Junior Teacher Practice Set-9(Math)

For any positive integer a and b, there exist unique integers q and r such that a = 3q + r, where r must satisfy.

If HCF (a, b) = 12 and a × b = 1800 then LCM (a, b) is

The decimal expansion of 178 will terminate after how many places of decimals?

The decimal expansion of n is

If HCF of 55 and 99 is expressible in the form 55 m – 99, then the value of m:

Given that LCM of (91, 26) = 182 then HCF (91, 26) is

If A = 2n + 13, B = n + 7 where n is a natural number then HCF of A and B

If the LCM of 12 and 42 is 10 m + 4 then the value of m is

If n is a natural number, then exactly one of numbers n, n + 2 and n + 1 must be a multiple of

The LCM of 2.5, 0.5 and 0.175 is

The exponent of 2 in the prime factorisation of 144, is

The LCM of two numbersls 1200. Which of the following cannot be their HCF ?

The sum of the exponents of the prime factors in the prime factorisation of 196, is

If the LCM of a and 18 is 36 and the HCF of a and 18 is 2, then a =

The HCF of 95 and 152, is

If HCF (26, 169) = 13, then LCM (26, 169) =

Which of the following rational numbers have terminating decimal ?

If 3 is the least prime factor of number a and 7 is the least prime factor of number b, then the least prime factor of a + b, is

The smallest number by which √27 should be multiplied so as to get a rational number is

The smallest rational number by which 1/3 should be multiplied so that its decimal expansion terminates after one place of decimal, is

The LCM and HCF of two rational numbers are equal, then the numbers must be

If the sum of LCM and HCF of two numbers is 1260 and their LCM is 900 more than their HCF, then the product of two numbers is

The remainder when the square of any prime number greater than 3 is divided by 6, is

For some integer m, every even integer is of the form

For some integer q, every odd integer is of the form

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

The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is

Euclid’s division lemma states that for two positive integers a and b, there exist unique integers q and r such that a = bq + r, where r must satisfy

The decimal expansion of the rational number 14587/1250 will terminate after: