Question : A man has some hens and some cows. If the total number of heads of both is 50 and the number of feet of both is 142, then the number of cows is:
Option 1: 21
Option 2: 25
Option 3: 27
Option 4: 29
New: SSC CGL 2025 Tier-1 Result
Latest: SSC CGL complete guide
Suggested: Month-wise Current Affairs | Upcoming Government Exams
Correct Answer: 21
Solution : Let's assume: h = number of hens c = number of cows From the problem, we can make two equations: 1) Each hen and each cow has one head: h + c = 50 ––(i) 2) Each hen has 2 feet and each cow has 4 feet: 2h + 4c = 142 ––(ii) From equation (i), we can express h in terms of c: h = 50 – c ––(iii) Now, substituting the value of h from equation (iii) into equation (ii), we get: 2(50 – c) + 4c = 142 ⇒ 2c = 142 – 100 ⇒ c = $\frac{42}{2}$ ⇒ c = 21 Hence, the number of cows is 21.
Option 1 is correct.
Candidates can download this ebook to know all about SSC CGL.
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Question : Rewa has some hens and some goats. If the total number of animal heads is 100 and the total number of animal feet is 348, then what is the total number of goats with Rewa?
Option 1: 76
Option 2: 74
Option 3: 55
Option 4: 80
Question : Two numbers are, respectively, 17% and 50% more than a third number. The ratio of the two numbers is:
Option 1: 27 : 25
Option 2: 39 : 50
Option 3: 19 : 11
Option 4: 29 : 25
Question : The median of the following data will be _________. 32, 25, 33, 27, 35, 29, and 30
Option 1: 32
Option 2: 27
Option 3: 30
Question : If $a=\frac{1}{a - 5}(a>0)$, then the value of $a+\frac{1}{a}$ is:
Option 1: $\sqrt{29}$
Option 2: $–\sqrt{27}$
Option 3: $-\sqrt{29}$
Option 4: $\sqrt{27}$
Question : If $a+b=3$, then the value of $a^{3}+b^{3}+9ab-27$ is:
Option 1: 24
Option 3: 0
Option 4: 27
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile