What is the value of 1² + 3² + 5² + 7² + 9² ................ 19²?

Sum of the squares of odd number = (n(n+1)(n+2))/6 Where n = Last term = (19×20×21)/6 = 1330

- Sum of squares of three consecutive numbers is 677. Find the sum of first and third number.
- The difference between the value of the number increased by 20% and the value of the number decreased by 30% is 120. Find the number.
- A and B have 6 and 7 pieces of bread respectively. They share their food with C, who pays them Rs 42 for the received breads. If each of them has equal breads, provided that no bread is broken or wasted, find B’s share of the income from C.
- a, b and c are three integers. The sum of a and b is 61. If b is divided by a then the quotient is 2 and the remainder is 7. If c
^{n}- 2 is largest negative integer. Then which of the following values definitely lie within (c^{n}- n + a) and (b - a). - Let p be a prime number. Then √p is:
- In a two digit positive number, the digit in the unit’s place is equal to the square of the digit in ten’s place, and the difference between the number and the number obtained by interchanging the digits is 54. What is 60% of the original number?
- find the value of 5+55+55+555+…………..+ n terms
- If a number is decreased by 8 and divided by 12, the result is 16. What would be the result if 10 is subtracted from the number and then it is divided by 5.
- The sum of three consecutive natural numbers each divisible by 5, is 255. The largest among them is:
- There are 3 natural numbers. If the average of any 2 numbers is added with the third number 34, 30 and 28 will be obtained. Find the numbers.

More No. System Questions

×

×