Prove that in a sequence of numbers 49,4489,444889,44448889 in which every number is made by inserting 48-48 in the middle of previous as indicated, each number is the square of an integer.

Find the number of integers n for which (n)/(20-n) is the square of an integer.

Find the LCM of the following numbers in which one number is the factor of the other. 8,48

If the three numbers in the ratio 3:2:5 be such that the sum of the squares is equal to 1862 then which number is the middle one .

There is a certain sequence of positive real numbers. Beginning from the third term, each term of the sequence is the sum of all the previous terms. The seventh term is equal to 1000 and the first term is equal to 1 . The second term of this sequence is equal to

Three digit numbers in which the middle one is a perfect square are formed using the digits 1 to 9 Their sum is

The average of five numbers is 49. The average of the first and the second numbers is 48 and the fourth and fifth numbers is 28. What is the third number ?

The sum of two positive numbers is 48. The numbers so that the sum of their squares is a minimum are

Find the smallest square number that is divisible by each of the numbers 4,9 and 10.