

Graphic designing = 400

Painting = 200

Calligraphy = 500

Total for these three = 400 + 200 + 500 = 1100

Admissions for baking = 1250 - 1100 = 150

Fraction for baking = 150 / 1250

= 3 / 25

Explanation

Given CF = 24 and the centroid G divides CF in a 2:1 ratio, with the longer part toward the vertex C and the shorter part toward the midpoint F of side AB.

The total length CF is divided into 3 parts, where 2 parts are toward the vertex (CG) and 1 part is toward the midpoint (FG).

FG = (1/3) × CF = (1/3) × 24 = 8.

Explanation

A star with an initial mass more than five times that of the Sun ends its life as a black hole after a supernova explosion.

Its gravitational pull becomes so strong that not even light can escape.

Explanation

x - 1/x = 4

Square it:

x² - 2 1/x² = 16

Add 2:

x² + 1/x² = 18

Explanation

Cat's leg shows possession — the leg belongs to one cat.

Apostrophe + s ('s) is used to indicate singular possession.

Explanation

Dendrites are branched fibers that receive nerve impulses and carry them toward the cell body.

They act like antennas, picking up signals from other neurons.

Explanation

Insulators are materials that resist the flow of heat (and also electricity), such as wood, rubber, or plastic.

They are used to prevent heat loss or protect from heat transfer.

Explanation

P(A) is the power set of A = {1, 2}, which includes all subsets: ∅, {1}, {2}, {1, 2}.

So, {2} is one of the subsets, hence it is an element of P(A).

Explanation

Equal sets have exactly the same elements, regardless of order.

Since A = {a, b, c} and B = {b, c, a} contain the same elements, they are equal.

Explanation

"But" is used to show a contrast between two ideas — here, talent vs. lack of confidence.

It correctly connects the opposing thoughts in the sentence.