ECAT Mathematics MCQs

The inner rectangle measures 46 m by 26 m, with area 1,196 m².
The full area is 1,500 m², so the path area is 304 m².

The probability is 4/10 × 3/9.
This simplifies to 12/90 = 2/15.

The intersection contains elements common to both sets.
Only 3 appears in both A and B.

Three distinct objects can be arranged in 3! ways.
Thus, 3! = 3 × 2 × 1 = 6.

The union contains every distinct element from either set.
Thus, A ∪ B = {1, 2, 3}.

The number of arrangements of 5 distinct objects is 5!.
Thus, 5! = 120.

Cube volume is side cubed.
Thus, 4³ = 64 cm³.

A cube has six square faces, each of area 25 cm².
Thus, total area is 6 × 25 = 150 cm².

Cuboid volume is length × width × height.
Thus, 8 × 5 × 3 = 120 cm³.

Cylinder volume is πr²h.
Thus, π × 9 × 10 = 90π cm³.

Curved surface area is 2πrh.
Thus, 2π × 4 × 7 = 56π cm².

Rectangle perimeter is 2(length + width).
Thus, 2(8 + 5) = 26 cm.