Question
A number when divided by 45 leaves a remainder 21. What
will be the remainder when the square of the same number is divided by 45?Solution
Let the number be N. Then, N ≡ 21 (mod 45). We are asked to find the remainder when N² is divided by 45. N² ≡ 21² (mod 45). 21² = 441. Now, divide 441 by 45: 441 ÷ 45 = 9 remainder 36. Therefore, the remainder when the square of the number is divided by 45 is 36.
More Divisibility rules Questions
√323.89  × (3.20) ÷ 9.02 =?
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)
23.98% of 624.99 = 19.98% of ? + 14.98% of 639.99
Direction: Please solve the following expression and choose the closest option
What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)...
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)
12, 16, ?, 36, 52, 72Â
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)
(6859.01)1/3  × 10.11 × 14.47 ÷ 20.32 = ? + 45.022
33.33% of 809.891 + 66.66% of 212.91 = ?
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