Exercise Book Detail

Complete collection of exercises with detailed solutions and explanations for medical-scientific entrance test preparation.

Beginner

Foundation Exercises

Basic exercises to build confidence and master fundamental concepts. Ideal for students starting their preparation for medical-scientific entrance tests.

75
Exercises
12
Topics
20h
Study Time
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Exercises

All exercises with detailed solutions and explanations. Click on "Show Solution" to reveal the answer.

#1

Arithmetic: Percentages

Arithmetic Easy
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What is 25% of 200?
  • A) 25
  • B) 40
  • C) 50
  • D) 75
Answer: C) 50
25% = 25/100 = 0.25. 0.25 × 200 = 50.
#2

Arithmetic: Fractions

Arithmetic Easy
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Simplify the fraction 12/36 to its lowest terms.
  • A) 1/2
  • B) 1/3
  • C) 2/3
  • D) 3/4
Answer: B) 1/3
12/36 ÷ 12/12 = 1/3. Both numerator and denominator are divisible by 12.
#3

Algebra: Linear Equations

Algebra Medium
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Solve for x: 3x + 7 = 22
  • A) x = 3
  • B) x = 5
  • C) x = 7
  • D) x = 9
Answer: B) x = 5
3x + 7 = 22 → 3x = 22 − 7 → 3x = 15 → x = 5.
#4

Algebra: Quadratic Equations

Algebra Medium
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Solve for x: x² − 5x + 6 = 0
  • A) x = 2, 3
  • B) x = 1, 6
  • C) x = 2, 4
  • D) x = 3, 4
Answer: A) x = 2, 3
x² − 5x + 6 = (x − 2)(x − 3) = 0 → x = 2 or x = 3.
#5

Geometry: Area

Geometry Easy
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What is the area of a rectangle with length 8 cm and width 5 cm?
  • A) 13 cm²
  • B) 26 cm²
  • C) 40 cm²
  • D) 80 cm²
Answer: C) 40 cm²
Area = length × width = 8 × 5 = 40 cm².
#6

Geometry: Pythagorean Theorem

Geometry Medium
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In a right triangle, the legs measure 3 cm and 4 cm. What is the length of the hypotenuse?
  • A) 5 cm
  • B) 6 cm
  • C) 7 cm
  • D) 8 cm
Answer: A) 5 cm
Using Pythagorean theorem: a² + b² = c² → 3² + 4² = 9 + 16 = 25 → c = √25 = 5 cm.
#7

Logic: Syllogisms

Logic Medium
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All doctors are professionals. Some professionals are researchers. Which conclusion is valid?
  • A) All doctors are researchers
  • B) Some doctors are researchers
  • C) No doctors are researchers
  • D) None of the above
Answer: D) None of the above
The premises do not guarantee any relationship between doctors and researchers. "Some professionals are researchers" does not specify whether those researchers are doctors.
#8

Logic: Conditional Statements

Logic Hard
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If it rains, then the ground is wet. The ground is wet. What can you conclude?
  • A) It rained
  • B) It did not rain
  • C) It may or may not have rained
  • D) The ground is not wet
Answer: C) It may or may not have rained
This is the fallacy of affirming the consequent. The ground could be wet for other reasons (e.g., sprinklers).
#9

Probability: Basic

Probability Easy
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A bag contains 4 red, 5 blue, and 6 green marbles. What is the probability of drawing a blue marble?
  • A) 1/3
  • B) 4/15
  • C) 5/15
  • D) 1/5
Answer: C) 5/15 = 1/3
Total marbles = 4 + 5 + 6 = 15. Blue marbles = 5. Probability = 5/15 = 1/3.
#10

Probability: Conditional

Probability Hard
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In a class of 30 students, 18 are female and 12 are male. 10 females and 4 males wear glasses. What is the probability that a randomly selected student is female, given that they wear glasses?
  • A) 5/7
  • B) 10/14
  • C) 5/14
  • D) 10/18
Answer: A) 5/7
Total with glasses = 10 + 4 = 14. Female with glasses = 10. Conditional probability = 10/14 = 5/7.

Book Features

What makes this exercise book effective for medical-scientific entrance exam preparation.

Structured Progression

Exercises organized by difficulty and topic for systematic learning.

Step-by-Step Solutions

Detailed solutions showing the reasoning process and methods.

Timed Practice

Suggested time limits for each exercise to simulate exam conditions.

Performance Tracking

Self-assessment tools to monitor progress and identify weak areas.

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