ECAT MCQs

The increase is 210 - 120 = 90 units.
The percentage increase is 90/120 × 100 = 75%.

The six-month total is 6 × 80 = 480 mm.
The missing month is 480 - 370 = 110 mm.

If 55% are girls, then 45% are boys.
Forty-five percent of 480 is 216.

The total is 400 people.
Males represent 240/400 × 100 = 60%.

A full pie chart is 360°.
Thus, 72/360 × 100 = 20%.

The increase is 25 on a base of 125.
Thus, 25/125 × 100 = 20%.

Use inclusion-exclusion: 80 + 60 - 20.
This gives 120 people who prefer at least one.

The two largest shares are 35% and 25%.
Their combined share is 60%.

The complement contains universal-set elements not in A.
Removing 2 and 4 leaves 1, 3, and 5.

A set with n elements has 2ⁿ subsets.
For n = 5, this is 2⁵ = 32.

Use n(M ∪ E) = n(M) + n(E) - n(M ∩ E).
Thus, 22 + 18 - 8 = 32.

Thirty-two students study at least one subject.
Out of 40 students, 40 - 32 = 8 study neither.