TGT PGT LT PCS Maths Quiz 2025: Probability and Statistics

July 30, 2025 by Shekhar

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TGT PGT LT PCS Maths Quiz 2025: Probability and Statistics

Welcome to today’s Maths Quiz 2025 specially designed for aspirants of TGT, PGT, LT Grade, and PCS exams. This quiz covers important objective questions from the topics of Probability and Statistics—commonly asked in last year’s papers and expected in upcoming exams.

Why Practice Probability & Statistics MCQs?

Probability and Statistics are high-scoring topics in competitive exams. With regular practice, you can master these concepts and improve your accuracy and speed. These questions are frequently asked in:

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TGT Maths
PGT Maths
LT Grade (GIC/GDC)
PCS Prelims (Maths Sections)

What’s Inside This Quiz?

Based on previous year papers
Follows exam pattern of UPPSC, UPSESSB & other state boards
Includes Probability, Permutation-Combinations, Mean, Median, Mode, Standard Deviation
One-question-at-a-time format with timer and correct answer revealed after submission
Modern, colorful, mobile-friendly layout

Download PDF After Submission

After completing the quiz, you’ll get an option to download the complete quiz with answer key in PDF format for revision.

Important for:

UP TGT, PGT 2025 Candidates
LT Grade Aspirants (Maths)
PCS Prelims Maths Section
DSSSB, KVS, NVS Maths Candidates
Other State-level competitive exams

Start the Quiz Now and test your knowledge of Probability and Statistics. Improve your performance with every question!

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Related Quizzes:

Calculus – Limits & Derivatives Quiz
Coordinate Geometry MCQ Practice
Trigonometry Full Syllabus Quiz

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TGT Maths Quiz 2025: Probability and Statistics MCQ Practice

TGT Maths Quiz 2025: Probability and Statistics

Practice 30 real MCQs from LT Grade, TGT, PGT, and PCS exams on Probability, Random Variables, and Distributions. Ek question ke liye 60 seconds hain. Submit karne ke baad answers check karein aur PDF download karein!Time Left: 60 seconds

1. Ek bag mein 3 red aur 2 blue balls hain. Ek ball randomly nikali jati hai. Red ball nikalne ki probability kya hai? [Asked in TGT 2016]

a) 3/5 b) 2/5 c) 1/2 d) 1/3

2. Mean of numbers 2, 4, 6, 8, 10 kya hai? [Asked in PGT 2018]

a) 6 b) 5 c) 7 d) 8

3. Variance of data 1, 2, 3, 4, 5 kya hai? [Asked in PCS 2019]

a) 2 b) 3 c) 1 d) 4

4. Ek fair die ko roll kiya jata hai. Even number aane ki probability kya hai? [Asked in LT Grade 2017]

a) 1/2 b) 1/3 c) 2/3 d) 1/6

5. Binomial distribution mein n = 5, p = 0.4 ke liye P(X = 2) kya hai? [Asked in TGT 2019]

a) 0.3456 b) 0.2304 c) 0.1296 d) 0.4320

6. Standard deviation of data 2, 4, 6 kya hai? [Asked in PGT 2020]

a) √2 b) 2 c) √3 d) 3

7. Ek deck se ek card randomly nikala jata hai. Heart nikalne ki probability kya hai? [Asked in PCS 2021]

a) 1/4 b) 1/3 c) 1/2 d) 1/13

8. Mean of Poisson distribution with parameter λ = 3 kya hai? [Asked in LT Grade 2018]

a) 3 b) 2 c) 4 d) 1

9. Ek fair coin 3 baar toss kiya jata hai. Exactly 2 heads aane ki probability kya hai? [Asked in TGT 2015]

a) 3/8 b) 1/4 c) 1/2 d) 1/8

10. Variance of binomial distribution n = 10, p = 0.5 kya hai? [Asked in PGT 2017]

a) 2.5 b) 5 c) 10 d) 1

11. P(A) = 0.4, P(B) = 0.6, aur P(A ∩ B) = 0.2. P(A ∪ B) kya hai? [Asked in PCS 2020]

a) 0.8 b) 0.6 c) 0.4 d) 1

12. Standard deviation of data 1, 1, 1, 1 kya hai? [Asked in LT Grade 2019]

a) 0 b) 1 c) 2 d) 4

13. Ek fair die ko 2 baar roll kiya jata hai. Sum 7 aane ki probability kya hai? [Asked in TGT 2021]

a) 1/6 b) 1/12 c) 1/9 d) 1/4

14. Mean of normal distribution with σ = 2 aur μ = 10 kya hai? [Asked in PGT 2016]

a) 10 b) 2 c) 5 d) 12

15. P(A) = 0.5, P(B|A) = 0.4. P(A ∩ B) kya hai? [Asked in PCS 2018]

a) 0.2 b) 0.4 c) 0.5 d) 0.1

16. Variance of data 2, 3, 4, 5 kya hai? [Asked in LT Grade 2020]

a) 5/4 b) 2 c) 1 d) 3/2

17. Ek bag mein 4 red aur 6 blue balls hain. 2 balls randomly nikali jati hain. Both red hone ki probability kya hai? [Asked in TGT 2018]

a) 2/15 b) 1/15 c) 4/15 d) 1/5

18. Poisson distribution mein λ = 2 ke liye P(X = 0) kya hai? [Asked in PGT 2019]

a) e⁻² b) e⁻¹ c) 1/e d) 2e⁻²

19. Mean of data 5, 5, 5, 5 kya hai? [Asked in PCS 2017]

a) 5 b) 4 c) 6 d) 3

20. Ek fair coin 4 baar toss kiya jata hai. At least 3 heads aane ki probability kya hai? [Asked in LT Grade 2016]

a) 5/16 b) 3/16 c) 1/4 d) 1/8

21. Standard deviation of binomial distribution n = 10, p = 0.2 kya hai? [Asked in TGT 2020]

a) √1.6 b) √2 c) 2 d) 1.6

22. P(A) = 0.3, P(B) = 0.4, aur A, B independent hain. P(A ∩ B) kya hai? [Asked in PGT 2021]

a) 0.12 b) 0.7 c) 0.5 d) 0.3

23. Variance of uniform distribution over [0, 1] kya hai? [Asked in PCS 2016]

a) 1/12 b) 1/6 c) 1/3 d) 1/2

24. Ek fair die ko roll kiya jata hai. Number > 4 aane ki probability kya hai? [Asked in LT Grade 2021]

a) 1/3 b) 1/2 c) 2/3 d) 1/6

25. Mean of data 10, 20, 30, 40 kya hai? [Asked in TGT 2017]

a) 25 b) 20 c) 30 d) 15

26. Binomial distribution n = 4, p = 0.5 ke liye P(X ≥ 2) kya hai? [Asked in PGT 2015]

a) 11/16 b) 5/16 c) 1/2 d) 3/8

27. Ek bag mein 5 balls hain, 2 red aur 3 blue. Ek red ball nikalne ke baad wapas nahi rakha jata. Dusri red ball nikalne ki probability kya hai? [Asked in PCS 2015]

a) 1/4 b) 1/3 c) 2/5 d) 1/2

28. Standard deviation of data 3, 3, 3 kya hai? [Asked in LT Grade 2015]

a) 0 b) 1 c) 2 d) 3

29. P(A) = 0.7, P(B) = 0.5, aur P(A ∩ B) = 0.3. P(A|B) kya hai? [Asked in TGT 2016]

a) 0.6 b) 0.5 c) 0.4 d) 0.7

30. Poisson distribution mein λ = 4 ke liye P(X = 1) kya hai? [Asked in PGT 2020]

a) 4e⁻⁴ b) e⁻⁴ c) 2e⁻⁴ d) 3e⁻⁴

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TGT PGT Maths Quiz 2025, LT Grade Maths Quiz, Probability Questions for PCS, Statistics MCQs for Competitive Exams, UP TGT Maths Practice, PGT Maths Paper 2025, LT Grade Previous Year Questions, Maths Objective Quiz 2025

Shekhar

लेखक परिचय – चंद्रशेखर
मैं चंद्र शेखर, एक प्रशिक्षित और समर्पित गणित शिक्षक हूं। मैं MadhyamikPariksha.com का संस्थापक हूं। मेरा उद्देश्य छात्रों को सही, सरल और भरोसेमंद शैक्षिक सामग्री उपलब्ध कराना है।

मेरी शैक्षणिक योग्यता इस प्रकार है:

🎓 M.Sc (गणित)
📘 B.Ed
🔬 B.Sc (PCM)
✅ TGT Qualified (Maths) – 2016
📝 UP TET Qualified

मुझे गणित पढ़ाने का 7 वर्षों का अनुभव है। मैंने हजारों छात्रों को बोर्ड परीक्षाओं और प्रतियोगी परीक्षाओं की तैयारी में मार्गदर्शन दिया है। मेरी खासियत है – गणित को आसान भाषा और रोचक तरीके से समझाना।
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MadhyamikPariksha.com एक निजी शैक्षिक पोर्टल है, जहाँ छात्र हिंदी माध्यम में पढ़ाई से जुड़ी उपयोगी सामग्री पा सकते हैं। यहां उपलब्ध हैं:

माध्यमिक और उच्च माध्यमिक परीक्षाओं की तैयारी सामग्री
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स्पष्टीकरण: यह वेबसाइट सरकारी पोर्टल नहीं है। इसका किसी भी सरकारी विभाग, बोर्ड या संस्था से कोई संबंध नहीं है। यह एक निजी प्रयास है, जिसका मकसद छात्रों को मदद पहुंचाना है।
हमारा उद्देश्य
हमारा लक्ष्य है कि हर छात्र को पढ़ाई में मार्गदर्शन मिले, चाहे वह बोर्ड परीक्षा की तैयारी कर रहा हो या प्रतियोगी परीक्षा की। हम विषयों को आसान भाषा में, बिना डर के समझाने में यकीन रखते हैं।

अगर आपको कोई सुझाव या प्रश्न हो, तो आप संपर्क करें पेज के माध्यम से मुझसे जुड़ सकते हैं।
चंद्रशेखर
(M.Sc Maths, B. Sc, B.Ed, TGT Qualified 2016, UPTET Qualified)

Spread the love

TGT PGT LT PCS Maths Quiz 2025: Probability and Statistics

Why Practice Probability & Statistics MCQs?

What’s Inside This Quiz?

Download PDF After Submission

Important for:

TGT Maths Quiz 2025: Probability and Statistics

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