Following quiz provides Multiple Choice Questions (MCQs) related to Number System. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.
45 = 5 x 9 So, co-primes are 5 and 9 For divisibility, the unit digits must be 0 or 5 and sum of digits must be divisible by 9. The unit digit of 2025 is 5 and sum of digits is divisible by 9 Therefore, 2025 is completely divisible by 45.
Q 4 - It is being given that (232) + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?
Let 232 = p -> (232 + 1) = p + 1 Let (p + 1) be completely divisible by natural number Z. Then-> (296 + 1) = [(232)3 + 1] As (p3 + 1) = (p + 1)(p2 - p + 1), which is completely divisible by Z, since (p + 1) is completely divisible by Z.
a = 6, d = 9, l = 123 Let number of terms be n 123 = a + (n - 1)d 123 = 6 + (n - 1)9 123 = 9n - 9 n = 14 Sn = n⁄2 (a + l) = 14⁄2 (6 + 123) = 7 x 129 = 903
795 = (74)23 x 73 So Unit digit in 795 = Unit digit in 1 x 343 = 3 358 = (34)14 x 32 So Unit digit in 358 = Unit digit in 1 x 9 = 9 So Unit digit in 795 - 358 = Unit digit in 13 - 9 = 4.
