Question
Three numbers are in the ratio 4:5:6 and their LCM is 180. Their HCF is:
The correct answer is
3
- Let the numbers be 4x, 5x, 6x.
- LCM of (4x, 5x, 6x) = 180.
- The LCM of (4, 5, 6) = 60, so LCM of the actual numbers is 60x.
- Given, 60x = 180, solving for x:
x = 180 / 60 = 3.
- The actual numbers: 12, 15, 18.
- Their HCF = 3.
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Important Questions from Number System
Consider the following statements :
1. (25)! + 1 is divisible by 26
2. (6)! + 1 is divisible by 7
Which of the above statements is/are correct ?
If the sum S is divided by 8, what is the remainder ?
If the sum S is divided by 60, what is the remainder ?
Find the sum of squares of the greatest value and the smallest value of K in the number so that the number 45082K is divisible by 3.
How many composite numbers are there from 53 to 97 ?
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