Question: In a zoo, there are Rabbits and Pigeons. If heads are counted, there are 200 and if legs are counted, there are 580. How many pigeons are there?
- 90
- 100
- 110
- 120
- 130
Correct Answer: C
Solution and Explanation
Approach Solution 1:
There is only one approach to solve this problem
The given case states that there are rabbits and pigeons in a zoo. When the heads are counted for both rabbits and pigeons there are 200 heads and when legs are counted, there are 580 legs.
Based on this information, we need to find the number of pigeons in the zoo.let the pigeon be x and rabbit be y. For this, let the number of heads for each rabbit and pigeon be x + y. Considering that there are 200 heads, and each of the animal has one head, it can be stated that -
x + y = 200 ………………………………… (1)
However, in the case of legs, a rabbit has 4 legs while a pigeon has 2 legs. The total number of legs as stated in the condition is 580. Hence, the number of legs in the zoo for rabbits and pigeons combined can be evaluated as-
4x + 2y = 580 ………………………………… (2)
Now, equating (1) and (2), we get,
4 * Eq (1) - Eq (2), which gives the following equation results:
=> 4 * (x+ y) - (4x + 2y) = 4 * 200 - 580
=> 4x + 4y - 4x - 2y = 800 - 580
Cancelling out 4x and -4y, the resulting equation stands as-
=> 4y - 2y = 220
=> 2y = 220
=> y = 220/2
=> y = 110
Thus, given that y is denoted for the pigeons, it can be evaluated that, there were a total of 110 pigeons in the zoo. Hence, option C is the correct answer.
“In a zoo, there are Rabbits and Pigeons. If heads”- is a topic of the GMAT Quantitative reasoning section of GMAT. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. GMAT Quant practice papers improve the mathematical knowledge of the candidates as it represents multiple sorts of quantitative problems.
Suggested GMAT Problem Solving Questions
- In a Drawer, There are 4 White Socks, 3 Blue Socks, and 5 Grey Socks GMAT Problem Solving
- In a Class of 100 Students 70 Passed in Physics, 62 Passed in Mathematics, GMAT Problem Solving
- If x and y Are Positive Odd Integers, And Both Numbers Have An Odd Number Of Positive Divisors GMAT Problem Solving
- Copper Pipe Costs x Cents Per Foot in 8-Foot Lengths GMAT Problem Solving
- Find The Smallest Positive 4-Digit Number Which, When Increased by 8, is Divisible by 12, 18, 30, and 45 GMAT Problem Solving
- How Much Pure Alcohol Should Be Added To 400 ml of a 15% Solution To Make The Strength Of The Solution 32%? GMAT Problem Solving
- 16 Ounces of Birdseed Mix Contains 10% Sesame Seed by Weight GMAT Problem Solving
- The Diameter of Circle S is Equal in Length to a Side of a Certain Square GMAT Problem Solving
- In a college of 300 students, every student reads 5 newspapers and every newspaper is read by 60 students. GMAT Problem Solving
- If The Sum of 9 Consecutive Integers is 90 GMAT Problem Solving
- If a Carton Containing a Dozen Mirrors is Dropped GMAT Problem Solving
- Two Solutions Having Milk and Water in the Ratios 3 : 5 and 4 : 7 are GMAT Problem Solving
- A Mixture of 40 Liters of Milk and Water Contains 10% Water GMAT Problem Solving
- The Number 2 - 0.5 is How Many Times the Number 1 - 0.5? GMAT Problem Solving
- If n = 3, What is The Value of 2^2n+1? GMAT Problem Solving
- Which of the Following is Equal to 5^17×4^9? GMAT Problem Solving
- In a Group of 6 Boys and 4 Girls, Four Children Are to be Selected GMAT Problem Solving
- Which of the Following Fractions has a Decimal Equivalent that is a Terminating Decimal? GMAT Problem Solving
- The Price of Onions Increases by 25%, by what Percent should a Housewife Reduces the Consumption so that Expenditure on Onions can be Same as Before? GMAT Problem Solving
- A and B are Two Alloys of Gold and Copper Prepared By Mixing Metals in GMAT Problem Solving
- For integers x and y, 2^x+2^y=2^30. What is the value of x+y? GMAT Problem Solving
- United Telephone charges a base rate of $10.00 for service, plus an additional charge of $0.25 per minute. Atlantic Call charges a base rate of $12.00 for service GMAT Problem Solving
- Lamp A Flashes Every 6 seconds, Lamp B Flashes Every 8 seconds, Lamp C Flashes Every 10 seconds GMAT Problem Solving
- At a Sandwich Shop, There are 2 Breads, 3 Kinds of Meat, 4 Types of Cheeses GMAT Problem Solving
- A Survey was Conducted Among 1000 People to Know About their Eating Habits GMAT Problem Solving
- Jake Rides His Bike for the First 2/3 of the Distance From Home to School GMAT Problem Solving
- Two Trains Running in Opposite Directions Cross a Man Standing on the Platform GMAT Problem Solving
- Initial Population of a Town was 8000 PeopleGMAT Problem Solving
- The Volume of a Sphere with Radius r is (4/3)*pi*r^3. A Solid Sphere GMAT Problem Solving
- Which of the Following is Equal to 5^17×4^9? GMAT Problem Solving
- In a Shooting Competition, Probability of A Hitting Target is 2/5, by B is 2/3 and C is 3/5 GMAT Problem Solving
- The Sides of a Quadrilateral Taken in Order are 16,16,14 and 10 GMAT Problem Solving
- If 80 Lamps Can Be Lighted, 5 Hours Per Day For 10 Days GMAT Problem Solving
- If
denotes the area of a circle with diameter d, then which of the following is equal to <4>*<6> GMAT Problem Solving - At exactly what time past 7:00 will the minute and hour hands of an accurate working clock be precisely perpendicular to each other for the first time? GMAT Problem Solving
- There is a 120 Liter Mixture of Alcohol and Water GMAT Problem Solving
- When X Is Divided By 13, The Answer Is Y With a Remainder of 3. GMAT Problem Solving
- If a/b = 2/3 Which of the Following is Not True? GMAT Problem Solving
- 1/3 of the Cookies in a Jar are Chocolate Chip, 2/3 of the Remaining Cookies are Peanut Butter GMAT Problem Solving
- The Kinetic Energy K, in Joules, Provided by the Mass of a Particle m GMAT Problem Solving
- A Recent Survey Showed That 50 Percent of People Polled Believe that Elected Officials Should Resign GMAT Problem Solving
- The Perimeter of a Square is Equal to the Perimeter of a Rectangle Whose Length And Width are 6m and 4m Respectively GMAT Problem Solving
- The Closing Price of Stock X Changed on Each Trading Day Last Month GMAT Problem Solving
- An Exam Consists of 8 True/False Questions GMAT Problem Solving
- From her Collection of 9 Different Hats Ellen Wants to Wear one Different Hat GMAT Problem Solving
- Company C Sells a Line of 25 Products with an Average Retail Price of $1,200GMAT Problem Solving
- A Man has 1044 Candles. After Burning, He can Make a New Candle GMAT Problem Solving
- An Equilateral Triangle ABC is Inscribed in Square ADEF GMAT Problem Solving
- A Popular Website Requires Users to Create a Password Consisting of Digits Only GMAT Problem Solving
- A Furniture Store Sells Only Two Models of Desks, Model A and Model B GMAT Problem Solving
Comments