Advertisements
Advertisements
प्रश्न
There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point?
Advertisements
उत्तर
Since they both move in the same direction and at the same time, to find the time when will they both meet together again, it is enough if we find the LCM of 12 and 18
 |
 |
12 = 2 × 2 × 3
18 = 2 × 3 × 3
LCM (18, 12) = 2 × 2 × 3 × 3 = 36
Therefore, Sonia and Ravi will meet again after 36 minutes.
APPEARS IN
संबंधित प्रश्न
Find the LCM and HCF of the following integers by applying the prime factorisation method.
12, 15 and 21
Determine the prime factorisation of each of the following positive integer:
58500
Determine the prime factorisation of each of the following positive integer:
45470971
Write the sum of the exponents of prime factors in the prime factorization of 98.
If the prime factorization of a natural number n is 23 ✕ 32 ✕ 52 ✕ 7, write the number of consecutive zeros in n.
Express the number as a product of its prime factor:
3825
Express the number as a product of its prime factor:
5005
Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = product of the two numbers.
336 and 54
Find the greatest number consisting of 6 digits which is exactly divisible by 24, 15, 36?
There is a circular path around a sports field. Priya takes 18 minutes to drive one round of the field. Harish takes 12 minutes. Suppose they both start at the same point and at the same time and go in the same direction. After how many minutes will they meet?
Express 98 as a product of its primes.
The ratio of LCM and HCF of the least composite and the least prime numbers is ______.
If LCM(x, 18) = 36 and HCF(x, 18) = 2, then x is ______.
Show that 12n cannot end with the digit 0 or 5 for any natural number n.
Statement A (Assertion): If product of two numbers is 5780 and their HCF is 17, then their LCM is 340.
Statement R (Reason): HCF is always a factor of LCM.
Show the 6n cannot end with digit 0 for any natural number 'n'.
The prime factorisation of the number 5488 is ______.
Three bells toll at intervals of 9, 12 and 15 minutes respectively. If they start tolling together, after what time will they next toll together?
The HCF of two numbers 65 and 104 is 13. If LCM of 65 and 104 is 40x, then the value of x is ______.
