Mathematics questions
18011 published questions with worked solutions.
- The value of the sum _ r=1 ^n _ s=1 ^nS_ rs 2^r3^s, where S_ rs =0, if r s and S_ rs =1, if r=s, is
- Number of identical terms in the sequence 2,5,8,11, upto 100 terms and 3,5,7,9,11, upto 100 terms are
- If p,q,r are in AP and are positive, the roots of the quadratic equation px^2+qx+r=0 are all real for
- A GP consists of an even number of terms. If the sum of all the terms is 5 times the sum of the terms occupying odd places, then...
- The sum of the series 1 3 7 + 1 7 11 + 1 11 15 + is
- Statement 1: If sum of n terms of a series is 6n^2+3n+1 then the series is in AP. Statement 2: Sum of n terms of an AP is always...
- If n_1,n_2,n_3, ,n_ 100 are positive real numbers such that n_1+n_2+n_3+ +n_ 100 =20 and k=n_1 (n_2+n_3+n_4 ) (n_5+n_6+ +n_9 )...
- Let a_n be n^ th term of the GP of positive numbers. Let _ n=1 ^ 100 a_ 2n = and _ n=1 ^ 100 a_ 2n-1 = , such that , then the...
- If a_1,a_2, ,a_n are in AP with common difference d, then the sum of the series d ( cosec a_1 cosec a_2+ cosec a_2 cosec a_3+ +...
- If the sides of a right angled triangle are in AP, then the sides are proportional to
- Let the sequence a_1,a_2,a_3, ,a_ 2n form an AP, then a_1^2-a_2^2+a_3^2- -a_ 2n ^2 is equal to
- If a,b,c be in GP, then a^n, b^n, c^n will be
- 150 workers were engaged to finish a piece of work in a certain number of days. 4 workers dropped the second day, 4 more workers...
- Consider the following statements: 1+3+5+ upto n terms =n^2 (Statement 1); 2+4+6+ upto n terms =n^2+1 (Statement 2). Which of the...
- The GM of roots of the equation x^2-18x+9=0 is
- 0.14189189 can be expressed as a rational number
- If the sum of two extreme numbers of an AP with four terms is 8 and product of remaining two middle terms is 15, then greatest...
- 2^ +2^ is greater than
- If _ax, _bx, _cx be in HP, then a,b,c are in
- The value of a^ _bx , where a=0.2, b= 5, x= 14+ 18+ 1 16 + , is