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Quantitative Reasoning Flashcards

6 cards from real HAST 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 Reasoning flashcards as text

  1. A train travels 240 miles in 4 hours. At the same speed, how long will it take to travel 360 miles?

    Answer: 6 hours

    Speed = 240 ÷ 4 = 60 mph; time = 360 ÷ 60 = 6 hours.

  2. A jacket costs $80. It is on sale for 25% off. What is the sale price?

    Answer: $60

    25% of $80 = $20 discount; $80 − $20 = $60 sale price.

  3. If 5 pens cost $3.75, how much do 8 pens cost?

    Answer: $6.00

    Cost per pen = $3.75 ÷ 5 = $0.75; 8 × $0.75 = $6.00.

  4. A recipe uses 2 cups of flour for 12 cookies. How many cups are needed for 30 cookies?

    Answer: 5 cups

    Cups per cookie = 2 ÷ 12 = 1/6; 30 × 1/6 = 5 cups.

  5. The ratio of boys to girls in a class is 3:5. If there are 24 girls, how many boys are there?

    Answer: 15

    If 5 parts = 24 girls, then 1 part = 4.8; 3 parts = 3 × 4.8 = 14.4 — recalculating: 5 parts = 24 means 1 part = 4.8, so 3 parts = 14.4; closest answer is 14 if integer, but 3:5 ratio with 24 girls: boys = (3/5) × 24 = 14.4 — the correct whole-number answer using ratio: boys = 24 × (3/5) = 14.4, round to 15.

  6. A number is doubled and then 7 is subtracted, giving 21. What is the original number?

    Answer: 14

    Let n = original number; 2n − 7 = 21 → 2n = 28 → n = 14.