Real Numbers Examples and Solutions

Two positive integers a and b can be written as a = x³y² and b = xy³. x, y are prime numbers. Find LCM (a, b). 

A seminar is being conducted by an Educational Organisation, where the participants will be educators of different subjects. The number of participants in Hindi, English and Mathematics are 60, 84 and 108 respectively.

In each room, the same number of participants are to be seated and all of them being in the same subject, hence a maximum number of participants that can be accommodated in each room are:

Find the HCF of 1260 and 7344 using Euclid's algorithm.

A seminar is being conducted by an Educational Organisation, where the participants will be educators of different subjects. The number of participants in Hindi, English and Mathematics are 60, 84 and 108 respectively.

108 can be expressed as a product of its primes as:

Two numbers are in the ratio of 5: 6. If 7 is subtracted from each of the numbers, the ratio becomes 4: 5. Find the numbers.

Which number is divisible by 11?

How many two digits numbers are divisible by 3?

To enhance the reading skills of grade X students, the school nominates you and two of your friends to set up a class library. There are two sections: section A and section B of grade X. There are 32 students in section A and 36 students in section B.

If p and q are positive integers such that p = ab² and q = a²b, where a, b are prime numbers, then the LCM (p, q) is: