DAT Quiz: Ratios Proportions And Absolute Value
4 questions · exam conditions
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Ratios Proportions And Absolute ValueQuestion 1 of 4

In a dental clinic, the ratio of disposable gloves used by the hygienists to those used by the dentists is 5:35:3. If the clinic ordered 640 pairs of gloves for hygienists this month, how many pairs were ordered for dentists, assuming the same ratio is maintained?

384
256
192
128
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DAT Quiz

DAT Quiz: Ratios Proportions And Absolute Value

Practice Ratios Proportions And Absolute Value in DAT with focused quiz questions that help you check what you know, review explanations, and build confidence with test-style prompts.

What this quiz covers

This quiz focuses on Ratios Proportions And Absolute Value, giving you a quick way to practice the rules, question types, and explanations that matter most for DAT.

How to use this quiz

Try each quiz question before looking at the correct answer. Use the explanations to review missed ideas, then come back to similar questions until the pattern feels familiar.

All questions

Question 1

In a dental clinic, the ratio of disposable gloves used by the hygienists to those used by the dentists is 5:35:3. If the clinic ordered 640 pairs of gloves for hygienists this month, how many pairs were ordered for dentists, assuming the same ratio is maintained?

  1. 384 (correct answer)
  2. 256
  3. 192
  4. 128
Explanation: When you encounter ratio problems on the DAT, you're working with proportional relationships where quantities maintain a consistent relationship to each other. Given that hygienists use gloves in a 5:35:3 ratio compared to dentists, this means for every 5 pairs hygienists use, dentists use 3 pairs. Since you know hygienists ordered 640 pairs, you can set up a proportion: 53=640x\frac{5}{3} = \frac{640}{x}, where xx represents dentist glove pairs. Cross-multiplying: 5x=3×640=19205x = 3 \times 640 = 1920, so x=19205=384x = \frac{1920}{5} = 384 pairs for dentists. Looking at the wrong answers: Choice B (256) results from incorrectly calculating 640×35=384640 \times \frac{3}{5} = 384 but making an arithmetic error. Choice C (192) comes from mistakenly using 640×310640 \times \frac{3}{10}, suggesting confusion about whether to use parts of the ratio versus the total ratio. Choice D (128) appears to come from using 640×15640 \times \frac{1}{5}, which completely misapplies the ratio relationship. The correct answer is A (384). Strategy tip: In ratio problems, always identify what you know and what you're solving for, then set up your proportion carefully. Double-check by verifying the ratio: 640:384640:384 should simplify to 5:35:3. Dividing both by 128 gives you exactly 5:35:3, confirming your answer. This verification step catches most calculation errors.

Question 2

A laboratory needs to prepare a buffer solution where the ratio of acid to base to salt is 1:3:2. If the final solution must contain exactly 240 mL of base, and the absolute deviation of the acid concentration from 16.67% must not exceed 0.83%, what is the range of possible total volumes for the solution?

  1. 480 mL only (correct answer)
  2. 460 mL to 500 mL
  3. 470 mL to 490 mL
  4. 465 mL to 495 mL
  5. 475 mL to 485 mL
Explanation: Given the ratio acid:base:salt = 1:3:2, total parts = 6. If base = 240 mL represents 3 parts, then each part = 80 mL. Therefore: acid = 80 mL, base = 240 mL, salt = 160 mL. Total volume = 480 mL. Acid concentration = 80/480 = 16.67% exactly. Since the concentration is exactly 16.67%, the absolute deviation is 0%, which satisfies the ≤0.83% requirement. The fixed ratio and exact base volume uniquely determine the total volume as 480 mL.

Question 3

A pharmaceutical company mixes three compounds in a ratio such that compound A comprises 25% of the mixture, the ratio of compound B to compound C is 5:7, and the absolute difference between the actual percentage of compound C and 43.75% is minimized. If the total mixture is 800 mL, what is the volume of compound B in mL?

  1. 250 mL (correct answer)
  2. 225 mL
  3. 275 mL
  4. 200 mL
  5. 300 mL
Explanation: Compound A = 25% × 800 = 200 mL. Remaining volume for B and C = 600 mL. With B:C = 5:7, total parts = 12. Therefore B = (5/12) × 600 = 250 mL and C = (7/12) × 600 = 350 mL. Verification: C percentage = 350/800 = 43.75% exactly, so the absolute difference from 43.75% is 0%, which is minimized.

Question 4

In a dental practice, the ratio of pediatric to adult to geriatric patients is 3:7:2. After a community outreach program, the ratio changes to 5:6:4. If the absolute value of the change in the number of adult patients is 45, and the total number of patients increases, what was the original total number of patients?

  1. 180 (correct answer)
  2. 240
  3. 300
  4. 360
  5. 420
Explanation: Let the original total be T patients. Originally: pediatric = 3T/12 = T/4, adult = 7T/12, geriatric = 2T/12 = T/6. Let the new total be S patients. After program: pediatric = S/3, adult = 2S/5, geriatric = 4S/15. Since the total increases and adults decreased from 58.33% to 40% of total, we test if adults decreased by 45. If T = 180: Original adults = 7(180)/12 = 105. If adults increased by 45: new adults = 150. Then 2S/5 = 150, so S = 375. Original ratios: 45:105:30 = 3:7:2 ✓. New ratios: 125:150:100 = 5:6:4 ✓. Change in adults = |150 - 105| = 45 ✓.