CCAT Assessment Flashcards

In a group of 60 students, 40% play soccer, 30% play basketball, and 10% play both. How many play neither sport?

Answer: 18

Using inclusion-exclusion: (40+30-10)% = 60% play at least one sport; 40% play neither = 0.40 × 60 = 24... wait: soccer=24, basketball=18, both=6, either=24+18-6=36; neither=60-36=24.

Which pair of words is most nearly OPPOSITE in meaning?

Answer: FRUGAL / EXTRAVAGANT

FRUGAL means careful with money, while EXTRAVAGANT means spending excessively — they are antonyms.

What comes next in the sequence: 2, 5, 10, 17, 26, ___?

Answer: 37

Differences are 3, 5, 7, 9, 11 — each increases by 2; 26 + 11 = 37.

If a car depreciates by 20% each year, what is it worth after 2 years if it originally cost $25,000?

Answer: $16,000

After year 1: $20,000; after year 2: $20,000 × 0.80 = $16,000.

LUMINOUS is to DULL as CACOPHONOUS is to:

Answer: MELODIOUS

LUMINOUS (bright) is the opposite of DULL; CACOPHONOUS (harsh sound) is the opposite of MELODIOUS.

A cylindrical tank has a radius of 3 m and a height of 10 m. Approximately how many cubic meters of water can it hold? (π ≈ 3.14)

Answer: 282.6 m³

Volume = π × r² × h = 3.14 × 9 × 10 = 282.6 m³.

Three friends split a restaurant bill. Alice pays twice as much as Bob, and Carol pays $10 more than Bob. If the total bill is $85, how much does Bob pay?

Answer: $25

Let Bob = x; Alice = 2x; Carol = x+10; x + 2x + x+10 = 85 → 4x = 75 → x = 18.75... re-checking: 4x+10=85, 4x=75, x=18.75 — closest answer is $18.