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Sectional Test on Numbers and Number Systems I
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Question 1
The smallest perfect square that is divisible by 7!
Question 2
Find the sum of factors of 22200
Question 3
Z is the product of first 31 natural numbers. If X = Z + 1, then the numbers of primes among X + 1, X + 2, …, X + 29, X + 30 is
Question 4
Find the sum of number of factors and number of odd factors for number 2223936000?
Question 5
Let n (>1) be a composite integer such that √n is not an integer. Consider the following statements
A: n has a perfect integer – valued divisor which is greater than 1 and less than √n.
B: n has a perfect integer – valued divisor which is greater than √n but less than n.
Then,
A: n has a perfect integer – valued divisor which is greater than 1 and less than √n.
B: n has a perfect integer – valued divisor which is greater than √n but less than n.
Then,
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