CAT Exam  >  CAT Questions  >   Directions for questions: Answer the questio... Start Learning for Free
Directions for questions: Answer the questions based on the following information.
Five men checked into a hotel with a bag of peanuts and a monkey. They planned on dividing the peanuts evenly the following morning. However, during the night one of the man got up, divided the peanuts into five equal parts, took his fifth and had one leftover peanut which he gave to the monkey. He put other shares of peanuts back into the bag and returned to bed. A little later, a second man (who did not know that the first man had been up) divided the peanuts in five equal parts and took his fifth. He also had one peanut leftover, which he gave to the monkey and he put rest of the peanuts back in the bag. Likewise, during the night the third, fourth and fifth men got up, divided the peanuts and each one had a peanut left over for the monkey. The next morning, they divided the remaining peanuts in five equal parts with no leftover. The bag initially had least possible number of peanuts. No peanut was cracked.
Q. How many peanuts were originally in the bag?
  • a)
    1535
  • b)
    204
  • c)
    3121
  • d)
    2437
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Directions for questions: Answer the questions based on the following...
View all questions of this test
Most Upvoted Answer
Directions for questions: Answer the questions based on the following...
If n is supposed to be unknown,and  Y is total sum and X is last share Then original equation will be:


Y = nX.(n/n-1)^n +((n/n-1)^(n-1)) +((n/n-1)^(n-2)) +    +((n/n-1)^2 )+(n/n-1) +1


if n=5, and let Y and X is unknown

then

Y=5X.(5/5-1)^5 +((5/5-1)^5-1) +((5/5-1)^5-2) +((5/5-1)^5-3) +((5/5-1)^5-4)+((5/5-1)^5-5).

resolving the equation

Y=15.25878906X+8.20703125


if it is simplifyed  withot decimals /divisions

the equation becomes

15625X + 1024Y = 8404


in both the equation if we put X=204

then Y=3121.
Free Test
Community Answer
Directions for questions: Answer the questions based on the following...
Calculation of the Number of Peanuts in the Bag
To solve this problem, we need to work backwards by considering the actions of each man during the night.

First Man:
- Initially, the bag of peanuts had x peanuts.
- The first man divided the peanuts into 5 equal parts, took his fifth, and had 1 leftover peanut for the monkey.
- Therefore, the number of peanuts left in the bag after his share = 4x/5 - 1.

Second Man:
- The second man also divided the peanuts into 5 equal parts, took his fifth, and had 1 leftover peanut for the monkey.
- Therefore, the number of peanuts left in the bag after his share = 4(4x/5 - 1)/5 - 1.

Third, Fourth, and Fifth Man:
- Following the same logic, the number of peanuts left in the bag after each man took his share and gave one peanut to the monkey are:
- Third man: 4(4(4x/5 - 1)/5 - 1)/5 - 1
- Fourth man: 4(4(4(4x/5 - 1)/5 - 1)/5 - 1)/5 - 1
- Fifth man: 4(4(4(4(4x/5 - 1)/5 - 1)/5 - 1)/5 - 1)/5 - 1

Final Division:
- After all five men took their share and gave one peanut to the monkey, the remaining peanuts were divided equally among them with no leftovers.
- Therefore, we have the equation: 4(4(4(4(4x/5 - 1)/5 - 1)/5 - 1)/5 - 1)/5 - 1 = 5n, where n is a positive integer.

Solving for x:
- By solving the above equation, we find x = 3121.
Therefore, the bag originally had 3121 peanuts.
Explore Courses for CAT exam

Similar CAT Doubts

Top Courses for CAT

Directions for questions: Answer the questions based on the following information. Five men checked into a hotel with a bag of peanuts and a monkey. They planned on dividing the peanuts evenly the following morning. However, during the night one of the man got up, divided the peanuts into five equal parts, took his fifth and had one leftover peanut which he gave to the monkey. He put other shares of peanuts back into the bag and returned to bed. A little later, a second man (who did not know that the first man had been up) divided the peanuts in five equal parts and took his fifth. He also had one peanut leftover, which he gave to the monkey and he put rest of the peanuts back in the bag. Likewise, during the night the third, fourth and fifth men got up, divided the peanuts and each one had a peanut left over for the monkey. The next morning, they divided the remaining peanuts in five equal parts with no leftover. The bag initially had least possible number of peanuts. No peanut was cracked.Q. How many peanuts were originally in the bag?a) 1535b) 204c) 3121d) 2437Correct answer is option 'C'. Can you explain this answer?
Question Description
Directions for questions: Answer the questions based on the following information. Five men checked into a hotel with a bag of peanuts and a monkey. They planned on dividing the peanuts evenly the following morning. However, during the night one of the man got up, divided the peanuts into five equal parts, took his fifth and had one leftover peanut which he gave to the monkey. He put other shares of peanuts back into the bag and returned to bed. A little later, a second man (who did not know that the first man had been up) divided the peanuts in five equal parts and took his fifth. He also had one peanut leftover, which he gave to the monkey and he put rest of the peanuts back in the bag. Likewise, during the night the third, fourth and fifth men got up, divided the peanuts and each one had a peanut left over for the monkey. The next morning, they divided the remaining peanuts in five equal parts with no leftover. The bag initially had least possible number of peanuts. No peanut was cracked.Q. How many peanuts were originally in the bag?a) 1535b) 204c) 3121d) 2437Correct answer is option 'C'. 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 Directions for questions: Answer the questions based on the following information. Five men checked into a hotel with a bag of peanuts and a monkey. They planned on dividing the peanuts evenly the following morning. However, during the night one of the man got up, divided the peanuts into five equal parts, took his fifth and had one leftover peanut which he gave to the monkey. He put other shares of peanuts back into the bag and returned to bed. A little later, a second man (who did not know that the first man had been up) divided the peanuts in five equal parts and took his fifth. He also had one peanut leftover, which he gave to the monkey and he put rest of the peanuts back in the bag. Likewise, during the night the third, fourth and fifth men got up, divided the peanuts and each one had a peanut left over for the monkey. The next morning, they divided the remaining peanuts in five equal parts with no leftover. The bag initially had least possible number of peanuts. No peanut was cracked.Q. How many peanuts were originally in the bag?a) 1535b) 204c) 3121d) 2437Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions for questions: Answer the questions based on the following information. Five men checked into a hotel with a bag of peanuts and a monkey. They planned on dividing the peanuts evenly the following morning. However, during the night one of the man got up, divided the peanuts into five equal parts, took his fifth and had one leftover peanut which he gave to the monkey. He put other shares of peanuts back into the bag and returned to bed. A little later, a second man (who did not know that the first man had been up) divided the peanuts in five equal parts and took his fifth. He also had one peanut leftover, which he gave to the monkey and he put rest of the peanuts back in the bag. Likewise, during the night the third, fourth and fifth men got up, divided the peanuts and each one had a peanut left over for the monkey. The next morning, they divided the remaining peanuts in five equal parts with no leftover. The bag initially had least possible number of peanuts. No peanut was cracked.Q. How many peanuts were originally in the bag?a) 1535b) 204c) 3121d) 2437Correct answer is option 'C'. Can you explain this answer?.
Solutions for Directions for questions: Answer the questions based on the following information. Five men checked into a hotel with a bag of peanuts and a monkey. They planned on dividing the peanuts evenly the following morning. However, during the night one of the man got up, divided the peanuts into five equal parts, took his fifth and had one leftover peanut which he gave to the monkey. He put other shares of peanuts back into the bag and returned to bed. A little later, a second man (who did not know that the first man had been up) divided the peanuts in five equal parts and took his fifth. He also had one peanut leftover, which he gave to the monkey and he put rest of the peanuts back in the bag. Likewise, during the night the third, fourth and fifth men got up, divided the peanuts and each one had a peanut left over for the monkey. The next morning, they divided the remaining peanuts in five equal parts with no leftover. The bag initially had least possible number of peanuts. No peanut was cracked.Q. How many peanuts were originally in the bag?a) 1535b) 204c) 3121d) 2437Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of Directions for questions: Answer the questions based on the following information. Five men checked into a hotel with a bag of peanuts and a monkey. They planned on dividing the peanuts evenly the following morning. However, during the night one of the man got up, divided the peanuts into five equal parts, took his fifth and had one leftover peanut which he gave to the monkey. He put other shares of peanuts back into the bag and returned to bed. A little later, a second man (who did not know that the first man had been up) divided the peanuts in five equal parts and took his fifth. He also had one peanut leftover, which he gave to the monkey and he put rest of the peanuts back in the bag. Likewise, during the night the third, fourth and fifth men got up, divided the peanuts and each one had a peanut left over for the monkey. The next morning, they divided the remaining peanuts in five equal parts with no leftover. The bag initially had least possible number of peanuts. No peanut was cracked.Q. How many peanuts were originally in the bag?a) 1535b) 204c) 3121d) 2437Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Directions for questions: Answer the questions based on the following information. Five men checked into a hotel with a bag of peanuts and a monkey. They planned on dividing the peanuts evenly the following morning. However, during the night one of the man got up, divided the peanuts into five equal parts, took his fifth and had one leftover peanut which he gave to the monkey. He put other shares of peanuts back into the bag and returned to bed. A little later, a second man (who did not know that the first man had been up) divided the peanuts in five equal parts and took his fifth. He also had one peanut leftover, which he gave to the monkey and he put rest of the peanuts back in the bag. Likewise, during the night the third, fourth and fifth men got up, divided the peanuts and each one had a peanut left over for the monkey. The next morning, they divided the remaining peanuts in five equal parts with no leftover. The bag initially had least possible number of peanuts. No peanut was cracked.Q. How many peanuts were originally in the bag?a) 1535b) 204c) 3121d) 2437Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Directions for questions: Answer the questions based on the following information. Five men checked into a hotel with a bag of peanuts and a monkey. They planned on dividing the peanuts evenly the following morning. However, during the night one of the man got up, divided the peanuts into five equal parts, took his fifth and had one leftover peanut which he gave to the monkey. He put other shares of peanuts back into the bag and returned to bed. A little later, a second man (who did not know that the first man had been up) divided the peanuts in five equal parts and took his fifth. He also had one peanut leftover, which he gave to the monkey and he put rest of the peanuts back in the bag. Likewise, during the night the third, fourth and fifth men got up, divided the peanuts and each one had a peanut left over for the monkey. The next morning, they divided the remaining peanuts in five equal parts with no leftover. The bag initially had least possible number of peanuts. No peanut was cracked.Q. How many peanuts were originally in the bag?a) 1535b) 204c) 3121d) 2437Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Directions for questions: Answer the questions based on the following information. Five men checked into a hotel with a bag of peanuts and a monkey. They planned on dividing the peanuts evenly the following morning. However, during the night one of the man got up, divided the peanuts into five equal parts, took his fifth and had one leftover peanut which he gave to the monkey. He put other shares of peanuts back into the bag and returned to bed. A little later, a second man (who did not know that the first man had been up) divided the peanuts in five equal parts and took his fifth. He also had one peanut leftover, which he gave to the monkey and he put rest of the peanuts back in the bag. Likewise, during the night the third, fourth and fifth men got up, divided the peanuts and each one had a peanut left over for the monkey. The next morning, they divided the remaining peanuts in five equal parts with no leftover. The bag initially had least possible number of peanuts. No peanut was cracked.Q. How many peanuts were originally in the bag?a) 1535b) 204c) 3121d) 2437Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Directions for questions: Answer the questions based on the following information. Five men checked into a hotel with a bag of peanuts and a monkey. They planned on dividing the peanuts evenly the following morning. However, during the night one of the man got up, divided the peanuts into five equal parts, took his fifth and had one leftover peanut which he gave to the monkey. He put other shares of peanuts back into the bag and returned to bed. A little later, a second man (who did not know that the first man had been up) divided the peanuts in five equal parts and took his fifth. He also had one peanut leftover, which he gave to the monkey and he put rest of the peanuts back in the bag. Likewise, during the night the third, fourth and fifth men got up, divided the peanuts and each one had a peanut left over for the monkey. The next morning, they divided the remaining peanuts in five equal parts with no leftover. The bag initially had least possible number of peanuts. No peanut was cracked.Q. How many peanuts were originally in the bag?a) 1535b) 204c) 3121d) 2437Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev