Question : Three positive numbers are in the proportion of 2 : 3 : 5. If the sum of their squares is 342, then find the largest number.
Option 1: 35
Option 2: 55
Option 3: 15
Option 4: 25
New: SSC MTS 2024 Application Form OUT; Direct Link
Don't Miss: Month-wise Current Affairs | Upcoming Government Exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 15
Solution : Let the numbers be $2x,3x$ and $5x$. According to the question, $4x^2+9x^2+25x^2=342$ ⇒ $38x^2=342$ ⇒ $x^2=9$ ⇒ $x=3$ Thus, the largest number is $5x=5\times3=15$ Hence, the correct answer is 15.
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Question : The numbers are in the ratio of 3 : 5. if their HCF is 11, then find the sum of two numbers.
Question : The sum of the squares of 3 consecutive positive numbers is 365. The sum of the numbers is:
Question : The sum of squares of 3 consecutive positive numbers is 365. The sum of the numbers is:
Question : The LCM of the two numbers is 4 times their HCF. The sum of LCM and HCF is 125. If one of the numbers is 100, then the other number is:
Question : The sum of the two numbers is 45. Their HCF and LCM are 5 and 70 respectively. Find the sum of the reciprocal of the two numbers.
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile