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There are some cows, bulls and 45 hens in a group. One caretaker looks after 15 animals. The number of bulls is twice the number of cows. If the number of heads is less than the total number of feet by 186 (including the caretakers), how many caretakers are there?
- a)9
- b)8
- c)5
- d)6
- e)4
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
There are some cows, bulls and 45 hens in a group. One caretaker look...
Let the number of cows, bulls and caretaker be a, b and c respectively
It is given, b = 2a
Total number of heads = a+ b + c + 45
Total number of legs = 4a + 4b + 2c + 2 X 45 = 4a + 4b + 2c + 90
4a + 4b + 2c + 90 - (a + b + c + 45) = 186
3a + 3b + c = 141
3a + 3(2a) + c = 141
9a + c = 141
Considering the options, c is less than or equal to 9
Hence, the nearest multiple of 9 less than 141 is 135
Therefore,
C = 141 - 135 = 6
Hence, a = 15, b = 30
Total number of animals = 45 + 15 + 30 = 90
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Community Answer
There are some cows, bulls and 45 hens in a group. One caretaker look...
Let's solve the problem step by step:
Given information:
- There are some cows, bulls, and 45 hens in a group.
- One caretaker looks after 15 animals.
- The number of bulls is twice the number of cows.
- The number of heads is less than the total number of feet by 186 (including the caretakers).
Step 1: Identify the unknowns
- Number of cows = ?
- Number of bulls = ?
- Number of caretakers = ?
Step 2: Set up equations based on the given information
- There are some cows, bulls, and 45 hens in a group. Let's assume the number of cows is x.
- Number of bulls = 2x (as given)
- Total number of animals = cows + bulls + hens = x + 2x + 45 = 3x + 45
- One caretaker looks after 15 animals.
- Total number of caretakers = (Total number of animals) / 15
- The number of heads is less than the total number of feet by 186 (including the caretakers).
- Total number of heads = cows + bulls + hens + caretakers = x + 2x + 45 + (Total number of caretakers)
- Total number of feet = (4 * cows) + (4 * bulls) + (2 * hens) + (2 * caretakers)
- According to the given information, the number of heads is less than the total number of feet by 186:
- (Total number of feet) - (Total number of heads) = 186
Step 3: Simplify and solve the equations
- Substituting the values from the equations above, we have:
- (4 * x) + (4 * 2x) + (2 * 45) + (2 * (Total number of caretakers)) - (x + 2x + 45 + (Total number of caretakers)) = 186
- Simplifying the equation further:
- 4x + 8x + 90 + 2 * (Total number of caretakers) - 3x - 45 - (Total number of caretakers) = 186
- 9x + 2 * (Total number of caretakers) - 3x - 45 - (Total number of caretakers) = 186
- 6x + (Total number of caretakers) - 45 = 186
- 6x + (Total number of caretakers) = 231
Step 4: Find the values of x and (Total number of caretakers)
- To find the values of x and (Total number of caretakers), we need another equation. Let's use the equation: Total number of caretakers = (Total number of animals) / 15
- (Total number of caretakers) = (3x + 45) / 15
- Substituting this value in the previous equation:
- 6x + (3x + 45) / 15 = 231
- Simplifying the equation further:
- 90x + 3x + 45 = 3465
- 93x = 3420
- x = 36
- Substituting
Given information:
- There are some cows, bulls, and 45 hens in a group.
- One caretaker looks after 15 animals.
- The number of bulls is twice the number of cows.
- The number of heads is less than the total number of feet by 186 (including the caretakers).
Step 1: Identify the unknowns
- Number of cows = ?
- Number of bulls = ?
- Number of caretakers = ?
Step 2: Set up equations based on the given information
- There are some cows, bulls, and 45 hens in a group. Let's assume the number of cows is x.
- Number of bulls = 2x (as given)
- Total number of animals = cows + bulls + hens = x + 2x + 45 = 3x + 45
- One caretaker looks after 15 animals.
- Total number of caretakers = (Total number of animals) / 15
- The number of heads is less than the total number of feet by 186 (including the caretakers).
- Total number of heads = cows + bulls + hens + caretakers = x + 2x + 45 + (Total number of caretakers)
- Total number of feet = (4 * cows) + (4 * bulls) + (2 * hens) + (2 * caretakers)
- According to the given information, the number of heads is less than the total number of feet by 186:
- (Total number of feet) - (Total number of heads) = 186
Step 3: Simplify and solve the equations
- Substituting the values from the equations above, we have:
- (4 * x) + (4 * 2x) + (2 * 45) + (2 * (Total number of caretakers)) - (x + 2x + 45 + (Total number of caretakers)) = 186
- Simplifying the equation further:
- 4x + 8x + 90 + 2 * (Total number of caretakers) - 3x - 45 - (Total number of caretakers) = 186
- 9x + 2 * (Total number of caretakers) - 3x - 45 - (Total number of caretakers) = 186
- 6x + (Total number of caretakers) - 45 = 186
- 6x + (Total number of caretakers) = 231
Step 4: Find the values of x and (Total number of caretakers)
- To find the values of x and (Total number of caretakers), we need another equation. Let's use the equation: Total number of caretakers = (Total number of animals) / 15
- (Total number of caretakers) = (3x + 45) / 15
- Substituting this value in the previous equation:
- 6x + (3x + 45) / 15 = 231
- Simplifying the equation further:
- 90x + 3x + 45 = 3465
- 93x = 3420
- x = 36
- Substituting
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Question Description
There are some cows, bulls and 45 hens in a group. One caretaker looks after 15 animals. The number of bulls is twice the number of cows. If the number of heads is less than the total number of feet by 186 (including the caretakers), how many caretakers are there?a) 9b) 8c) 5d) 6e) 4Correct answer is option 'D'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about There are some cows, bulls and 45 hens in a group. One caretaker looks after 15 animals. The number of bulls is twice the number of cows. If the number of heads is less than the total number of feet by 186 (including the caretakers), how many caretakers are there?a) 9b) 8c) 5d) 6e) 4Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are some cows, bulls and 45 hens in a group. One caretaker looks after 15 animals. The number of bulls is twice the number of cows. If the number of heads is less than the total number of feet by 186 (including the caretakers), how many caretakers are there?a) 9b) 8c) 5d) 6e) 4Correct answer is option 'D'. Can you explain this answer?.
There are some cows, bulls and 45 hens in a group. One caretaker looks after 15 animals. The number of bulls is twice the number of cows. If the number of heads is less than the total number of feet by 186 (including the caretakers), how many caretakers are there?a) 9b) 8c) 5d) 6e) 4Correct answer is option 'D'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about There are some cows, bulls and 45 hens in a group. One caretaker looks after 15 animals. The number of bulls is twice the number of cows. If the number of heads is less than the total number of feet by 186 (including the caretakers), how many caretakers are there?a) 9b) 8c) 5d) 6e) 4Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are some cows, bulls and 45 hens in a group. One caretaker looks after 15 animals. The number of bulls is twice the number of cows. If the number of heads is less than the total number of feet by 186 (including the caretakers), how many caretakers are there?a) 9b) 8c) 5d) 6e) 4Correct answer is option 'D'. Can you explain this answer?.
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