10 Question MCQ (including Assertion)

The exponent of 5 in the prime factorisation of 3750 is

Euclid's division lemma states that for two positive integers a and b , there exist unique integers q and r such that \(\mathrm{a}=\mathrm{bq}+\mathrm{r}\), where r must satisfy

\(n^2-1\) is divisible by 8 , if \(n\) is:

If the HCF of 65 and 117 is expressible in the form 65m-117, then the value of \(m\) is

The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is

If \(n\) is a natural number, then \(2\left(5^n+6^n\right)\) always ends with

If \(x\) is the LCM of 4,6,8 and \(y\) is the LCM of 3,5,7 and p is the LCM of x and y , then which of the following is true ?

The greatest number which when divided by 1251, 9377 and 15628 leaves remainder 1,2 and 3 respectively is

For some integer \(m\), every even integer is of the form: