Maths- Real Numbers Set 1

HCF of 52 x 32 and 35 x 53 is:

Two natural numbers whose difference is 66 and the least common multiple is 360, are:

The HCF of 2472, 1284 and a third number N is 12. If their LCM is 23 x 32 x 5 x 103 x 107, then the number Nis :

There are 576 boys and 448 girls in a school that are to be divided into equal sections of either boys or girls alone. The total number of sections thus formed are:

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

Two alarm clocks ring their alarms at regular intervals of 50 seconds and 48 seconds. If they first beep together at 12 noon, at what time will they beep again for the first time ?

The ratio between the LCM and HCF of 5, 15, 20 is:

If two positive integers p and q can be expressed as p = ab

If two positive integers a and b are written as a = x'y1 and b = xyi, where x, y are prime numbers, then HCF(a, b) is
Also, find LCM of (a, b).

For some integersp and 5, there exist unique integers q and r such that p