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Refer to the data below and answer the questions that follow.
Anoop was writing the reading comprehension sections in Lhe DOG entrance examinations, There were four passages of exactly equal length in terms of number of words and die four passages had 5, 8, 8 and 6 questions following each of them respectively. It is known that Anoop can answer exactly 12 questions in the time he takes to read any one of the four passages. Assume that his rate of reading and answering questions remains the same throughout the section.
Q.
By what per cent should Anoop increase his reading speed if he has to cut down on his total time spent on the section by 20%? Assume that the time spent on answering the questions is constant and as given in the directions.
- a)36.36%
- b)54.54%
- c)50.50%
- d)45.45%
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Refer to the data below and answer the questions that follow.Anoop was...
To solve this problem, let's first find out the total time Anoop takes to read all four passages and answer all the questions.
Let the time he takes to read one passage be T. Since there are four passages, he takes 4T time to read all the passages. It is given that he can answer 12 questions in the time he takes to read one passage. So, the time he takes to answer one question is T/12.
There are a total of 5+8+8+6 = 27 questions. The time he takes to answer all the questions is 27 * (T/12) = 27T/12 = 9T/4.
Now, the total time spent on the section is the sum of the time spent on reading all the passages and answering all the questions: 4T + 9T/4 = 25T/4.
To cut down on his total time spent on the section by 20%, the new total time should be 80% of the original time, which is 0.8 * (25T/4) = 5T.
Since the time spent on answering the questions remains constant, the time spent on reading should reduce to 5T - 9T/4 = 11T/4. The new time he takes to read one passage is (11T/4) / 4 = 11T/16.
Now, let's find out the percentage increase in reading speed. The original time to read one passage is T, and the new time is 11T/16. Since speed is inversely proportional to time, the new speed will be 16/11 times the original speed.
The percentage increase in speed is [(16/11 - 1) * 100] = [(5/11) * 100] = 45.45%.
So, Anoop should increase his reading speed by 45.45% to cut down on his total time spent on the section by 20%.
Let the time he takes to read one passage be T. Since there are four passages, he takes 4T time to read all the passages. It is given that he can answer 12 questions in the time he takes to read one passage. So, the time he takes to answer one question is T/12.
There are a total of 5+8+8+6 = 27 questions. The time he takes to answer all the questions is 27 * (T/12) = 27T/12 = 9T/4.
Now, the total time spent on the section is the sum of the time spent on reading all the passages and answering all the questions: 4T + 9T/4 = 25T/4.
To cut down on his total time spent on the section by 20%, the new total time should be 80% of the original time, which is 0.8 * (25T/4) = 5T.
Since the time spent on answering the questions remains constant, the time spent on reading should reduce to 5T - 9T/4 = 11T/4. The new time he takes to read one passage is (11T/4) / 4 = 11T/16.
Now, let's find out the percentage increase in reading speed. The original time to read one passage is T, and the new time is 11T/16. Since speed is inversely proportional to time, the new speed will be 16/11 times the original speed.
The percentage increase in speed is [(16/11 - 1) * 100] = [(5/11) * 100] = 45.45%.
So, Anoop should increase his reading speed by 45.45% to cut down on his total time spent on the section by 20%.
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Refer to the data below and answer the questions that follow.Anoop was...
Question category: Quant
Given data:
- Four passages with equal length in terms of number of words
- Number of questions following each passage: 5, 8, 8, 6
- Anoop can answer exactly 12 questions in the time he takes to read any one of the four passages
- Anoop's rate of reading and answering questions remains constant throughout the section
To find: By what percentage should Anoop increase his reading speed if he has to cut down on his total time spent on the section by 20%?
Solution:
Let's assume that Anoop takes 't' time to read one passage and answer the questions related to it. Then, the time taken by Anoop to read and answer the questions for all four passages would be:
Total time taken = 4t
As per the given data, Anoop can answer exactly 12 questions in the time he takes to read any one of the four passages. Therefore, he answers 3 questions per unit time. Let's assume that Anoop reads 'w' words per unit time. Then, the number of words in each passage can be calculated as:
Number of words = (Number of questions) * (3) / (w)
Using this formula, we can calculate the number of words in each passage:
- Passage 1: (5 * 3) / w
- Passage 2: (8 * 3) / w
- Passage 3: (8 * 3) / w
- Passage 4: (6 * 3) / w
Since all passages have equal length, we can equate them:
(5 * 3) / w = (8 * 3) / w = (8 * 3) / w = (6 * 3) / w
Solving this equation, we get:
w = 15/2
Therefore, Anoop reads 15/2 words per unit time and answers 3 questions per unit time.
Now, we need to cut down on the total time spent by Anoop on the section by 20%. This means the new total time taken would be:
New total time = 0.8 * (4t) = 3.2t
To find the new speed at which Anoop should read, we can use the formula:
New speed = (Total words) / (New total time)
Total words = Sum of words in all four passages
Total words = (5 * 15/2) + (8 * 15/2) + (8 * 15/2) + (6 * 15/2) = 135
Substituting the values, we get:
New speed = 135 / 3.2t
The percentage increase in speed can be calculated as:
Percentage increase = (New speed - Old speed) / (Old speed) * 100
Old speed = 15/2
Substituting the values, we get:
Percentage increase = (135 / 3.2t - 15/2) / (15/2) * 100
Percentage increase = 45.45%
Therefore, Anoop should increase his reading speed by 45.45% to cut down on his total time spent on the section by 20%.
Given data:
- Four passages with equal length in terms of number of words
- Number of questions following each passage: 5, 8, 8, 6
- Anoop can answer exactly 12 questions in the time he takes to read any one of the four passages
- Anoop's rate of reading and answering questions remains constant throughout the section
To find: By what percentage should Anoop increase his reading speed if he has to cut down on his total time spent on the section by 20%?
Solution:
Let's assume that Anoop takes 't' time to read one passage and answer the questions related to it. Then, the time taken by Anoop to read and answer the questions for all four passages would be:
Total time taken = 4t
As per the given data, Anoop can answer exactly 12 questions in the time he takes to read any one of the four passages. Therefore, he answers 3 questions per unit time. Let's assume that Anoop reads 'w' words per unit time. Then, the number of words in each passage can be calculated as:
Number of words = (Number of questions) * (3) / (w)
Using this formula, we can calculate the number of words in each passage:
- Passage 1: (5 * 3) / w
- Passage 2: (8 * 3) / w
- Passage 3: (8 * 3) / w
- Passage 4: (6 * 3) / w
Since all passages have equal length, we can equate them:
(5 * 3) / w = (8 * 3) / w = (8 * 3) / w = (6 * 3) / w
Solving this equation, we get:
w = 15/2
Therefore, Anoop reads 15/2 words per unit time and answers 3 questions per unit time.
Now, we need to cut down on the total time spent by Anoop on the section by 20%. This means the new total time taken would be:
New total time = 0.8 * (4t) = 3.2t
To find the new speed at which Anoop should read, we can use the formula:
New speed = (Total words) / (New total time)
Total words = Sum of words in all four passages
Total words = (5 * 15/2) + (8 * 15/2) + (8 * 15/2) + (6 * 15/2) = 135
Substituting the values, we get:
New speed = 135 / 3.2t
The percentage increase in speed can be calculated as:
Percentage increase = (New speed - Old speed) / (Old speed) * 100
Old speed = 15/2
Substituting the values, we get:
Percentage increase = (135 / 3.2t - 15/2) / (15/2) * 100
Percentage increase = 45.45%
Therefore, Anoop should increase his reading speed by 45.45% to cut down on his total time spent on the section by 20%.
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Refer to the data below and answer the questions that follow.Anoop was writing the reading comprehension sections in Lhe DOG entrance examinations, There were four passages of exactly equal length in terms of number of words and die four passages had 5, 8, 8 and 6 questions following each of them respectively. It is known that Anoop can answer exactly 12 questions in the time he takes to read any one of the four passages. Assume that his rate of reading and answering questions remains the same throughout the section.Q.By what per cent should Anoop increase his reading speed if he has to cut down on his total time spent on the section by 20%? Assume that the time spent onanswering the questions is constant and as given in the directions.a)36.36%b)54.54%c)50.50%d)45.45%Correct answer is option 'D'. Can you explain this answer?
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Refer to the data below and answer the questions that follow.Anoop was writing the reading comprehension sections in Lhe DOG entrance examinations, There were four passages of exactly equal length in terms of number of words and die four passages had 5, 8, 8 and 6 questions following each of them respectively. It is known that Anoop can answer exactly 12 questions in the time he takes to read any one of the four passages. Assume that his rate of reading and answering questions remains the same throughout the section.Q.By what per cent should Anoop increase his reading speed if he has to cut down on his total time spent on the section by 20%? Assume that the time spent onanswering the questions is constant and as given in the directions.a)36.36%b)54.54%c)50.50%d)45.45%Correct answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Refer to the data below and answer the questions that follow.Anoop was writing the reading comprehension sections in Lhe DOG entrance examinations, There were four passages of exactly equal length in terms of number of words and die four passages had 5, 8, 8 and 6 questions following each of them respectively. It is known that Anoop can answer exactly 12 questions in the time he takes to read any one of the four passages. Assume that his rate of reading and answering questions remains the same throughout the section.Q.By what per cent should Anoop increase his reading speed if he has to cut down on his total time spent on the section by 20%? Assume that the time spent onanswering the questions is constant and as given in the directions.a)36.36%b)54.54%c)50.50%d)45.45%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Refer to the data below and answer the questions that follow.Anoop was writing the reading comprehension sections in Lhe DOG entrance examinations, There were four passages of exactly equal length in terms of number of words and die four passages had 5, 8, 8 and 6 questions following each of them respectively. It is known that Anoop can answer exactly 12 questions in the time he takes to read any one of the four passages. Assume that his rate of reading and answering questions remains the same throughout the section.Q.By what per cent should Anoop increase his reading speed if he has to cut down on his total time spent on the section by 20%? Assume that the time spent onanswering the questions is constant and as given in the directions.a)36.36%b)54.54%c)50.50%d)45.45%Correct answer is option 'D'. Can you explain this answer?.
Refer to the data below and answer the questions that follow.Anoop was writing the reading comprehension sections in Lhe DOG entrance examinations, There were four passages of exactly equal length in terms of number of words and die four passages had 5, 8, 8 and 6 questions following each of them respectively. It is known that Anoop can answer exactly 12 questions in the time he takes to read any one of the four passages. Assume that his rate of reading and answering questions remains the same throughout the section.Q.By what per cent should Anoop increase his reading speed if he has to cut down on his total time spent on the section by 20%? Assume that the time spent onanswering the questions is constant and as given in the directions.a)36.36%b)54.54%c)50.50%d)45.45%Correct answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Refer to the data below and answer the questions that follow.Anoop was writing the reading comprehension sections in Lhe DOG entrance examinations, There were four passages of exactly equal length in terms of number of words and die four passages had 5, 8, 8 and 6 questions following each of them respectively. It is known that Anoop can answer exactly 12 questions in the time he takes to read any one of the four passages. Assume that his rate of reading and answering questions remains the same throughout the section.Q.By what per cent should Anoop increase his reading speed if he has to cut down on his total time spent on the section by 20%? Assume that the time spent onanswering the questions is constant and as given in the directions.a)36.36%b)54.54%c)50.50%d)45.45%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Refer to the data below and answer the questions that follow.Anoop was writing the reading comprehension sections in Lhe DOG entrance examinations, There were four passages of exactly equal length in terms of number of words and die four passages had 5, 8, 8 and 6 questions following each of them respectively. It is known that Anoop can answer exactly 12 questions in the time he takes to read any one of the four passages. Assume that his rate of reading and answering questions remains the same throughout the section.Q.By what per cent should Anoop increase his reading speed if he has to cut down on his total time spent on the section by 20%? Assume that the time spent onanswering the questions is constant and as given in the directions.a)36.36%b)54.54%c)50.50%d)45.45%Correct answer is option 'D'. Can you explain this answer?.
Solutions for Refer to the data below and answer the questions that follow.Anoop was writing the reading comprehension sections in Lhe DOG entrance examinations, There were four passages of exactly equal length in terms of number of words and die four passages had 5, 8, 8 and 6 questions following each of them respectively. It is known that Anoop can answer exactly 12 questions in the time he takes to read any one of the four passages. Assume that his rate of reading and answering questions remains the same throughout the section.Q.By what per cent should Anoop increase his reading speed if he has to cut down on his total time spent on the section by 20%? Assume that the time spent onanswering the questions is constant and as given in the directions.a)36.36%b)54.54%c)50.50%d)45.45%Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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Refer to the data below and answer the questions that follow.Anoop was writing the reading comprehension sections in Lhe DOG entrance examinations, There were four passages of exactly equal length in terms of number of words and die four passages had 5, 8, 8 and 6 questions following each of them respectively. It is known that Anoop can answer exactly 12 questions in the time he takes to read any one of the four passages. Assume that his rate of reading and answering questions remains the same throughout the section.Q.By what per cent should Anoop increase his reading speed if he has to cut down on his total time spent on the section by 20%? Assume that the time spent onanswering the questions is constant and as given in the directions.a)36.36%b)54.54%c)50.50%d)45.45%Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Refer to the data below and answer the questions that follow.Anoop was writing the reading comprehension sections in Lhe DOG entrance examinations, There were four passages of exactly equal length in terms of number of words and die four passages had 5, 8, 8 and 6 questions following each of them respectively. It is known that Anoop can answer exactly 12 questions in the time he takes to read any one of the four passages. Assume that his rate of reading and answering questions remains the same throughout the section.Q.By what per cent should Anoop increase his reading speed if he has to cut down on his total time spent on the section by 20%? Assume that the time spent onanswering the questions is constant and as given in the directions.a)36.36%b)54.54%c)50.50%d)45.45%Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Refer to the data below and answer the questions that follow.Anoop was writing the reading comprehension sections in Lhe DOG entrance examinations, There were four passages of exactly equal length in terms of number of words and die four passages had 5, 8, 8 and 6 questions following each of them respectively. It is known that Anoop can answer exactly 12 questions in the time he takes to read any one of the four passages. Assume that his rate of reading and answering questions remains the same throughout the section.Q.By what per cent should Anoop increase his reading speed if he has to cut down on his total time spent on the section by 20%? Assume that the time spent onanswering the questions is constant and as given in the directions.a)36.36%b)54.54%c)50.50%d)45.45%Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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