Advertisements
Advertisements
प्रश्न
National Art convention got registrations from students from all parts of the country, of which 60 are interested in music, 84 are interested in dance and 108 students are interested in handicrafts. For optimum cultural exchange, organisers wish to keep them in minimum number of groups such that each group consists of students interested in the same artform and the number of students in each group is the same. Find the number of students in each group. Find the number of groups in each art form. How many rooms are required if each group will be allotted a room?
Advertisements
उत्तर
Number of students in each group subject to the given condition = HCF (60, 84, 108)
HCF (60, 84, 108) = 12
Number of groups in Music = `60/12` = 5
Number of groups in Dance = `84/12` = 7
Number of groups in Handicrafts = `108/12` = 9
Total number of rooms required = 21
APPEARS IN
संबंधित प्रश्न
Consider the number 6n where n is a natural number. Check whether there is any value of n ∈ N for which 6n is divisible by 7.
A merchant has 120 liters of oil of one kind, 180 liters of another kind and 240 liters of third kind. He wants to sell the oil by filling the three kinds of oil in tins of equal capacity. What should be the greatest capacity of such a tin?
Find the LCM and HCF of the following integers by applying the prime factorisation method:
40, 36 and 126
Can two numbers have 16 as their HCF and 380 as their LCM? Give reason.
Write the sum of the exponents of prime factors in the prime factorization of 98.
Express the number as a product of its prime factor:
156
For what value of natural number n, 4n can end with the digit 6?
Express 98 as a product of its primes.
Let a and b be two positive integers such that a = p3q4 and b = p2q3, where p and q are prime numbers. If HCF (a, b) = pmqn and LCM (a, b) = prqs, then (m + n)(r + s) = ______.
The HCF of the smallest 2-digit number and the smallest composite number is ______.
