All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
Class 10 Exam  >  Class 10 Questions  >  There is a person who needs two lemons , He g... Start Learning for Free
SaveJoin the Discussion on the App
There is a person who needs two lemons , He goes to the royal garden of the king to pick some , there are four gates to the garden and on each gate there is a guard , Every guard says to him that out of the lemon he picks , he has to give half of the lemon he picks plus one extra lemon to each guard, So how many lemons he has to pick in total so that after giving the share to the guards he has two lemons left?
Clear all your Class 10 doubts with EduRev
Most Upvoted Answer
There is a person who needs two lemons , He goes to the royal garden o...
Let the person picks up "x" lemons. If at each gate he gives half + one lemons the he will be left with half - one lemons at that gate. Repeat this until he reaches the last gate 
 At the first gate: 
Lemons remaining with him,
x/2 - 1 = (x - 2)/2 lemons 
At the second gate: 
Lemons remaining with him,
1/2(x - 2/2) - 1 = (x - 6)/2 
At the third gate: 
Lemons remaining with him,
1/2(x - 6/4) - 1 = (x - 14)/8 
At the fourth gate: 
Lemons remaining with him,
1/2(x - 14/8) - 1 = (x - 30)/16 
For the person to have 2 lemons at last then, 
x - 30/16 = 2
=> x - 30 = 32
=> x = 62
Community Answer
There is a person who needs two lemons , He goes to the royal garden o...
Problem:

A person needs two lemons, he goes to the royal garden of the king to pick some, there are four gates to the garden and on each gate there is a guard. Every guard says to him that out of the lemon he picks, he has to give half of the lemon he picks plus one extra lemon to each guard. So, how many lemons he has to pick in total so that after giving the share to the guards he has two lemons left?


Solution:


The person needs to pick the lemons in such a way that after giving the share to the guards, he should have two lemons left. Let's solve this problem step-by-step:


Step 1:

Let's assume that the person picks x number of lemons from the garden.


Step 2:

He needs to give half of the lemons he picks plus one extra lemon to each guard. So, he will give (x/2 + 1) lemons to each guard.


Step 3:

As there are four guards, he will give (4 * (x/2 + 1)) lemons to the guards.


Step 4:

After giving the lemons to the guards, he will be left with (x - 4 * (x/2 + 1)) lemons.


Step 5:

According to the problem, he needs to be left with two lemons after giving the share to the guards. So, we can write:


x - 4 * (x/2 + 1) = 2


Step 6:

Solving the above equation, we get:


x - 2x - 8 = 2

-x = 10

x = -10 (which is not possible)


Therefore, there is no solution to this problem. The person cannot fulfill the requirements of the guards and keep two lemons for himself.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
Explore Courses for Class 10 exam

Similar Class 10 Doubts

Directions: Read the following passage and answer the question.The Centre has decided that awards, prizes and fellowships by various ministries and departments need a wholesale relook. The Ministry of Home Affairs, which is executing this directive, has moved much beyond its usual remit of awards for police officers and gallantry medals and irrupted into the world of scientific and medical research. Indias scientific ministries recently made presentations to the Union Home Secretary, Ajay Bhalla, on awards given to scientists at different stages of their career. They also had to list out which were National Awards and which were funded out of private endowments. Though a final call is yet to be taken, the quorum — and this consisted of the Secretaries, or the heads of each of these ministries — was of the opinion that most awards ought to be done away with and ministries could either retain only some of the National Awards or institute one or two high status awards. The rationale for pruning, Mr. Bhalla has said, follows from a "vision" of Prime Minister Narendra Modi regarding "Transformation of the Awards Ecosystem". In 2018, Mr. Modi had said that his government had modified the system of the Padma awards and ensured it recognised ordinary people doing selfless work rather than well-known personalities who repeatedly bag them. The awards, Mr. Bhalla has said, ought to be restricted, and have a transparent selection process.Awards and prizes recognise achievement, but in science and medical research, they are also meant to spur younger scientists towards loftier, imaginative goals. Unlike in sport — or even gallantry awards — where it is relatively easier to define a set of benchmarks and confer medals on achievers, scientific research is open ended, circuitous and — as the history of science reveals — punctuated by lucky breaks. It is possible to train talented youth to be Olympians or international cricketers but impossible to create an Einstein or a Chandrasekhar. Almost every Nobel laureate in the modern era has won various secondary prizes and recognition in their early career and every year; there is as much debate on who was omitted as on the person who won. Recognising early career potential will remain fraught with subjectivity and, with fewer awards on offer, could provoke increased discontent. Contrary to the Prime Ministers vision, fewer awards may actually miss many more promising talents and amplify epaulettes to the already decorated. Awards cost ministries money but the meeting did not discuss whether cutting costs was a factor in the rationalisation. As it is unclear what existing problem the new scheme solves, the Centre should reconsider the merits of its proposal.[Sourced from The Hindu, dated September 29, 2022]Q.Which of the following describes how the passage ends?

Top Courses for Class 10View all

Top Courses for Class 10

There is a person who needs two lemons , He goes to the royal garden of the king to pick some , there are four gates to the garden and on each gate there is a guard , Every guard says to him that out of the lemon he picks , he has to give half of the lemon he picks plus one extra lemon to each guard, So how many lemons he has to pick in total so that after giving the share to the guards he has two lemons left?
Question Description
There is a person who needs two lemons , He goes to the royal garden of the king to pick some , there are four gates to the garden and on each gate there is a guard , Every guard says to him that out of the lemon he picks , he has to give half of the lemon he picks plus one extra lemon to each guard, So how many lemons he has to pick in total so that after giving the share to the guards he has two lemons left? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about There is a person who needs two lemons , He goes to the royal garden of the king to pick some , there are four gates to the garden and on each gate there is a guard , Every guard says to him that out of the lemon he picks , he has to give half of the lemon he picks plus one extra lemon to each guard, So how many lemons he has to pick in total so that after giving the share to the guards he has two lemons left? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There is a person who needs two lemons , He goes to the royal garden of the king to pick some , there are four gates to the garden and on each gate there is a guard , Every guard says to him that out of the lemon he picks , he has to give half of the lemon he picks plus one extra lemon to each guard, So how many lemons he has to pick in total so that after giving the share to the guards he has two lemons left?.
Solutions for There is a person who needs two lemons , He goes to the royal garden of the king to pick some , there are four gates to the garden and on each gate there is a guard , Every guard says to him that out of the lemon he picks , he has to give half of the lemon he picks plus one extra lemon to each guard, So how many lemons he has to pick in total so that after giving the share to the guards he has two lemons left? in English & in Hindi are available as part of our courses for Class 10. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of There is a person who needs two lemons , He goes to the royal garden of the king to pick some , there are four gates to the garden and on each gate there is a guard , Every guard says to him that out of the lemon he picks , he has to give half of the lemon he picks plus one extra lemon to each guard, So how many lemons he has to pick in total so that after giving the share to the guards he has two lemons left? defined & explained in the simplest way possible. Besides giving the explanation of There is a person who needs two lemons , He goes to the royal garden of the king to pick some , there are four gates to the garden and on each gate there is a guard , Every guard says to him that out of the lemon he picks , he has to give half of the lemon he picks plus one extra lemon to each guard, So how many lemons he has to pick in total so that after giving the share to the guards he has two lemons left?, a detailed solution for There is a person who needs two lemons , He goes to the royal garden of the king to pick some , there are four gates to the garden and on each gate there is a guard , Every guard says to him that out of the lemon he picks , he has to give half of the lemon he picks plus one extra lemon to each guard, So how many lemons he has to pick in total so that after giving the share to the guards he has two lemons left? has been provided alongside types of There is a person who needs two lemons , He goes to the royal garden of the king to pick some , there are four gates to the garden and on each gate there is a guard , Every guard says to him that out of the lemon he picks , he has to give half of the lemon he picks plus one extra lemon to each guard, So how many lemons he has to pick in total so that after giving the share to the guards he has two lemons left? theory, EduRev gives you an ample number of questions to practice There is a person who needs two lemons , He goes to the royal garden of the king to pick some , there are four gates to the garden and on each gate there is a guard , Every guard says to him that out of the lemon he picks , he has to give half of the lemon he picks plus one extra lemon to each guard, So how many lemons he has to pick in total so that after giving the share to the guards he has two lemons left? tests, examples and also practice Class 10 tests.
Explore Courses for Class 10 exam

Top Courses for Class 10

Explore Courses

Suggested Free Tests

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
Get App
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup