Mathematics questions
18011 published questions with worked solutions.
- The sum of the integers from 1 to 100 which are divisible by 3 and 5, is
- Let T_r be r^ th term of an AP whose first term is a and common difference is d. If for some positive integers m,n, m n, T_m= 1n...
- If a_1,a_2,a_3,a_4,a_5 and a_6 are six arithmetic means between 3 and 31, then a_6-a_5 and a_1+a_6 respectively equals
- The arithmetic mean of first n odd natural number is
- Let f(x) be a polynomial function of second degree. If f(1)=f(-1) and a,b,c are in AP, then f'(a),f'(b) and f'(c) are in
- If a_1,a_2,a_3, ,a_n are the n arithmetic means between a and b, then 2 _ i=1 ^na_i equals
- If a^2,b^2,c^2 are in AP, then which of the following is also an AP?
- If 5+9+13+ +n terms 7+9+11+ +12 terms = 5 12 , then n is equal to
- If the arithmetic mean of a and b is a^n+b^n a^ n-1 +b^ n-1 , then the value of n is
- If S_n=nP+ 12n(n-1)Q, where S_n denotes the sum of the first n terms of an AP, then the common difference is
- The sum of all two digit natural numbers which leave a remainder 5 when divided by 7 is equal to
- If the first, second and last terms of an arithmetic series are a,b and c respectively, then the number of terms is
- The sum of n terms of two arithmetic series are in the ratio 2n+3:6n+5, then the ratio of their 13^ th terms is
- If 23,k, 58 are in AP, then value of k is
- In an arithmetic progression, the 24^ th term is 100. Then, the sum of the first 47 terms of the arithmetic progression is
- Let a,b,c be in AP. If 0<a,b,c<1, x= _ n=0 ^ a^n, y= _ n=0 ^ b^n and z= _ n=0 ^ c^n, then
- If a_1,a_2,a_3, ,a_n be an AP of non-zero terms, then 1 a_1a_2 + 1 a_2a_3 + + 1 a_ n-1 a_n is equal to
- If a b+c , b c+a , c a+b are in AP, then
- If the sum of 12^ th and 22^ nd terms of an AP is 100, then the sum of the first 33 terms of the AP is
- Three numbers are in AP such that their sum is 18 and sum of their squares is 158. The greatest number among them is