Mathematics questions
18011 published questions with worked solutions.
- The sum of 10 terms of the series 2+ 6+ 18 + is
- The sum of all two digit numbers which, when divided by 4, yield unity as a remainder is
- The sum of (x+2)^ n-1 +(x+2)^ n-2 (x+1)+(x+2)^ n-3 (x+1)^2+ +(x+1)^ n-1 is equal to
- The sum of 100 terms of the series 0.9+0.09+0.009 will be
- The harmonic mean of two numbers is 4 and the arithmetic and geometric means satisfy the relation 2A+G^2=27, the numbers are
- If x,1,z are in AP and x,2,z are in GP, then x,4,z will be in
- If a_1,a_2,a_3 ,a_ 20 are AM's between 13 and 67, then the maximum value of a_1a_2a_3 a_ 20 is equal to
- If 1+ + ^2 + =2- 2, , (0< < ) is
- Consider the sequence of numbers 121,12321,1234321, Each term in the sequence is
- In the four numbers first three are in GP and last three are in AP whose common difference is 6. If the first and last numbers...
- Statement 1: The sum of n terms of two arithmetic progressions are in the ratio (7n+1):(4n+17), then the ratio of their n^ th...
- Number of positive integral ordered pairs of (a,b) such that 6,a,b are in harmonic progression is
- The value of _ n=0 ^ 2n+3 3^n is equal to
- If the roots of 10x^3-nx^2-54x-27=0 are in harmonic progression, then 'n' equals
- Let sum of first three terms of G.P. with real terms is 13 12 and their product is -1. If the absolute value of the sum of their...
- Let a_n=16,4,1, be a geometric sequence. Define P_n as the product of the first n terms. Then the value of 14 _ n=1 ^ [n] P_n is
- Let a,b,c,d be four distinct real numbers in A.P. Then half of the smallest positive value of k satisfying...
- Let a_1,a_2,a_3, a_ 101 are in G.P. with a_ 101 =25 and _ i=1 ^ 201 a_i=625. Then the value of _ i=1 ^ 201 1 a_i equals
- Given a,b,c are in A.P., b,c,d are in G.P. and c,d,e are in H.P. If a=2 and e=18, then the sum of all possible value of 'c' is
- The terms a_1,a_2,a_3 form an arithmetic sequence whose sum is 18. The terms a_1+1,a_2,a_3+2, in that order, form a geometric...