Find unit digit of 1^{41}+2^{41}+3^{41}+…….99^{41}?

1^{41}+2^{41}+3^{41}+…….99^{41} ^{ }When 41 is divided by 4 remainder is 1. 1^{1}+2^{1}+3^{1}+4^{1}……………99^{1} That means 1+2+3+4….99, which is sum of natural number from 1 to 99. Apply sum of natural number formulae n(n+1)/2 N=99 put and solve we gives unit digit 0. Option1.

- Find the value of 6 + 66 + 666 + 6666 +hellip;hellip;hellip;hellip;.. + n terms. 1. `(2)/(3) ((10 xx (10^(n)- 1))/9 - n)` 2. `(2)/(3) ((10 xx (10^(n)- 1))/9 )` ` ` 3. `(2)/(3) ((10 xx (10^(n) + 1))/9 )` ` ` 4. `(2)/(3) ((10 xx (10^(n)- 1))/9 + n )`
- What is least number which when successively divided by 5, 3 and 4 leaves a remainder 4, 2 and 3 respectively?
- Least number which when added to 6460 so that it is divisible by 43.
- Out of four numbers the average of the first three is 16 and that of the last three is 15. If the last number is 20 then the first number is
- Least number which when multiplied to 325 gives a perfect square:
- What is the remainder when 14
^{27}is divided by 13? - The sides of a right angled triangle is 6, 8 and 10cm. Another triangle is formed by joining the mid points of all the sides of the triangle and in the same process infinite number of triangles is being formed, and then find the sum of areas of all such infinite number of triangles?
- In a group of three numbers first is double of second and half of third. The average of three numbers is 56. Find the difference between the first number and third number?
- Arvind's age after 19 years will be 67 years. Ravi is 4 years older than Arvind. The ratio of present ages of Samar and Ravi is 9:13. Find the age of Samar 13 years ago?
- One-fourth of a number is 70. What will 40% of that number?

More No. System Questions

×