Mathematics questions
18011 published questions with worked solutions.
- An AP consists of 23 terms. If the sum of the three terms in the middle is 141 and the sum of the last three terms is 261, then...
- The arithmetic mean of 7 consecutive integers starting with a is m. Then, the arithmetic mean of 11 consecutive integers starting...
- If a_1,a_2, ,a_n are in AP with common difference d 0, then ( d) [ a_1 a_2+ a_2 a_3+ + a_ n-1 a_n ] is equal to
- If p^ th term of an arithmetic progression is q and the q^ th term is p, then 10^ th term is
- 7^ th term of an AP is 40. Then, the sum of first 13 terms is
- The sum of the first and third term of an arithmetic series is 12 and the product of first and second term is 24, then first term...
- In an AP the sum of any two terms, such that the distance of one of them from the beginning is same as that of the other from the...
- A person is to count 4500 currency notes. Let a_n denote the number of notes he counts in the n^ th minute. If a_1=a_2= =a_ 10...
- If sum of n terms of an AP is 2n+3n^2, then r^ th term is
- If x,y,z are in AP, then 1 x+ y , 1 z+ x , 1 y+ z are in
- If three positive real numbers a,b,c are in AP and abc=4, then the minimum possible value of b is
- A student read common difference of an AP as -3 instead of 3 and obtained the sum of first 10 terms as -30. Then, the actual sum...
- If a_1,a_2, a_n are in arithmetic progression, where a_1>0 for all i. Then, 1 a_1 + a_2 + 1 a_2 + a_3 + + 1 a_ n-1 + a_n is equal...
- If the sum to first n terms of the AP 2,4,6, is 240, then the value of n is
- Let a_1,a_2,a_3, be terms of an AP. If a_1+a_2+ +a_p a_1+a_2+ +a_q = p^2 q^2 , p q, then a_6 a_ 21 equals
- If a,b and c are in AP, then which one of the following is not true?
- If the sum of first n terms of an AP is cn^2, then the sum of squares of these n terms is
- If an infinite geometric series the first term is a and common ratio is r. If the sum of the series is 4 and the second term is...
- In a geometric progression (GP) the ratio of the sum of the first three terms and first six terms is 125:152, the common ratio is
- If x,2x+2,3x+3, are in GP, then the fourth term is