Question : 5 men and 8 women can complete a work in 12 days working together, while 3 men and 7 women together can complete the same work in 15 days. In how many days will 11 women complete the same work?
Option 1: 12
Option 2: 8
Option 3: 6
Option 4: 16
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 12
Solution : Given, 5 men and 8 women can complete a work in 12 days working together 3 men and 7 women together can complete the same work in 15 days Let the work done by a man and a woman in a day be $a$ and $b$ units According to the question, $5(12)a+8(12)b=3(15)a+7(15)b$ ⇒ $15a = 9b$ ⇒ $a=\frac{3}{5}b$ Also, $5(12)a+8(12)b=1$ ⇒ $5\times 12\times \frac{3}{5}b+96b=1$ ⇒ $132b=1$ or, $b=\frac{1}{132}$ Work done by 11 women in a day = $11\times \frac{1}{132}$ = $\frac{1}{12}$ So, the time taken by 11 women to complete the work = 12 days Hence, the correct answer is 12 days.
Candidates can download this ebook to know all about SSC CGL.
Admit Card | Eligibility | Application | Selection Process | Preparation Tips | Result | Answer Key
Question : Two men and 7 women can complete a work in 28 days, whereas 6 men and 16 women can do the same work in 11 days. In how many days will 5 men and 4 women, working together, complete the same work?
Question : 15 men complete a work in 10 days. 15 women complete the same work in 12 days. If all these men and women work together, then the number of days required to complete that work is:
Question : 4 men and 5 women can complete a work in 15 days, whereas 9 men and 6 women can complete it in 10 days. To complete the same work in 7 days, how many women should assist 4 men?
Question : 25 men and 45 women can complete a piece of work in 15 days, while 15 men and 60 women can complete it in 20 days. In how many days can 69 men and 67 women complete the work?
Question : 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 25 women complete it?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile