Mathematics questions
18011 published questions with worked solutions.
- If the ratio of the sum of n term of two AP's be (7n+1):(4n+27), then the ratio of their 11^ th term will be
- _ r=0 ^n (-1)^r ^nC_r equals
- If positive numbers a^ -1 ,b^ -1 ,c^ -1 are in AP, then the product of roots of the equation x^2-kx+2b^ 101 -a^ 101 -c^ 101 =0,...
- Number of values of x for which [x], sgn x, x (x 0) are in AP, is
- If a_1,a_2,a_3, ,a_ 24 are in arithmetic progression, a_1+a_5+a_ 10 +a_ 15 +a_ 20 +a_ 24 =225, then a_1+a_2+a_3+ +a_ 23 +a_ 24 is...
- The n^ th term of the series 1^3 1+ 1^3+2^3 1+3 + 1^3+2^3+3^3 1+3+5 + will be
- If the sum of an infinite GP and the sum of square of its term is 3, then the common ratio of the first series is
- Let S_1,S_2, be squares such that for each n 1, the length of a side of S_n equals the length of a diagonal of S_ n+1 . If the...
- The sum of the series 1 2 3+2 3 4+3 4 5+ to n terms is
- The sum of the series 1 n+2 (n-1)+3 (n-2)+ +n 1 is
- If 2, (2^n-1 ) and (2^n+3 ) are in AP, then n is equal to
- , are the roots of the equation x^2-3x+a=0. , are the roots of x^2-12x+b=0. If , , , form an increasing GP, then (a,b) is equal to
- The sum of the series 5.05+1.212+0.29088+ is
- Let T_r be the r^ th term of an AP for r=1,2,3, If for some positive integers m,n, we have T_m= 1n and T_n= 1m, then T_ mn equals
- If the sum of n terms of a AP is nA+n^2B, where A and B are constants, then its common difference will be
- If the ratio of AM between two positive real numbers a and b to their HM is m:n, then a:b is equal to
- Let a_1,a_2, ,a_ 10 be in AP and h_1,h_2, ,h_ 10 be in HP. If a_1=h_1=2 and a_ 10 =h_ 10 =3 then a_4h_7 is
- 1+ 32+ 5 2^2 + 7 2^3 + is equal to
- Consider the following statements: 1. If m^ th term of HP is n and the n^ th term is m, then the (mn)^ th term is 1. 2. If a,b,c...
- The solution of the equation (x+1)+(x+4)+(x+7)+ +(x+28)=155 is