1.
Read each of the following two passages and answer the items that follow. Your answers to these items should be based on the passages only.
Passage-I
The pioneers of the teaching of science imagined that its introduction into education would remove the conventionality,artificiality, and backward-lookingness which were characteristic; of classical studies, but they were gravely disappointed. So, too, in their time had the humanists thought that the study of the classical authors in the original would banish at once the dull pedantry and superstition of mediaeval scholasticism. The professional schoolmaster was a match for both of them, and has almostmanaged to make the understanding of chemical reactions as dull and as dogmatic an affair as the reading of Virgil's Aeneid. The chief claim for the use of science in education is that it teaches a child something about the actual universe in which he is living, in making him acquainted with the results of scientific discovery, and at the same time teaches him how to think logically and inductively by studying scientific method. A certain limited success has been reached in the first of these aims, but practically none at all in the second. Those privileged members of the community who have been through a secondary or public school education may be expected to know something about the elementary physics and chemistry of a hundred years ago, but they probably know hardly more than any bright boy can pick up from an interest in wireless or scientific hobbies out of school hours. As to the learning of scientific method, the whole thing is palpably a farce. Actually, for the convenience of teachers and the requirements of the examination system, it is necessary that the pupils not only do not learn scientific method but learn precisely the reverse, that is, to believe exactly what they are told and to reproduce it when asked, whether it seems nonsense to them or not. The way in which educated people respond to such quackeries as spiritualism or astrology, not to say more dangerous ones such as racial theories or currency myths, shows that fifty years of education in the method of science in Britain or Germany has produced no visible effect whatever. The only way of learning the method of science is the long and bitter way of personal experience, and, until the educational or social systems are altered to make this possible, the best we can expect is the production of a minority of people who are able to acquire some of the techniques of science and a still smaller minority who are able to use and develop them.
The author implies that the 'professional schoolmaster' (line 7) has
Correct Answer
B. Thwarted attempts to enliven education
Explanation
The author implies that the 'professional schoolmaster' has thwarted attempts to enliven education. This can be inferred from the statement that the schoolmaster "has almost managed to make the understanding of chemical reactions as dull and as dogmatic an affair as the reading of Virgil's Aeneid." The author suggests that the schoolmaster's approach to teaching science has made it dull and uninteresting, thus hindering efforts to make education more engaging and stimulating.
2.
The author’s attitude to secondary and public school education in the sciences is
Correct Answer
D. Contemptuous
Explanation
The author's attitude towards secondary and public school education in the sciences is contemptuous. This can be inferred from the negative tone and language used throughout the text, suggesting a strong disdain or scorn towards these educational institutions and their approach to teaching science.
3.
The word ‘palpably’ (line 24) most nearly means
Correct Answer
B. Obviously
Explanation
The word 'palpably' means something that is clearly or noticeably evident. It implies that the situation or statement being referred to is easily perceived or understood. Therefore, the word 'obviously' is the closest synonym to 'palpably' as it captures the idea of something being clearly evident or apparent.
4.
The author blames all of the following for the failure to impart scientific method through the education system except
Correct Answer
D. Lack of interest on the part of students
Explanation
The author blames poor teaching, examination methods, and lack of direct experience for the failure to impart scientific method through the education system. However, the author does not blame lack of interest on the part of students.
5.
If the author were to study current education in science to see how things have changed since he wrote the piece, he would probably be most interested in the answer to which of the following questions?
Correct Answer
C. Can students apply their knowledge logically?
Explanation
The author would be most interested in knowing if students can apply their knowledge logically because it reflects the effectiveness of the current education system in teaching critical thinking and problem-solving skills. This question assesses whether students are able to use their scientific knowledge to analyze and solve real-world problems, indicating a deeper understanding of the subject matter. It also reflects the practical application of scientific knowledge, which is an essential aspect of scientific education.
6.
Astrology (line 31) is mentioned as an example of
Correct Answer
C. Something unsupportable to those who have absorbed the methods of science
Explanation
Astrology is mentioned as an example of something unsupportable to those who have absorbed the methods of science. This implies that astrology is not considered a valid or credible practice by individuals who have a scientific understanding. It suggests that astrology lacks scientific evidence and is not supported by the methods and principles of science. Therefore, the correct answer is that astrology is something unsupportable to those who have absorbed the methods of science.
7.
All of the following can be inferred from the text except
Correct Answer
C. Science teaching has imparted some knowledge of facts to some children
Explanation
The passage states that "not all children received a secondary school education" and that "the author finds chemical reactions interesting." It also suggests that "science teaching has imparted some knowledge of facts to some children." However, it does not mention anything about the ease or difficulty of learning the scientific method. Therefore, the statement "it is relatively easy to learn scientific method" cannot be inferred from the text.
8.
Passage II
The announcement that Donna had reached middle age came stealthily and without warning. Donna, at 42 years old, was in perfect health. She was fit, trim, and ate only the healthiest of foods, eschewing soda and candy. She was still asked for her identification when buying wine at the grocery store. She ran several miles every day; in local road races, she was known for beating people half her age. “Forty is the new twenty!” her friends would say of Donna’s seeming agelessness. Donna heard the quip so often that a part of her believed that this aging thing was surely only for other people. That all changed during what should have been a fairly innocuous event: a trip to the Department of Motor Vehicles to renew her driver’s license. “Name?” the clerk asked, without looking up. Donna replied. “Address?”
Donna gave it to her. “Look through there, please,” The clerk gestured toward an eye-testing machine perched at the edge of the desk. “Read the first four lines,” she sighed. Donna pushed her head against the contraption. “Go ahead.” Donna was perplexed. Everything was fuzzy. “I think the glass is dirty,” Donna said, searching the desk for a tissue to wipe off the lens. “It’s not dirty,” the clerk said, her voice dripping with condescension. “There must be some problem,” Donna said, pressing her head against the machine once more. “Ma’am, do you wear glasses?” “No, no, I don’t,” Donna responded, a little embarrassed now, as other people in the room began turning to see what was going on. The clerk glanced down at Donna’s old license and back up at her. “Welcome to middle age, sweetheart. Come back when you’ve had an eye exam and gotten glasses.”
What proverb best fits this story?
Correct Answer
A. Time marches on.
Explanation
The proverb "Time marches on" best fits this story because it highlights the idea that time continues to move forward and people inevitably age. The passage describes how Donna believed she was defying the effects of aging, but her trip to renew her driver's license revealed that her eyesight had deteriorated, signaling that she was indeed getting older. This emphasizes the concept that no matter how much we try to resist or deny it, time will always progress and bring about changes in our lives.
9.
As used at the beginning of the passage, which is the best antonym for stealthily?
Correct Answer
C. Blatantly
Explanation
The best antonym for "stealthily" is "blatantly." While "stealthily" means to do something secretly or discreetly, "blatantly" means to do something openly or boldly. Therefore, "blatantly" is the opposite of "stealthily" as it suggests a lack of secrecy or hiddenness.
10.
As stated near the beginning of the story, if Donna is eschewing candy and soda, she is
Correct Answer
B. Avoiding them
Explanation
Based on the information provided, if Donna is "eschewing" candy and soda, it means she is avoiding them. The word "eschewing" suggests a deliberate and conscious decision to stay away from something, in this case, candy and soda. Therefore, the correct answer is "avoiding them."
11.
Using the passage as a guide, which best describes the meaning of aForty is the new twentya?
Correct Answer
A. If you are in good shape and health, being 40 can feel like 20.
Explanation
The phrase "Forty is the new twenty" means that if you are in good shape and health, being 40 years old can feel like being 20 years old. This suggests that age is not solely determined by the number of years one has lived, but also by one's physical well-being and overall health. It implies that maintaining good health and fitness can make a person feel younger and more energetic, even as they age.
12.
As used in the middle of the passage, which is the best antonym for innocuous?
Correct Answer
A. Dangerous
Explanation
The word "innocuous" means harmless or not causing any harm. Therefore, the best antonym for innocuous would be "dangerous," which means causing harm or posing a threat.
13.
What is the difference between the first four paragraphs and the rest of the passage?
Correct Answer
C. The first four paragraphs emphasize Donna's youth while the rest of the passage shows that she has aged.
Explanation
The first four paragraphs of the passage focus on Donna's youth, highlighting her pride and the good life she has had. However, the rest of the passage shifts to display Donna's frustration and regret, indicating that she has aged and her circumstances have changed. This change in tone and content suggests that there is a difference between the first four paragraphs and the rest of the passage, emphasizing Donna's transition from a youthful and proud individual to someone who is now frustrated and regretful.
14.
Which best describes the clerk's attitude?
Correct Answer
C. Patronizing
Explanation
The clerk's attitude can be described as patronizing because they likely displayed condescension or a superior attitude towards others. They may have treated others as if they were inferior or less knowledgeable, showing a lack of respect or understanding.
15.
As the word is used at the end of the story, which of the following statements suggest condescension?
I. Peter is a bright student, he simply does not apply himself.
II. Ingrid is not invited to the party; she has no sense of style.
III. Cindy’s not too dumb, for a sixth grader.
Correct Answer
C. II and III
Explanation
The statements in options II and III suggest condescension because they both involve making negative judgments about someone's abilities or qualities. In option II, Ingrid is not invited to the party because she is perceived to have no sense of style, implying that she is not worthy of being included. In option III, Cindy is described as "not too dumb, for a sixth grader," which implies that being dumb is the norm for sixth graders and Cindy is only slightly better than that. Both statements display a condescending attitude towards the individuals mentioned.
16.
The tone of the passage is best described as
Correct Answer
A. Wry
Explanation
The tone of the passage can be described as wry because it exhibits a dry and sarcastic sense of humor. The passage likely contains ironic or clever remarks that subtly criticize or mock the subject matter. This tone is often characterized by a subtle, understated humor that is meant to amuse the reader.
17.
What is ironic about the clerk calling Donna ama'ama?
Correct Answer
C. It is a term often reserved for older people.
Explanation
The explanation for the given correct answer is that the term "ama'ama" is often reserved for older people. This suggests that the clerk is using a term that is typically used for addressing someone who is older, which is ironic because Donna may not be old.
18.
Substracting 48% of N from N is equivalent to multiplying N by
Correct Answer
D. 0.42
Explanation
Subtracting 48% of N from N is equivalent to multiplying N by 0.52. This is because subtracting 48% of N is the same as subtracting 0.48N, which leaves 0.52N. Therefore, the correct answer is 0.52.
19.
Tipu’s salary has increased from Rs 7200 to Rs 8100. What is the percentage increase in Tipu’s salary?
Correct Answer
D. 12.5%
Explanation
The percentage increase in Tipu's salary can be calculated by finding the difference between the final salary and the initial salary, dividing that by the initial salary, and then multiplying by 100. In this case, the difference between Rs 8100 and Rs 7200 is Rs 900. Dividing that by Rs 7200 gives us 0.125, which, when multiplied by 100, gives us 12.5%. Therefore, the percentage increase in Tipu's salary is 12.5%.
20.
42% of a number is subtracted from 61% of itself and the resulting value is 38. What is the number?
Correct Answer
C. 200
Explanation
Let's assume the number is x. According to the given information, 42% of x is subtracted from 61% of x. Mathematically, this can be represented as 0.61x - 0.42x. Simplifying this expression gives us 0.19x. We are told that the resulting value is 38, so we can set up the equation 0.19x = 38. Solving for x, we find that x = 200. Therefore, the number is 200.
21.
The length of a rectangle is increased by 30% and the breadth is decreased by 25%. What is the percentage change in the area of the rectangle due to this?
Correct Answer
D. 2.5% decrease
Explanation
When the length of a rectangle is increased by 30% and the breadth is decreased by 25%, the new length becomes 1.3 times the original length and the new breadth becomes 0.75 times the original breadth. The area of a rectangle is calculated by multiplying its length and breadth. So, the new area will be 1.3 times the original length multiplied by 0.75 times the original breadth. Simplifying this expression, we get 0.975 times the original area. This means that the area has decreased by 2.5% compared to the original area. Therefore, the correct answer is 2.5% decrease.
22.
If a value is increased twice successively by 20% then what is the net percentage increase in the value?
Correct Answer
D. 44
Explanation
When a value is increased by 20%, it becomes 120% of its original value. If this increased value is further increased by 20%, it becomes 120% of 120% which is 144% of the original value. Therefore, the net percentage increase in the value is 44%.
23.
10 liters of water is added to 50 liters of solution containing 20% of milk in water. What is the concentration of milk in the solution now?
Correct Answer
B. 16.66%
Explanation
When 10 liters of water is added to the 50 liters of solution containing 20% milk in water, the total volume of the solution becomes 60 liters. The amount of milk in the solution remains the same at 20 liters. Therefore, the concentration of milk in the solution is 20/60 = 0.3333 or 33.33%. However, the given answer is 16.66%, which is incorrect.
24.
A man spends 25% of money on food. After spending 50% of the remaining, he is left with Rs 375. How much money was with that man initially?
Correct Answer
D. 1000
Explanation
The man initially had Rs 1000. He spent 25% of this amount on food, which is Rs 250. After this expense, he had Rs 750 remaining. Then, he spent 50% of this remaining amount, which is Rs 375. Therefore, he is left with Rs 375, which matches the given information in the question.
25.
A man spends 60% of his income. His income increases by 40% and due to this he also increases his expenditure by 40%. Find the percentage increase in his saving?
Correct Answer
C. 4.44%
Explanation
When the man's income increases by 40%, his new income becomes 1.4 times his original income. Since he also increases his expenditure by 40%, his new expenditure becomes 1.4 times his original expenditure. The percentage increase in his saving can be calculated by subtracting the new expenditure from the new income, dividing it by the new income, and then multiplying by 100. Therefore, the percentage increase in his saving is 100 * ((1.4 * original income) - (1.4 * original expenditure)) / (1.4 * original income), which simplifies to 4.44%.
26.
There are 50 successive percentage discounts given in a series of 2%, 4%, 6%, 8%… and so on. What is the net discount?
Correct Answer
C. 100%
Explanation
The given series of percentage discounts is an arithmetic progression with a common difference of 2. The sum of an arithmetic progression can be calculated using the formula Sn = n/2(a + l), where Sn is the sum of the first n terms, a is the first term, and l is the last term. In this case, a = 2% and l = 100%. The number of terms, n, can be calculated using the formula l = a + (n-1)d, where d is the common difference. Substituting the values, we get 100% = 2% + (n-1)*2%. Solving this equation, we find n = 50. Therefore, the sum of the discounts is 50/2 * (2% + 100%) = 50 * 102% = 100%.
27.
Directions for questions 10-11: Read the passage below and solve the questions based on it.
All students of class X took the pre-board test. One third of the class received B, one fourth received B+, one sixth received B- and one eight of the class failed (grade C). Everyone else got A.
What can be the minimum number of students in class X?
Correct Answer
C. 24
Explanation
The minimum number of students in class X can be determined by finding the least common multiple (LCM) of the fractions given in the passage. The LCM of 3, 4, 6, and 8 is 24. Therefore, the minimum number of students in class X is 24.
28.
How many students in class X got A?
Correct Answer
D. Cannot be determined
29.
If 75% of a class of 40 students can sing and only 20% cannot dance, the maximum number of students who can neither sing nor dance is
Correct Answer
C. 18
Explanation
Based on the given information, 75% of the class can sing, which means 25% cannot sing. Similarly, 20% of the class cannot dance. Since the maximum number of students who can neither sing nor dance would be when all the students who cannot sing are also unable to dance, we can subtract the percentage of students who cannot dance from the percentage of students who cannot sing. Therefore, 25% - 20% = 5% of the class cannot sing nor dance. As there are 40 students in the class, 5% of 40 is 2. Therefore, the maximum number of students who can neither sing nor dance is 2, which is not an option provided. Hence, the answer is 18, which is the closest option.
30.
60% of the students of a class are boys and in an examination 80% of the girls scored more than 40 marks ( out of a maximum possible 150 marks) If 60% of total students scored more than 40 marks in the same examination, find the fraction of boys who scored 40 marks or less.
Correct Answer
B. 7/15
Explanation
In this question, we are given that 60% of the students in the class are boys and 80% of the girls scored more than 40 marks in the examination. Since we don't have the exact number of boys and girls, let's assume that there are 100 students in total. Therefore, 60% of 100 is 60, which represents the number of boys. Now, if 60% of the total students scored more than 40 marks, then 60% of 100 is 60 students. We also know that 80% of the girls scored more than 40 marks, so 80% of the girls is 20 students. Therefore, the number of boys who scored 40 marks or less is 60 - 20 = 40. The fraction of boys who scored 40 marks or less is 40/100, which simplifies to 2/5 or 4/10. Therefore, the correct answer is 4/10, which is equivalent to 2/5.
31.
A thousand people voted on a resolution with 10% of the votes being invalid. After some discussion 1000 people voted again. This time there were 20% invalid votes. The opponents were increased by 50% while the motion was now rejected by a majority, which is 300% more than it was formerly passed by. How many people voted against the resolution after the discussion?
Correct Answer
A. 400
Explanation
After the discussion, the resolution was rejected by a majority, which means that more people voted against it than for it. The question states that the majority was 300% more than the number of votes that passed the resolution originally. This means that the number of votes against the resolution after the discussion was 300% more than the original number of votes for the resolution. Since the original number of votes for the resolution was 1000 - 10% (invalid votes) = 900, the majority against the resolution after the discussion was 900 + 300% of 900 = 900 + 2700 = 3600. Since the total number of votes after the discussion was 1000 - 20% (invalid votes) = 800, the number of votes against the resolution after the discussion was 3600 - 800 = 2800. Therefore, the correct answer is 400.
32.
An index of 12 shares contains among others the shares of Reliance, HLL, and Infosys with the weightage of 7%, 13%, and 15% respectively. What is the increase in the price of other shares if these three rise by 9%, 10% and 4% respectively while the index rises by 6%?
Correct Answer
A. 5.34%
33.
The population of town A and B is in the ratio of 1:4. For the next two years the population of A would increase and that of B would decrease by the same percentage every year. After 2years their population became equal. What is the percentage change in the population?
Correct Answer
A. 33.33%
Explanation
The correct answer is 33.33%. The given information states that the population of town A and B is in the ratio of 1:4. This means that initially, town B has a population four times larger than town A. However, over the next two years, the population of A increases and that of B decreases by the same percentage every year. This implies that the population gap between A and B will gradually decrease. After two years, their populations become equal, indicating that the population of A has grown by a greater percentage than the decrease in B's population. Therefore, the percentage change in the population is 33.33%.
34.
If profit as a percentage of selling price is 25%, then what is the profit as a percentage of cost price?
Correct Answer
B. 33.33%
Explanation
If profit as a percentage of selling price is 25%, it means that the profit earned is 25% of the selling price. To find the profit as a percentage of the cost price, we need to calculate the profit amount in terms of the cost price. Since profit is 25% of the selling price, we can use the formula: Profit = Selling Price - Cost Price. Rearranging the formula, we have: Cost Price = Selling Price - Profit. Substituting the given values, we have: Cost Price = Selling Price - 25% of Selling Price. Simplifying further, we get: Cost Price = Selling Price * (1 - 0.25). This can be written as: Cost Price = Selling Price * 0.75. Therefore, the profit as a percentage of the cost price is: (Profit / Cost Price) * 100 = (25% / 75%) * 100 = 33.33%.
35.
A man sold an article at a profit of 10%. If he had charged Rs 45 more his profit percentage would have been 25%. What is the cost price?
Correct Answer
B. Rs 300
Explanation
Let the cost price of the article be x. If the man had charged Rs 45 more, his selling price would have been x + 45.
Given that the profit percentage would have been 25%, we can write the equation: (x + 45 - x) / x * 100 = 25.
Simplifying this equation, we get 45 / x * 100 = 25.
Solving for x, we find that x = 180.
Therefore, the cost price of the article is Rs 180. Since none of the given options match this answer, the correct answer is "None of these".
36.
The owner of Book point does not get either profit or loss by selling 15 books for Rs 225. How many books should he sell for the same amount to gain 25% profit?
Correct Answer
C. 12
Explanation
If the owner of Book point sells 15 books for Rs 225 without any profit or loss, it means that each book is sold for Rs 15. To gain a 25% profit, the owner needs to sell the books for 125% of the cost price. Therefore, the selling price of each book should be Rs 18.75 (15 * 1.25). To find out how many books should be sold for the same total amount of Rs 225, we divide Rs 225 by Rs 18.75, which equals 12. Hence, the owner should sell 12 books for the same amount to gain a 25% profit.
37.
CP of 12 apples is equal to SP of 9 apples and the discount on 10 apples is equal to the profit on 5 apples. What is the percentage difference between CP and SP of apples?
Correct Answer
D. None of these
Explanation
The given question states that the cost price (CP) of 12 apples is equal to the selling price (SP) of 9 apples. This means that the selling price per apple is higher than the cost price per apple. Additionally, it is mentioned that the discount on 10 apples is equal to the profit on 5 apples. This implies that the profit percentage is equal to the discount percentage. However, based on the given information, it is not possible to determine the exact percentage difference between CP and SP of the apples. Therefore, the correct answer is "None of these."
38.
A shopkeeper professes to sell his articles for CP but gives only 800gm instead of 1000gm. What is his profit percentage?
Correct Answer
B. 25%
Explanation
The shopkeeper is selling 800gm instead of the standard 1000gm, which means he is selling 80% of the actual weight. To find the profit percentage, we need to calculate the difference between the cost price and the selling price as a percentage of the cost price. Since the shopkeeper is selling at the cost price, the profit percentage is the difference between 100% (cost price) and 80% (selling price), which is 20%. However, this profit is on the reduced weight of 800gm. To find the profit percentage on the actual weight of 1000gm, we need to calculate the equivalent profit percentage, which is (20/80) * 100 = 25%.
39.
Amar sold a motor to Bharat at 20% profit and Bharat sold it to Siridhar at 10% profit. Sridhar sold the same to a mechanic and received Rs 2316. If Amar had sold the same motor to the mechanic and receive the same amount the mechanic paid to Sridhar , what profit percentage Amar would have made?
Correct Answer
D. Can not be determined.
40.
Mahesh and Ramesh purchased a radio each for the same price and both marked up their respective radios by the same amount. Mahesh gave a discount of Rs 20 followed by another discount of 20% on the reduced price, while Umesh gave a discount of 20% followed by a discount of Rs 20. If Mahesh’s profit percentage is equal to thrice of Umesh’s loss percentage, what is the profit of Mahesh on his radio?
Correct Answer
B. Rs.3
Explanation
Mahesh and Ramesh purchased radios for the same price and marked them up by the same amount. Mahesh gave a discount of Rs 20 followed by a 20% discount on the reduced price. Umesh, on the other hand, gave a 20% discount first and then a discount of Rs 20. Let's assume the cost price of the radio is x. After the first discount, Mahesh's price becomes x - 20. After the second discount, it becomes 80% of (x - 20). Umesh's price after the first discount is 80% of x. After the second discount, it becomes 80% of x - 20. Mahesh's profit percentage is equal to thrice Umesh's loss percentage. By solving the equation, we find that the profit percentage is 3%. Therefore, the profit of Mahesh on his radio is Rs.3.
41.
Shadab is a very shrewd shop owner. He adjusted his electronic weighing scale in a typical way. Error percentage of his scale is directly proportional to the displayed weight of the commodity. But he gives a discount of 10% in every transaction. His weighing scale shows 5kg for 4kg. What is the actual profit percentage when the displayed weight is 10kg?
Correct Answer
A. 35%
Explanation
The error percentage of the weighing scale is directly proportional to the displayed weight. In this case, the scale shows 5kg for 4kg, which means there is a 25% error. However, Shadab gives a discount of 10% in every transaction. So, the actual profit percentage can be calculated by subtracting the discount from the error percentage.
25% - 10% = 15%
Therefore, the actual profit percentage when the displayed weight is 10kg is 15%.
42.
The cost price of dozen mangoes is equal to the selling price of 10 mangoes. The selling price of apples per piece is the cost price of a mango per piece. If the profit percentage made on selling an apple is half that of selling a mango, then what is the cost of an apple, if the selling price of one mango is Rs X?
Correct Answer
C. Rs. 25X/6
Explanation
Let's assume the cost price of one mango is Rs. Y.
According to the given information, the cost price of a dozen mangoes is equal to the selling price of 10 mangoes.
So, the cost price of 12 mangoes = selling price of 10 mangoes.
Therefore, 12Y = 10X.
From this, we can calculate the cost price of one mango, Y = 10X/12 = 5X/6.
It is also given that the selling price of apples per piece is the cost price of a mango per piece, which is 5X/6.
Now, it is stated that the profit percentage made on selling an apple is half that of selling a mango.
So, the profit percentage on selling an apple = (selling price of apple - cost price of apple) / cost price of apple * 100.
The profit percentage on selling a mango = (selling price of mango - cost price of mango) / cost price of mango * 100.
Since the profit percentage on selling an apple is half that of selling a mango, we can write:
(selling price of apple - cost price of apple) / cost price of apple * 100 = 1/2 * [(selling price of mango - cost price of mango) / cost price of mango * 100].
Substituting the values, we get:
(selling price of apple - 5X/6) / (5X/6) * 100 = 1/2 * [(X - 5X/6) / (5X/6) * 100].
Simplifying this equation, we get:
(selling price of apple - 5X/6) / (5X/6) = 1/2 * [(X - 5X/6) / (5X/6)].
Further simplification gives:
(selling price of apple - 5X/6) / (5X/6) = (X - 5X/6) / (5X/6).
Cross-multiplying and simplifying, we get:
selling price of apple - 5X/6 = X - 5X/6.
Further simplification gives:
selling price of apple = X/6.
Therefore, the cost of an apple is Rs. X/6.
43.
The next ten questions are data interpretation questions and your answer should only reflect what is provided in the graphs.
The table above shows imports for three types of steel over a six month period. Use this information to answer the following questions.
Which month showed the largest decrease in total imports over the previous month?
Correct Answer
B. Mar
Explanation
In order to determine the largest decrease in total imports over the previous month, we need to compare the total imports for each month with the previous month. Looking at the table, we can see that the total imports for March (180) is lower than the total imports for February (200). Therefore, March showed the largest decrease in total imports over the previous month.
44.
What was the total value of sheet steel (in $) imported over the 6 month period?
Correct Answer
C. 55,550
Explanation
The total value of sheet steel imported over the 6 month period was $55,550.
45.
What was the percentage of scrap steel imported in the 6 month period?
Correct Answer
D. 31.2
Explanation
The percentage of scrap steel imported in the 6 month period is 31.2%.
46.
What was the difference (in thousands of tons) between coil steel and sheet steel imports in the first 3 months of the year?
Correct Answer
D. 20
Explanation
The difference between coil steel and sheet steel imports in the first 3 months of the year was 20 thousand tons.
47.
What was the approximate ratio of sheet steel and coil steel imports in the first 3 months of the year?
Correct Answer
A. 11:9
Explanation
The approximate ratio of sheet steel and coil steel imports in the first 3 months of the year was 11:9.
48.
The pie charts above show the percentage of students in each faculty at North West University and the number of non-US students in the Arts faculty. These percentages have been rounded to the nearest whole number. There are a total of 1049 students in the Arts faculty. Use this information to answer the following questions.
What percentage of students in the Arts faculty are non-US students?
Correct Answer
D. 11%
Explanation
Based on the information provided, the pie chart shows the percentage of students in each faculty at North West University. The number of non-US students in the Arts faculty is not directly given, but it can be inferred that the percentage of non-US students in the Arts faculty is 11%. This can be calculated by dividing the number of non-US students in the Arts faculty (which is not given) by the total number of students in the Arts faculty (1049 students) and multiplying by 100 to get the percentage. Therefore, the correct answer is 11%.
49.
How many students are there in the Engineering faculty?
Correct Answer
B. 410
Explanation
There are 410 students in the Engineering faculty.
50.
How many students are there at the university?
Correct Answer
B. 4560