All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
UPSC Exam  >  UPSC Questions  >  6 different sweet varieties of count 32,216,1... Start Learning for Free
SaveJoin the Discussion on the App
6 different sweet varieties of count 32,216,136,184,120 were ordered for a particular occasion. they need to be packed in such a way that each box has the same variety of sweets and the number of sweets in each box is also the same. what is the minimum number of boxes required to pack?
Clear all your UPSC doubts with EduRev
Most Upvoted Answer
6 different sweet varieties of count 32,216,136,184,120 were ordered f...
Understanding the Problem
To pack the sweets efficiently, we need to determine the greatest common divisor (GCD) of the counts of the different sweet varieties. The counts are: 32, 216, 136, 184, and 120.
Finding the GCD
1. Prime Factorization of Each Count:
- 32 = 2^5
- 216 = 2^3 × 3^3
- 136 = 2^3 × 17
- 184 = 2^3 × 23
- 120 = 2^3 × 3 × 5
2. Identifying the Common Factors:
- The common factor across all counts is 2^3 (which is 8).
3. Calculating the GCD:
- Hence, GCD(32, 216, 136, 184, 120) = 8.
Calculating the Number of Boxes
To find the minimum number of boxes:
- Divide Each Count by the GCD:
- 32 ÷ 8 = 4
- 216 ÷ 8 = 27
- 136 ÷ 8 = 17
- 184 ÷ 8 = 23
- 120 ÷ 8 = 15
- Total Boxes Required:
- Total number of boxes = 4 + 27 + 17 + 23 + 15 = 86.
Conclusion
The minimum number of boxes required to pack the sweets, with each box containing the same number of sweets of the same variety, is 86 boxes.
Explore Courses for UPSC exam

Similar UPSC Doubts

Passage — 5Food varieties extinction is happening all over the world --- and it is happening fast. For example, of the 7,000 apple varieties that were grown during the nineteenth century, fewer than o hundred remain. In the Philippines, thousands of varieties of rice once thrived; now only up to a hundred are grown there. In China, 90 percent of the wheat varieties cultivated just a century ago have disappeared. Farmers in the past painstakingly bred and developed crops well suited to the peculiarities of their local climate and environment. In the recent past, our heavy dependence on a few high yielding varieties and technology-driven production and distribution of food is causing the dwindling of diversity in food crops. If some mutating crop disease or future climate change decimates thefew crop plants we have come to depend on tofeed our growing population, we might desperately need some of those varieties we have let go extinct.On the basis of the above passage, the following assumptions have been made:1. Humans have been the main reason for the large scale extinction of plant species.2. Consumption of food mainly from locally cultivated crops ensures crop diversity.3. The present style of production and distribution of food will finally lead to the problem of food scarcity in the near future.4. Our food security may depend on our ability to preserve the locally cultivated varieties of crops.Q.Which of the above assumptions are valid?

Top Courses for UPSCView all

Top Courses for UPSC

6 different sweet varieties of count 32,216,136,184,120 were ordered for a particular occasion. they need to be packed in such a way that each box has the same variety of sweets and the number of sweets in each box is also the same. what is the minimum number of boxes required to pack?
Question Description
6 different sweet varieties of count 32,216,136,184,120 were ordered for a particular occasion. they need to be packed in such a way that each box has the same variety of sweets and the number of sweets in each box is also the same. what is the minimum number of boxes required to pack? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 6 different sweet varieties of count 32,216,136,184,120 were ordered for a particular occasion. they need to be packed in such a way that each box has the same variety of sweets and the number of sweets in each box is also the same. what is the minimum number of boxes required to pack? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 6 different sweet varieties of count 32,216,136,184,120 were ordered for a particular occasion. they need to be packed in such a way that each box has the same variety of sweets and the number of sweets in each box is also the same. what is the minimum number of boxes required to pack?.
Solutions for 6 different sweet varieties of count 32,216,136,184,120 were ordered for a particular occasion. they need to be packed in such a way that each box has the same variety of sweets and the number of sweets in each box is also the same. what is the minimum number of boxes required to pack? in English & in Hindi are available as part of our courses for UPSC. Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of 6 different sweet varieties of count 32,216,136,184,120 were ordered for a particular occasion. they need to be packed in such a way that each box has the same variety of sweets and the number of sweets in each box is also the same. what is the minimum number of boxes required to pack? defined & explained in the simplest way possible. Besides giving the explanation of 6 different sweet varieties of count 32,216,136,184,120 were ordered for a particular occasion. they need to be packed in such a way that each box has the same variety of sweets and the number of sweets in each box is also the same. what is the minimum number of boxes required to pack?, a detailed solution for 6 different sweet varieties of count 32,216,136,184,120 were ordered for a particular occasion. they need to be packed in such a way that each box has the same variety of sweets and the number of sweets in each box is also the same. what is the minimum number of boxes required to pack? has been provided alongside types of 6 different sweet varieties of count 32,216,136,184,120 were ordered for a particular occasion. they need to be packed in such a way that each box has the same variety of sweets and the number of sweets in each box is also the same. what is the minimum number of boxes required to pack? theory, EduRev gives you an ample number of questions to practice 6 different sweet varieties of count 32,216,136,184,120 were ordered for a particular occasion. they need to be packed in such a way that each box has the same variety of sweets and the number of sweets in each box is also the same. what is the minimum number of boxes required to pack? tests, examples and also practice UPSC tests.
Explore Courses for UPSC exam

Top Courses for UPSC

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