Question : The LCM and ratio of the three numbers are 1386 and 3 : 7 : 11, respectively. The sum of the greatest and least numbers is:
Option 1: 60
Option 2: 64
Option 3: 84
Option 4: 108
Correct Answer: 84
Solution : The LCM and ratio of the three numbers = 1386 Let the numbers be $3x, 7x,$ and $11x$. According to the question: $(3\times7\times11)x=1386$ ⇒ $231x=1386$ $\therefore x=6$ Thus, Least number $= 3x=3\times6=18$ Greatest number $=11x=11\times6=66$ $\therefore$ Sum $=18+66=84$ Hence, the correct answer is 84.
Application | Eligibility | Selection Process | Result | Cutoff | Admit Card | Preparation Tips
Question : If the sum of two numbers is 60 and their HCF and LCM are 5 and 60, respectively, then the sum of the reciprocals of the numbers will be:
Option 1: $\frac{1}{11}$
Option 2: $\frac{1}{6}$
Option 3: $\frac{1}{4}$
Option 4: $\frac{1}{5}$
Question : Two numbers are in the ratio 3 : 4. The product of their HCF and LCM is 2700. The sum of the numbers is:
Option 2: 105
Option 3: 15
Option 4: 45
Question : The HCF and the LCM of two numbers are 5 and 175, respectively. If the ratio of the two numbers is 5 : 7, the larger of the two numbers is _______.
Option 1: 35
Option 2: 25
Option 3: 45
Option 4: 75
Question : If three numbers are in the ratio of 1 : 3 : 7, and their LCM is 336, then their HCF is:
Option 1: 16
Option 2: 18
Option 3: 10
Option 4: 12
Question : The LCM of four consecutive numbers is 60. The sum of the first two numbers is equal to the fourth number. What is the sum of the four numbers?
Option 1: 17
Option 2: 14
Option 3: 21
Option 4: 24
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile