Mathematics questions
18011 published questions with worked solutions.
- The length of a side of a square is "a" metre. A second square is formed by joining the middle points of this square. Then a...
- _32, _62 _ 12 2 are in
- Let the harmonic mean and the geometric mean of two numbers be in the ratio 4:5. The two numbers are in the ratio
- If a_n is an arithmetic sequence, then = vmatrix a_m&a_n&a_p &n&p 1&1&1 vmatrix
- The sum of the series 1 1+ 2 + 1 2+ 3 + 1 3+ 4 + + 1 n^2-1 + n^2 equals
- The fourth, seventh and tenth terms of a G.P. are p,q and r respectively, then
- If S denotes the sum to infinity and S_n the sum of n terms of the series 1+ 12+ 14+ 18+ , such that S-S_n< 1 1000 , then the...
- If d,e,f are in G.P. and the two quadratic equations ax^2+2bx+c=0 and dx^2+2ex+f=0 have a common root, then
- If the sum of the series 2,5,8,11, is 60100, then n, the number of terms, is
- After inserting n A.Ms between 2 and 38, the sum of the resulting progression is 200. The value of n is
- The cubes of the natural numbers are grouped as 1^3, (2^3,3^3 ), (4^3,5^3,6^3 ), , then the sum of the numbers in the n^ th group...
- The sum of 11 terms of an A.P. whose middle term is 30, is
- The sum of the series 1+ 1+a 2! + 1+a+a^2 3! + 1+a+a^2+a^3 4! + , is
- The coefficients of x^6 in the expansion of (1+x)^ 1+x (1-x)^ 1-x , is
- e^ x-1- 12(x-1)^2+ 13(x-1)^3- 14(x-1)^4+ is equal to
- _ n=0 ^ ( _ex)^n n! is equal to
- The sum of the series 1^2 2^2 1! + 2^2 3^2 2! + 3^2 4^2 3! + , is
- The coefficient of x^n in the expansion of (1+ x^2 2! + x^4 4! + )^2, when n is odd, is
- The value of _3e- _9e+ _ 27 e- _ 81 e+ ad. inf., is
- The sum of the series 41!+ 11 2! + 22 3! + 37 4! + 56 5! + , is