Welcome to Gonit Puja (গণিত পূজা) — your destination for Higher Mathematics & Advanced Problem Solving.
🎯 Main Focus: • West Bengal SLST PGT Mathematics • Higher & Advanced Mathematics • Honours & Postgraduate Mathematics • MCQs, Mock Tests & Exam-Oriented Practice • Conceptual Problem Solving & Shortcuts
📚 Topics Covered: Classical Algebra, Modern Algebra, Group Theory, Linear Algebra, Calculus, Differential Equations, Geometry, Vector Algebra, Analytical Dynamics, Probability & Statistics, Numerical Methods, Linear Programming and more.
🎓 For: ✔ WB SLST PGT Mathematics Aspirants ✔ Higher Mathematics Students ✔ Honours & PG Students ✔ Mathematics Competitive Exam Aspirants
🧠 Our Approach: ✔ Clear Explanation ✔ Step-by-Step Solutions ✔ Advanced Problems & MCQs ✔ Bengali Explanation with English Mathematical Terms ✔ Exam-Oriented Prep
💡 Understand Concepts. Solve Problems. Master Mathematics.
🔔 Subscribe to Gonit Puja for regular videos.
📩 Contact: dipankarkundu04031994@gmail.com
Gonit Puja | গণিত পূজা
Q10. Let f(x) = x² on the interval [1, 3]. The value of c satisfying Lagrange’s Mean Value Theorem is:
(A) 1
(B) 2
(C) 3
(D) 4
2 days ago |[YT] | 0
View 0 replies
Gonit Puja | গণিত পূজা
Q9. The Bolzano–Weierstrass theorem states that:
(A) Every bounded sequence in R has a convergent subsequence
(B) Every unbounded sequence in R is convergent
(C) Every convergent sequence is unbounded
(D) Every sequence in R is monotonic
2 days ago |[YT] | 0
View 0 replies
Gonit Puja | গণিত পূজা
Q8. Which of the following sets is countable?
(A) The set of all real numbers
(B) The set of irrational numbers in (0, 1)
(C) The set of integers Z
(D) The interval (0, 1)
2 days ago |[YT] | 0
View 0 replies
Gonit Puja | গণিত পূজা
Q7. According to the Heine–Borel theorem, a subset of R is compact if and only if it is:
(A) Open and bounded
(B) Closed and bounded
(C) Open and closed
(D) Closed and unbounded
2 days ago |[YT] | 0
View 0 replies
Gonit Puja | গণিত পূজা
Q6. Which of the following statements is true?
(A) Every continuous function on an open interval is uniformly continuous
(B) Every differentiable function on R is bounded
(C) Every continuous function on a compact interval [a, b] is uniformly continuous
(D) Every bounded function is continuous
2 days ago |[YT] | 0
View 0 replies
Gonit Puja | গণিত পূজা
Q5. Consider the function f(x) = |x| on R. At x = 0, the function is:
(A) Continuous and differentiable
(B) Continuous but not differentiable
(C) Discontinuous but differentiable
(D) Neither continuous nor differentiable
2 days ago |[YT] | 0
View 0 replies
Gonit Puja | গণিত পূজা
Q4. The series
Σₙ₌₁∞ (−1)ⁿ⁺¹/n
is:
(A) Absolutely convergent
(B) Conditionally convergent
(C) Divergent
(D) A finite sum
2 days ago |[YT] | 0
View 0 replies
Gonit Puja | গণিত পূজা
Q3. The sequence aₙ = (−1)ⁿ/n has the limit:
(A) 1
(B) −1
(C) 0
(D) The sequence is divergent
2 days ago |[YT] | 0
View 0 replies
Gonit Puja | গণিত পূজা
Q2. Let (aₙ) be a monotonically increasing sequence of real numbers that is bounded above. Then:
(A) (aₙ) is divergent
(B) (aₙ) is convergent
(C) (aₙ) is necessarily periodic
(D) (aₙ) is unbounded
2 days ago |[YT] | 0
View 0 replies
Gonit Puja | গণিত পূজা
Q1. Evaluate the following limit:
lim(n→∞) [√(n² + 4n) − n]
(A) 1
(B) 2
(C) 4
(D) 0
2 days ago |[YT] | 0
View 0 replies
Load more