Question : In a party hall, there are people in blue and red dresses. The ratio of the number of men in blue to the number of women in red is 3 : 7. The ratio of men in red to the number of women in blue is 2 : 1. If the ratio of the number of people in blue to the number of people in red is 35 : 76, then what is the ratio of number of men to the number of women?
Option 1: 47 : 51
Option 2: 40 : 43
Option 3: 62 : 57
Option 4: 52 : 59
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: 52 : 59
Solution : Given: (Men in blue) : (Women in red) = 3 : 7 (Men in red) : (Women in blue) = 2 : 1 (People in blue) : (People in red) = 35 : 76 Let the men in blue and women in red be 3$x$ and 7$x$, respectively. Let the men in red and women in blue be 2$y$ and $y$, respectively. According to the question, $\frac{3x+y}{7x+2y}=\frac{35}{76}$ ⇒ $245x+70y=228x+76y$ ⇒ $\frac{x}{y}=\frac{6}{17}$ Let $x$ = 6k and $y$ = 17k Number of men = 3$x$ + 2$y$ = (3 × 6k) + (2 × 17k) = 18k + 34k = 52k Number of women = 7$x$ + $y$ = (7 × 6k) + (17k) = 59k So, the ratio of the number of men to the number of women = 52 : 59 Hence, the correct answer is 52 : 59.
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Question : In a bucket, there are 40 red balls and 120 blue balls. The ratio of red to blue is:
Question : In a room, there are 36 women and 20 men. What is the ratio of men to the total number of people in that room?
Question : The total number of colour blocks is 1260. If the ratio of red block to blue block is 2 : 5 and the ratio of blue block to yellow block is 15 : 7, then how many yellow blocks are there?
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 27, 31, 35, 39, 43, 47, ?
Question : Which of the following articles of the Indian Constitution is related to the "Promotion of International Peace and Security"?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile