Gaurang Tandon

### Questions (137)

 66 Do there exist pairs of distinct real numbers whose arithmetic, geometric and harmonic means are all integers? 39 Show that a generalized knight can return to its original position only after an even number of moves 16 Interesting negative decimal number notation 13 Counting number of students who have failed in all four subjects 11 Proving the area is irrational for triangle with integer vertices

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 9 Finding $\int_{-2}^8xf(x)dx$ given $\int_{-2}^8f(x)dx$ 8 How to calculate the nth term and the sum in this series if the common difference between them isn't explicit? 6 Number of ways of filling $n \times n$ binary matrix 6 What is the area bounded by $y=x^2-1$ & $y=kx$? 6 $p(x) = x^3 + 2x^2 + kx − 2$ zeroes at $a$, $\frac{1}{a}$ and $b$ for what value of k?

### Tags (117)

 29 calculus × 21 13 limits × 7 19 algebra-precalculus × 40 12 integration × 7 15 geometry × 34 9 inequality × 17 15 combinatorics × 13 9 definite-integrals × 2 14 sequences-and-series × 9 7 trigonometry × 11

### Bookmarks (79)

 201 How to check if a point is inside a rectangle? 184 Can a coin with an unknown bias be treated as fair? 82 Polynomials such that roots=coefficients 71 Expected Number of Coin Tosses to Get Five Consecutive Heads 70 Hanging a picture on the wall using two nails in such a way that removing any nail makes the picture fall down