Find the value of (1.19̄)^2 + 2 × 1.19̄ × 1.79̄ + (1.79̄)^2:
9
The expression is a perfect square: (1.19̄ + 1.79̄)^2. Since 1.1\overline{9} = 1.2 and 1.7\overline{9} = 1.8 (repeating 9 rounds up), the sum is 1.2 + 1.8 = 3, and 3^2 = 9.
Consider the following statements :
1. (25)! + 1 is divisible by 26
2. (6)! + 1 is divisible by 7
Which of the above statements is/are correct ?
If the sum S is divided by 8, what is the remainder ?
If the sum S is divided by 60, what is the remainder ?
Find the sum of squares of the greatest value and the smallest value of K in the number so that the number 45082K is divisible by 3.
How many composite numbers are there from 53 to 97 ?