# Sum of Consecutive Numbers

## Trending Questions

**Q.**

How many times will the digit `7' be written when writing the integers from 1 to 1000?

300

190

210

None of these

100

**Q.**What number comes next in the series?

7, 9, 13, 21, 37, ?

- 58
- 63
- 69
- 72

**Q.**The sum of four consecutive two-digit odd numbers, when divided by 10, becomes a perfect square. Which of the following can possibly be one of these four members?

- 41
- 67
- 21
- 25

**Q.**

One score is equal to ______ entities.

**Q.**

For a set of 5 true-or-false questions, no student has written all the correct answers, and no 2 students have given the same sequence of answers. What is the maximum number of students in the class, for this to be possible?

- None of these
- 31
- 21
- 51
- 41

**Q.**There are 8436 steel balls, each with a radius of 1cm, stacked in a pile, with 1 ball on top, 3 balls in the second layer, 6 in the third layer, 10 in the fourth layer and so on. The number of horizontal layers in the pile is

**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.**

S=1002−992+982−972+........................+22−12; what is the value of S?

5050

5024

5000

2020

**Q.**Find the 28383rd digit: 123456789101112....

- 3
- 4
- 9
- 7

**Q.**

The square root of (7+3√5)(7−3√5) is :

4

3 (5)

^{(1/2)}1

(5)

^{(1/2)}2

**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.**Insert the missing number:

5, 8, 12, 17, 23,

- None of the above
- 29
- 30
- 32
- 25

**Q.**A number of saplings are lying at a place by the side of a straight road. These are to be planted in a straight line at a distance interval of 10 meters between two consecutive saplings. Mithilesh, the country's greatest forester, can carry only one sapling at a time and has to move back to the original point to get the next sapling. In this manner, he covers a total distance of 1.32 kms. How many saplings does he plant in the process if he ends at the starting point?

- 13
- 14
- 11
- 12

**Q.**

Fill in the missing number:

5, 18, 10, 12, 15, ?

- None of the above
- 4
- 8
- 6
- 10

**Q.**

What should come in place of the question mark (?) in the following number series?

4, 6, 12, 30, 90, 315, ?

- 1102
- 1260
- 1417.5
- None of these
- 945

**Q.**(1), (2, 3), (4, 5, 6), (7, 8, 9, 10)…..

Sum of the numbers in the 50th bracket is

**Q.**The next number in the sequence is – 1458, 486, 162, 54, 18, _____________.

**Q.**If then, r cannot take any value except :(CAT 2004)

- -1
- ½ or -1
- -1/2 or -1

**Q.**

The sale of lipsticks in 2000 was by what percent more than the sales of nail enamels in 2000? (Rounded off to nearest integer)

none of these

26%

27%

28%

29%

**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.**Find the value of x in the series 2, 6, 30, 210, x, 30030, ...

- 2310
- 1890
- 2520
- 2730
- None of the above

**Q.**27 13 12 16.5 ? 75

- 30.5
- 31.5
- 39.5
- None of these
- 37.5

**Q.**Show that p*2 will leave reminder 1 when divided by 8 if p is an odd positive integer

**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.**7 20 46 98 202 ?

- 420
- 410
- 310
- 320
- None of these

**Q.**

The square root of a natural number is equal to K times its cube root. The number must be

K

K

k

K

**Q.**

In each of the questions below, a number series has been given followed by five alternatives. One term of the given number series is wrong. Find out the wrong term and spot a number from the alternatives which will replace the wrong term of the series.

7, 14, 56, 168, 336, 1344, 2688, 8064

- 2680
- 332
- 3032
- 5032
- 4032

**Q.**How many different numbers of 2-digits can be formed with the digits 1, 2, 3, 4, 5, 6; no digits being repeated?

- None of these
- 45
- 40
- 30
- 35

**Q.**In a football team, 12 players are divided into three groups of 4 each and are given different jersey numbers numbering from 1 to 12 in such a way that the sum of the jersey numbers of each of the three groups is same. Find the sum of jersey numbers of each group.

- 26
- 34
- 78
- can’t be determined

**Q.**For a triangle whose sides are 50 m, 78 m and 112 m, respectively, then the length of the perpendicular from the opposite angle on the side 112 m is _____.

- 45 m
- 30 m
- 95 m
- 35 m
- None of these