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Quantitative Abilities Flashcards

6 cards from real TACHS practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 Quantitative Abilities flashcards as text
  1. Which of the following is NOT a prime number?

    Answer: 27

    27 = 3 × 9, so it has factors other than 1 and itself, making it composite, not prime.

  2. If n + 7 = 15, what is the value of 3n?

    Answer: 24

    n + 7 = 15 → n = 8, then 3n = 3 × 8 = 24.

  3. A shirt originally costs $40 and is on sale for 25% off. What is the sale price?

    Answer: $30

    25% of $40 = $10 discount, so the sale price is $40 − $10 = $30.

  4. The average of five numbers is 12. If four of the numbers are 10, 13, 11, and 14, what is the fifth number?

    Answer: 12

    The sum of all five numbers must be 5 × 12 = 60; the sum of the four known numbers is 10+13+11+14 = 48; the fifth number is 60 − 48 = 12.

  5. In a TACHS pattern question, the shapes go: circle, triangle, square, circle, triangle, square. What is the 14th shape?

    Answer: Triangle

    The pattern repeats every 3 shapes; 14 ÷ 3 = 4 remainder 2, so the 14th shape is the 2nd in the pattern: triangle.

  6. If a car travels 180 miles in 3 hours, what is its average speed?

    Answer: 60 mph

    Average speed = distance ÷ time = 180 ÷ 3 = 60 mph.