Question : The sum of three numbers is 126. If the ratio of the first to third is 3 : 7 and that of the second to third is 4 : 7, then what is the second number?
Option 1: 36
Option 2: 27
Option 3: 63
Option 4: 56
New: SSC MTS Tier 1 Answer key 2024 out
Don't Miss: Month-wise Current Affairs | Upcoming Government Exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 36
Solution : Let the three numbers as $a, b,$ and $c,$ respectively. Given that the sum of the three numbers is 126, we have: $a + b + c = 126$ --------------------(1) It's also given that the ratio of the first to third is 3 : 7 and that of the second to third is 4 : 7. $\Rightarrow \frac{a}{c} = \frac{3}{7}$ $\Rightarrow a = \frac{3}{7}c$ Also, $\frac{b}{c} = \frac{4}{7}$ $\Rightarrow b = \frac{4}{7}c$ Substituting these values into the first equation, we get: $\Rightarrow \frac{3}{7}c + \frac{4}{7}c + c = 126$ $\Rightarrow \frac{14}{7}c = 126$ $\Rightarrow c = 63$ Substituting c into the equation for b. $\Rightarrow b = \frac{4}{7} \times 63 = 36$ Hence, the correct answer is 36.
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Question : In three positive numbers, the ratio of first and second is 3 : 4 and the ratio of second and third is 3 : 5. The product of first and third is 4500. What is the sum of the three numbers?
Option 1: 282
Option 2: 235
Option 3: 198
Option 4: 205
Question : Three numbers are in the ratio of 1 : 2 : 3. The product of the three numbers is 1296. What is the sum of the three numbers?
Option 2: 30
Option 3: 72
Option 4: 24
Question : There are two numbers such that the first number is three times the second number. If the average of these two numbers is 72, then what is the first number?
Option 1: 108
Option 2: 54
Option 3: 36
Option 4: 64
Question : Three numbers are in the ratio 4 : 5 : 7. The sum of the smallest and largest numbers is 44. What is the second smallest number?
Option 1: 28
Option 2: 32
Option 3: 20
Question : Of the three numbers, the first is twice the second, and the second is twice the third. The average of the reciprocal of the numbers is $\frac{7}{12}$. The numbers are:
Option 1: 20, 10 and 5
Option 2: 4, 2 and 1
Option 3: 36, 18 and 9
Option 4: 16, 8 and 4
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile