In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?a)18b)36c)45d)None of theseCorrect answer is option 'D'. Can you explain this answer?

Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity

Open App

LR Exam > LR Questions > In three coloured boxes - Red, Green and Blue...

In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?

a)
18
b)
36
c)
45
d)
None of these

Correct answer is option 'D'. Can you explain this answer?

Join for Free

Join for Free

Verified Answer

In three coloured boxes - Red, Green and Blue, 108 balls are placed. T...

Let R, G and B represent the number of balls in red, green and blue boxes respectively.

Then, .

R + G + B = 108 ...(i),

G + R = 2B ...(ii)

B = 2R ...(iii)

From (ii) and (iii), we have G + R = 2x 2R = 4R or G = 3R.

Putting G = 3R and B = 2R in (i), we get:

R + 3R + 2R = 108

6R = 108

R = 18.

Therefore Number of balls in green box = G = 3R = (3 x 18) = 54.

View all questions of this test

Most Upvoted Answer

In three coloured boxes - Red, Green and Blue, 108 balls are placed. T...

Let's solve this problem step by step:

Let's assume the number of balls in the blue box is x.

Given that there are twice as many balls in the blue box as there are in the red box, we can say that the number of balls in the red box is x/2.

It is also given that there are twice as many balls in the green and red boxes combined as there are in the blue box. So, the number of balls in the green and red boxes combined is 2x.

Since we know that the number of balls in the green and red boxes combined is 108, we can write the equation as:

2x + x/2 = 108

To solve this equation, let's get rid of the fraction by multiplying the entire equation by 2:

4x + x = 216

Now, combine like terms:

5x = 216

Divide both sides of the equation by 5:

x = 216/5

x = 43.2

Since we can't have a fraction of a ball, we need to round the value of x to the nearest whole number. Therefore, the number of balls in the blue box is approximately 43.

Now that we know the number of balls in the blue box, we can find the number of balls in the red box:

Number of balls in the red box = x/2 = 43/2 = 21.5

Again, we need to round this value to the nearest whole number, so the number of balls in the red box is approximately 21.

Finally, we can find the number of balls in the green box by subtracting the total number of balls in the blue and red boxes combined from the total number of balls:

Number of balls in the green box = Total number of balls - Total number of balls in the blue and red boxes combined
= 108 - (43 + 21)
= 108 - 64
= 44

Therefore, there are 44 balls in the green box.

Hence, the correct answer is option 'D' (None of these).

View all answers Start learning for free

Explore Courses for LR exam

Similar LR Doubts

Directions (1-5): Study the following information carefully and answer the questions given below.Eight boxes namely P, R, S, T, U, M,Nand O are placed from top to bottom but not necessarily in the same order. They contain different types of books among Hindi, English, Sanskrit, Math, Science, Physics, Chemistry and Civics. Boxes are of differentcoloursamong red, green, black and yellowcolour. Exactly two boxes are there of eachcolour. Consider top as 1st position and so on. The following information is known about them. There isgapof one box between the box T whichis greencolourand box R and both are in the top 4 positions when boxes are arranged from top to bottom. The box containing Math book is kept immediately below blackcolourbox and is ofsamecolouras T. Box S is kept somewhere between N and O. Box O is below S. The two yellow boxes are kept vertically adjacent to each other. Sanskrit book is kept exactly between M and the box containing Physics book. O doesn’t contain Hindi book. There isgapof one box between the box U and box N, which is kept immediately below the box containing Math book. Box U is below the box N. The box containing Civics book is placed atevennumbered place but is not placed at the bottom. The redcolourbox which is kept attopeither contains Hindi or Chemistry book. Box U is not of yellowcolour. Box M which contains Science book is of blackcolour. The box containing English book is of blackcolour. S doesn’t contain any of Hindi or Civics book.Q.Which subject book does box N contain?

View answer

Directions (1-5): Study the following information carefully and answer the questions given below.Eight boxes namely P, R, S, T, U, M,Nand O are placed from top to bottom but not necessarily in the same order. They contain different types of books among Hindi, English, Sanskrit, Math, Science, Physics, Chemistry and Civics. Boxes are of differentcoloursamong red, green, black and yellowcolour. Exactly two boxes are there of eachcolour. Consider top as 1st position and so on. The following information is known about them. There isgapof one box between the box T whichis greencolourand box R and both are in the top 4 positions when boxes are arranged from top to bottom. The box containing Math book is kept immediately below blackcolourbox and is ofsamecolouras T. Box S is kept somewhere between N and O. Box O is below S. The two yellow boxes are kept vertically adjacent to each other. Sanskrit book is kept exactly between M and the box containing Physics book. O doesn’t contain Hindi book. There isgapof one box between the box U and box N, which is kept immediately below the box containing Math book. Box U is below the box N. The box containing Civics book is placed atevennumbered place but is not placed at the bottom. The redcolourbox which is kept attopeither contains Hindi or Chemistry book. Box U is not of yellowcolour. Box M which contains Science book is of blackcolour. The box containing English book is of blackcolour. S doesn’t contain any of Hindi or Civics book.Q.Which box is placed at top?

View answer

Directions (1-5): Study the following information carefully and answer the questions given below.Eight boxes namely P, R, S, T, U, M,Nand O are placed from top to bottom but not necessarily in the same order. They contain different types of books among Hindi, English, Sanskrit, Math, Science, Physics, Chemistry and Civics. Boxes are of differentcoloursamong red, green, black and yellowcolour. Exactly two boxes are there of eachcolour. Consider top as 1st position and so on. The following information is known about them. There isgapof one box between the box T whichis greencolourand box R and both are in the top 4 positions when boxes are arranged from top to bottom. The box containing Math book is kept immediately below blackcolourbox and is ofsamecolouras T. Box S is kept somewhere between N and O. Box O is below S. The two yellow boxes are kept vertically adjacent to each other. Sanskrit book is kept exactly between M and the box containing Physics book. O doesn’t contain Hindi book. There isgapof one box between the box U and box N, which is kept immediately below the box containing Math book. Box U is below the box N. The box containing Civics book is placed atevennumbered place but is not placed at the bottom. The redcolourbox which is kept attopeither contains Hindi or Chemistry book. Box U is not of yellowcolour. Box M which contains Science book is of blackcolour. The box containing English book is of blackcolour. S doesn’t contain any of Hindi or Civics book.Q.Which box is placed at 8th position?

View answer

Directions (1-5): Study the following information carefully and answer the questions given below.Eight boxes namely P, R, S, T, U, M,Nand O are placed from top to bottom but not necessarily in the same order. They contain different types of books among Hindi, English, Sanskrit, Math, Science, Physics, Chemistry and Civics. Boxes are of differentcoloursamong red, green, black and yellowcolour. Exactly two boxes are there of eachcolour. Consider top as 1st position and so on. The following information is known about them. There isgapof one box between the box T whichis greencolourand box R and both are in the top 4 positions when boxes are arranged from top to bottom. The box containing Math book is kept immediately below blackcolourbox and is ofsamecolouras T. Box S is kept somewhere between N and O. Box O is below S. The two yellow boxes are kept vertically adjacent to each other. Sanskrit book is kept exactly between M and the box containing Physics book. O doesn’t contain Hindi book. There isgapof one box between the box U and box N, which is kept immediately below the box containing Math book. Box U is below the box N. The box containing Civics book is placed atevennumbered place but is not placed at the bottom. The redcolourbox which is kept attopeither contains Hindi or Chemistry book. Box U is not of yellowcolour. Box M which contains Science book is of blackcolour. The box containing English book is of blackcolour. S doesn’t contain any of Hindi or Civics book.Q.Which box is of black colour?

View answer

Directions (1-5): Study the following information carefully and answer the questions given below.Eight boxes namely P, R, S, T, U, M,Nand O are placed from top to bottom but not necessarily in the same order. They contain different types of books among Hindi, English, Sanskrit, Math, Science, Physics, Chemistry and Civics. Boxes are of differentcoloursamong red, green, black and yellowcolour. Exactly two boxes are there of eachcolour. Consider top as 1st position and so on. The following information is known about them. There isgapof one box between the box T whichis greencolourand box R and both are in the top 4 positions when boxes are arranged from top to bottom. The box containing Math book is kept immediately below blackcolourbox and is ofsamecolouras T. Box S is kept somewhere between N and O. Box O is below S. The two yellow boxes are kept vertically adjacent to each other. Sanskrit book is kept exactly between M and the box containing Physics book. O doesn’t contain Hindi book. There isgapof one box between the box U and box N, which is kept immediately below the box containing Math book. Box U is below the box N. The box containing Civics book is placed atevennumbered place but is not placed at the bottom. The redcolourbox which is kept attopeither contains Hindi or Chemistry book. Box U is not of yellowcolour. Box M which contains Science book is of blackcolour. The box containing English book is of blackcolour. S doesn’t contain any of Hindi or Civics book.Q.Which box contains English book?

View answer

Share with a Friend

Answer this doubt

Question Description
In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?a)18b)36c)45d)None of theseCorrect answer is option 'D'. Can you explain this answer? for LR 2025 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?a)18b)36c)45d)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for LR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?a)18b)36c)45d)None of theseCorrect answer is option 'D'. Can you explain this answer?.

Solutions for In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?a)18b)36c)45d)None of theseCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for LR. Download more important topics, notes, lectures and mock test series for LR Exam by signing up for free.

Here you can find the meaning of In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?a)18b)36c)45d)None of theseCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?a)18b)36c)45d)None of theseCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?a)18b)36c)45d)None of theseCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?a)18b)36c)45d)None of theseCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?a)18b)36c)45d)None of theseCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice LR tests.

Explore Courses for LR exam