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.
From time immemorial, spiritual seeker have wrestling in gain control over the mind that is necessary for realisation, but which easily resists h...
- In the questions given below, a part of the sentence is given in bold . Below each sentence, some phrases are given which can substitute the bold part. Ide...
- In the questions given below, a part of the sentence is given in bold . Below each sentence, some phrases are given which can substitute the bold part. Ide...
The company intending in grab as large a slice of the Chinese market as possible.
- The findings revealed a striking pattern: in mountain ranges where Oecophylla ants were present on the base , insect-eating bird species diversity peaked a...
The potential of India’s district hospital system to dramatically expansion accessing for quality secondary and tertiary health care has ne...
Substitute the bold words with the best option to improve the sentence.
It depends whether if the applicant performs well in the interview.
...It's a tempting offer, but I'm afraid I'm going to have to place a rain check on that one.
She took the square tins and cut out some square (cakes) for the little boys.
The core message is that the moments that embarrass is the ones that define us.
Relevant for Exams:
