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
Determine the prime factorisation of each of the following positive integer:
20570
Determine the prime factorisation of each of the following positive integer:
58500
Can two numbers have 16 as their HCF and 380 as their LCM? Give reason.
Write down the decimal expansions of the following rational numbers by writing their denominators in the form 2m × 5n, where, m, n are non-negative integers.\[\frac{129}{2^2 \times 5^7}\]
Find the L.C.M. and H.C.F. of 408 and 170 by applying the fundamental theorem of Arithmetic
The sum of the exponents of the prime factors in the prime factorization of 1729 is
For some integer p, every odd integer is of the form ______.
The largest number which divides 60 and 75, leaving remainders 8 and 10 respectively, is ______.
If LCM(x, 18) = 36 and HCF(x, 18) = 2, then x is ______.
If two positive integers a and b are written as a = x3y2 and b = xy3, where x, y are prime numbers, then the result obtained by dividing the product of the positive integers by the LCM (a, b) is ______.
