Sum of Consecutive Numbers
Trending Questions
Q. When the natural numbers 1, 2, 3, ..., 500 are written, then the digit 3 is used n times in this way. The value of n is:
- 100
- 200
- 300
- 280
Q. A triangular number is defined as a number which has the property of being expressed as a sum of consecutive natural numbers starting with 1. How many triangular numbers less than 1000, have the property that they are the difference of squares of two consecutive natural numbers?
- 21
- 20
- 22
- 23
Q. Chandrabhal adds first N natural numbers and finds the sum to be 1850. However, actually one number was added twice by mistake. Find the difference between N and that number.
- 40
- 33
- 60
- 17
Q. A student of 5th standard writing down the counting numbers as 1, 2, 3, 4, ... and then he added all those numbers and got the result 500. But when I checked the result I have found that he had missed a number. What is the missing number?
- 25
- 32
- 30
- 28
Q. If 1+2+3+⋯+k=N2 and N is less than 100, then the value of k can be (where N ∈ Natural numbers)
- 8 and 36
- both (a) and (b)
- 8
- 1 and 49
Q. The integers 1, 2, . . ., 40 are written on a black board. The following operation is then repeated 39 times: In each repetition, any two numbers, say a and b, currently on the blackboard are erased, and a new number a + b - 1 is written. What will be the number left on the board at the ends?
- 820
- 821
- 781
- 780
Q. Find the 28383rd digit: 123456789101112....
- 3
- 4
- 9
- 7
Q. Define a number K such that it is the sum of the squares of the first M natural numbers. (i.e. K=12+22+……+M2) where M < 55. How many values of M exist such that K is divisible by 4?
- 12
- None of these
- 10
- 11
Q. A person starts typing the numebrs from 1 to 1999. He press the keys total 'n' number of times. The value of n is:
- 6889
- 2888
- None of these
- 1000
Q. All the soldiers are arranged in the form of an equilateral triangle i.e., one soldier in the front and 2 soldiers in the second row and 3 soldiers in the third row, 4 soldiers in the fourth row and so on. If 669 more soldiers of another company are added in such a way that all the soldiers now are in the form of a square and each of the sides then contains 8 soldiers less than each side of the equilateral triangle. Initially, how many soldiers were there?
- 1220
- 2056
- 1540
- 1400