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Sectional Test on Quantitative Techniques for CLAT UG [Part 1]

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Adtiya Aryan9 July 20252 min read
This sectional test on Quantitative Techniques is designed to help you practice the kind of data interpretation and basic arithmetic questions asked in CLAT UG. The difficulty level is moderate.

Passage-Based Questions (Q1–Q3)

The table below shows the number of students enrolled in five coaching institutes over 3 years:
Institute202220232024
A120013501500
B90010501200
C800950950
D100011501300
E7008501100
Q1. What is the percentage increase in the total number of students from 2022 to 2024?
A. 28%
B. 30%
C. 31.5%
D. 33%
Q2. Which institute had the highest percentage growth in student enrollment from 2022 to 2024?
A. A
B. B
C. D
D. E
Q3. What is the simplified ratio of the total students in A and B combined to D and E combined in 2024?
A. 3:2
B. 9:8
C. 6:5
D. 27:25

Passage-Based Questions (Q4–Q6)

A student spends 120 hours monthly studying for CLAT. The subject-wise percentage split is:
  • Legal Reasoning: 25%
  • Logical Reasoning: 20%
  • English: 15%
  • General Knowledge: 25%
  • Maths: 15%
Q4. How many hours are spent on Legal Reasoning and General Knowledge combined?
A. 50 hours
B. 55 hours
C. 60 hours
D. 65 hours
Q5. If the student increases Maths prep time by 50% (others unchanged), what will be the new total study time?
A. 127.5 hours
B. 130 hours
C. 129 hours
D. 135 hours
Q6. What is the angle representing Logical Reasoning in the pie chart?
A. 54°
B. 60°
C. 72°
D. 90°

Standalone Word Problems (Q7–Q10)

Q7. A book is marked at ₹500. It is sold at a 20% discount, and GST at 12% is added to the discounted price. What is the final price paid?
A. ₹476
B. ₹460
C. ₹448
D. ₹528
Q8. A student answers 80% of 25 questions correctly. Each correct answer earns 4 marks and each incorrect answer gets –1. What is the final score?
A. 72
B. 75
C. 76
D. 80
Q9. The ratio of students who passed to those who failed a test is 5:2. If 70 students appeared, how many failed?
A. 15
B. 20
C. 25
D. 30
Q10. A student scores 78, 82, 85, 80, and 75 in five subjects. What is the average score?
A. 78
B. 79
C. 80
D. 81

Answer Key with Explanations

QAnsExplanation
1C(6050 – 4600)/4600 × 100 = 31.52% ≈ 31.5%
2DInstitute E: (1100–700)/700 × 100 = 57.14%
3BA+B = 2700, D+E = 2400 → Ratio = 9:8
4C25% + 25% = 50% of 120 = 60 hours
5CMaths: 18h → 27h (50% increase) → New total = 129h
6CLogical: 20% × 360° = 72°
7C₹500 → 20% off = ₹400 → +12% GST = ₹448
8B20 correct ×4 = 80, 5 wrong ×(–1) = –5 → Total = 75
9B5x + 2x = 70 → x = 10 → Failed = 2x = 20
10C(78 + 82 + 85 + 80 + 75)/5 = 80
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Adtiya Aryan
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Passage-Based Questions (Q1–Q3)Passage-Based Questions (Q4–Q6)Standalone Word Problems (Q7–Q10)Answer Key with Explanations
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