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Directions: Study the table carefully and answer the given question.
The following table shows the number of students in different engineering departments at seven IITs. Some of the data is missing from the table.
The above table is given for year 2014. In 2015, the intake of Mechanical Engineering at all the IITs together was increased by 10%, intake of Mineral Engineering was increased by 10% and intake of Chemical Engineering was increased by 8%. The intake of other departments remained the same as that of previous year.
Q. What was the ratio of the total number of students in Mechanical Engineering at IIT Delhi and IIT Roorkee in 2014, if the total number of students in Mechanical Engineering at all the IITs in 2014 was 50% more than the total number of students at IIT Delhi in 2015 and IIT Delhi had 29 students more in Mechanical Engineering as compared to Mechanical students at IIT Roorkee in 2014?
  • a)
    117 : 125
  • b)
    119 : 223
  • c)
    109 : 112
  • d)
    140 : 111
  • e)
    43 : 37
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Directions: Study the table carefully and answer the given question.Th...
Suppose the total numbers of Mechanical Engineering students at IIT Delhi and IIT Roorkee in 2014 are y and z, respectively.
So, y - z = 29 ...(1)
Then, total number of students at IIT Delhi in 2014 = y + 174 + 225 + 95 + 80 = y + 574
And total number of students at IIT Delhi in 2015 = 1.1y + 174 + 225  1.08 + 95 + 80  1.1
= 1.1y + 174 + 243 + 95 + 88 = 1.1y + 600 ...(2)
Total number of Mechanical Engineering students at all the seven IITs in 2014 = y + z + 100 + 150
+ 220 + 190 + 220 = y + z  + 880 ...(3)
Then, from equations (2) and (3),
1.5(1.1y + 600) = y + z + 880
⇒ 1.65y + 900 = y + z + 880 
⇒ 0.65y - z = -20
⇒ 0.65y - y + 29 = -20 (from equation 1)
⇒ - 0.35y = -49
⇒ y = 140 and z = 111
Hence, ratio of the total number of students in Mechanical Engineering at IIT Delhi and IIT Roorkee in 2014 = 140 : 111
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Directions: Study the table carefully and answer the given question.The following table shows the number of students in different engineering departments at seven IITs. Some of the data is missing from the table.The above table is given for year 2014. In 2015, the intake of Mechanical Engineering at all the IITs together was increased by 10%, intake of Mineral Engineering was increased by 10% and intake of Chemical Engineering was increased by 8%. The intake of other departments remained the same as that of previous year.Q.What was the ratio of the total number of students in Mechanical Engineering at IIT Delhi and IIT Roorkee in 2014, if the total number of students in Mechanical Engineering at all the IITs in 2014 was 50% more than the total number of students at IIT Delhi in 2015 and IIT Delhi had 29 students more in Mechanical Engineering as compared to Mechanical students at IIT Roorkee in 2014?a)117 : 125b)119 : 223c)109 : 112d)140 : 111e)43 : 37Correct answer is option 'D'. Can you explain this answer?
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Directions: Study the table carefully and answer the given question.The following table shows the number of students in different engineering departments at seven IITs. Some of the data is missing from the table.The above table is given for year 2014. In 2015, the intake of Mechanical Engineering at all the IITs together was increased by 10%, intake of Mineral Engineering was increased by 10% and intake of Chemical Engineering was increased by 8%. The intake of other departments remained the same as that of previous year.Q.What was the ratio of the total number of students in Mechanical Engineering at IIT Delhi and IIT Roorkee in 2014, if the total number of students in Mechanical Engineering at all the IITs in 2014 was 50% more than the total number of students at IIT Delhi in 2015 and IIT Delhi had 29 students more in Mechanical Engineering as compared to Mechanical students at IIT Roorkee in 2014?a)117 : 125b)119 : 223c)109 : 112d)140 : 111e)43 : 37Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions: Study the table carefully and answer the given question.The following table shows the number of students in different engineering departments at seven IITs. Some of the data is missing from the table.The above table is given for year 2014. In 2015, the intake of Mechanical Engineering at all the IITs together was increased by 10%, intake of Mineral Engineering was increased by 10% and intake of Chemical Engineering was increased by 8%. The intake of other departments remained the same as that of previous year.Q.What was the ratio of the total number of students in Mechanical Engineering at IIT Delhi and IIT Roorkee in 2014, if the total number of students in Mechanical Engineering at all the IITs in 2014 was 50% more than the total number of students at IIT Delhi in 2015 and IIT Delhi had 29 students more in Mechanical Engineering as compared to Mechanical students at IIT Roorkee in 2014?a)117 : 125b)119 : 223c)109 : 112d)140 : 111e)43 : 37Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Study the table carefully and answer the given question.The following table shows the number of students in different engineering departments at seven IITs. Some of the data is missing from the table.The above table is given for year 2014. In 2015, the intake of Mechanical Engineering at all the IITs together was increased by 10%, intake of Mineral Engineering was increased by 10% and intake of Chemical Engineering was increased by 8%. The intake of other departments remained the same as that of previous year.Q.What was the ratio of the total number of students in Mechanical Engineering at IIT Delhi and IIT Roorkee in 2014, if the total number of students in Mechanical Engineering at all the IITs in 2014 was 50% more than the total number of students at IIT Delhi in 2015 and IIT Delhi had 29 students more in Mechanical Engineering as compared to Mechanical students at IIT Roorkee in 2014?a)117 : 125b)119 : 223c)109 : 112d)140 : 111e)43 : 37Correct answer is option 'D'. Can you explain this answer?.
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The intake of other departments remained the same as that of previous year.Q.What was the ratio of the total number of students in Mechanical Engineering at IIT Delhi and IIT Roorkee in 2014, if the total number of students in Mechanical Engineering at all the IITs in 2014 was 50% more than the total number of students at IIT Delhi in 2015 and IIT Delhi had 29 students more in Mechanical Engineering as compared to Mechanical students at IIT Roorkee in 2014?a)117 : 125b)119 : 223c)109 : 112d)140 : 111e)43 : 37Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Directions: Study the table carefully and answer the given question.The following table shows the number of students in different engineering departments at seven IITs. Some of the data is missing from the table.The above table is given for year 2014. In 2015, the intake of Mechanical Engineering at all the IITs together was increased by 10%, intake of Mineral Engineering was increased by 10% and intake of Chemical Engineering was increased by 8%. The intake of other departments remained the same as that of previous year.Q.What was the ratio of the total number of students in Mechanical Engineering at IIT Delhi and IIT Roorkee in 2014, if the total number of students in Mechanical Engineering at all the IITs in 2014 was 50% more than the total number of students at IIT Delhi in 2015 and IIT Delhi had 29 students more in Mechanical Engineering as compared to Mechanical students at IIT Roorkee in 2014?a)117 : 125b)119 : 223c)109 : 112d)140 : 111e)43 : 37Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Directions: Study the table carefully and answer the given question.The following table shows the number of students in different engineering departments at seven IITs. Some of the data is missing from the table.The above table is given for year 2014. In 2015, the intake of Mechanical Engineering at all the IITs together was increased by 10%, intake of Mineral Engineering was increased by 10% and intake of Chemical Engineering was increased by 8%. The intake of other departments remained the same as that of previous year.Q.What was the ratio of the total number of students in Mechanical Engineering at IIT Delhi and IIT Roorkee in 2014, if the total number of students in Mechanical Engineering at all the IITs in 2014 was 50% more than the total number of students at IIT Delhi in 2015 and IIT Delhi had 29 students more in Mechanical Engineering as compared to Mechanical students at IIT Roorkee in 2014?a)117 : 125b)119 : 223c)109 : 112d)140 : 111e)43 : 37Correct answer is option 'D'. 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The intake of other departments remained the same as that of previous year.Q.What was the ratio of the total number of students in Mechanical Engineering at IIT Delhi and IIT Roorkee in 2014, if the total number of students in Mechanical Engineering at all the IITs in 2014 was 50% more than the total number of students at IIT Delhi in 2015 and IIT Delhi had 29 students more in Mechanical Engineering as compared to Mechanical students at IIT Roorkee in 2014?a)117 : 125b)119 : 223c)109 : 112d)140 : 111e)43 : 37Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Directions: Study the table carefully and answer the given question.The following table shows the number of students in different engineering departments at seven IITs. Some of the data is missing from the table.The above table is given for year 2014. In 2015, the intake of Mechanical Engineering at all the IITs together was increased by 10%, intake of Mineral Engineering was increased by 10% and intake of Chemical Engineering was increased by 8%. The intake of other departments remained the same as that of previous year.Q.What was the ratio of the total number of students in Mechanical Engineering at IIT Delhi and IIT Roorkee in 2014, if the total number of students in Mechanical Engineering at all the IITs in 2014 was 50% more than the total number of students at IIT Delhi in 2015 and IIT Delhi had 29 students more in Mechanical Engineering as compared to Mechanical students at IIT Roorkee in 2014?a)117 : 125b)119 : 223c)109 : 112d)140 : 111e)43 : 37Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
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