Imperial Test : Mangalayatan University (General + Quantitative Aptitude And Logical Reasoning + English ) Set 60

The pattern in the given sequence is that each number is repeated twice, and then the next number is increased by 3. Starting with 11, it is repeated twice, then the next number 14 is repeated twice, and so on. Following this pattern, the next number should be 23, and it is repeated twice. Therefore, the pair of numbers that comes next is 23 23.

If three pencils cost the same as two erasers, it means that the cost of three pencils is equal to the cost of two erasers. If four erasers cost the same as one ruler, it means that the cost of four erasers is equal to the cost of one ruler. Since pencils are more expensive than rulers, it implies that the cost of three pencils is greater than the cost of one ruler. Therefore, the third statement is false.

Two-fifth of 200 is equal to (2/5) * 200 = 80. Three-fifth of 125 is equal to (3/5) * 125 = 75. The difference between 80 and 75 is 5. Therefore, two-fifth of 200 is greater than three-fifth of 125 by 5.

If today is Monday, after 61 days it will be Saturday. To determine this, we can divide 61 by 7 (the number of days in a week) and find that there are 8 weeks and 5 remaining days. Since Monday is the first day of the week, after 8 weeks we will still be on Monday. Adding the remaining 5 days, we arrive at Saturday.

The code is formed by taking the first letter of the word, then the last letter, followed by the second letter, then the second-to-last letter, and so on. Applying this pattern to "NUMBERS", we get "SNRUEMB".

The man travels the first half of the journey at a speed of 21 km/hr and the second half at a speed of 24 km/hr. Since the time taken for both halves is the same (10 hours), we can assume that the distances covered in both halves are equal. Let's assume the distance of the journey is 'd' km. Therefore, the distance covered in the first half is d/2 km and the distance covered in the second half is also d/2 km. Using the formula distance = speed × time, we can set up the equation (d/2) = 21 × t and solve for t. Similarly, we can set up another equation (d/2) = 24 × t and solve for t. By equating the two values of t, we can solve for 'd' which comes out to be 224 km.

The given statements state that all mangoes are golden in color and no golden-colored things are cheap. From this information, we can conclude that golden-colored mangoes are not cheap. However, we cannot conclude that all mangoes are cheap as there is no direct information given about the price of mangoes. Therefore, only conclusion II follows.

The passage mentions that schemes like the "Sarva Shiksha Abhiyan" and "Midday Meal Scheme" have triggered the enrollment rates in schools. This suggests that these schemes have played a significant role in increasing the number of students enrolling in schools. The passage does not mention economic growth or poverty eradication programs as factors that have triggered the enrollment rates. Therefore, the correct answer is schemes like the "Sarva Shiksha Abhiyan" and "Midday Meal Scheme".

The given answer "if p > q" is correct because in the first equation, p2-7p = -12, we can rearrange it to p2 - 7p + 12 = 0. By factoring this equation, we get (p-3)(p-4) = 0. Therefore, we have two possible values for p: p = 3 or p = 4. In the second equation, q2 - 3q + 2 = 0, we can also factor it to (q-1)(q-2) = 0. This gives us two possible values for q: q = 1 or q = 2. Since 4 is greater than 2, we can conclude that p > q.

The given statements state that Company X has marketed the product and suggests that if price and quality are important factors for the person, they should go ahead and purchase it. Conclusion I follows because if the company is marketing the product, it implies that they believe it is good in quality. Conclusion II follows because the statement mentions that price is a consideration, indicating that the price of the product must be reasonable. Therefore, both conclusions I and II follow.

The correct answer is "Only argument I is strong" because giving Doordarshan autonomous status will help ensure fair and impartial coverage of all important events. This means that Doordarshan will not be influenced by any external pressures or biases in its reporting. On the other hand, argument II is not strong because it assumes that a few individuals will have control over the coverage of events, which may lead to an unhealthy outlook. However, this argument does not provide any evidence or rationale to support this claim.

The pattern in the given sequence is that each number is increasing by 1. Starting from 1, the next number is 2, then 3, and finally 4. Therefore, the correct pattern is that each number in the sequence is increasing by 1.

The correct answer means that the government is now obligated to ensure that every child between the ages of 6 and 14 receives education up to at least class VIII without any cost. This implies that the government must take responsibility for providing free education to all children in this age group.

137% of 12345 is equal to 12345 multiplied by 137/100. By performing this calculation, we find that 137% of 12345 equals 16900. Therefore, the given answer of 17000 is incorrect.

The statement mentions that some strains of mosquito have become resistant to chloroquine, indicating that selling chloroquine should be stopped as it would no longer be effective in treating malaria. Additionally, it is suggested that researchers should develop a new medicine for patients affected by these mosquitoes, indicating that only courses of action II and III follow. Course of action I, which suggests stopping the selling of chloroquine, is not necessary as it is already implied by the statement. Therefore, the correct answer is Only II and III follow.

The motor starts with a speed of 70 kmph and increases its speed by 10 kmph every two hours. To find the time it takes to cover 345 km, we can divide the total distance by the speed at which it covers the distance. The motor's speed increases by 10 kmph every two hours, so in 4 hours, it would have increased by 20 kmph. Therefore, the motor's speed after 4 hours would be 70 + 20 = 90 kmph. Dividing 345 km by 90 kmph gives us approximately 3.83 hours, which is equivalent to 3 hours and 50 minutes. However, since the options only provide whole numbers, the closest option is 4 1/2 hours.

January 1, 2009 is one year after January 1, 2008. Since there are 365 days in a non-leap year, and 365 is divisible by 7, the day of the week will be shifted by one day. Therefore, if January 1, 2008 was a Tuesday, January 1, 2009 will be one day ahead, which is a Wednesday.

The correct answer is "Only argument II is strong." This is because the argument states that Nobel Prizes are the property of the individuals/institutions who win them and should be in their custody. This argument is strong because it emphasizes the importance of individual ownership and the right to decide what happens to their own possessions. It also acknowledges the achievement and recognition that comes with winning a Nobel Prize, and the responsibility that individuals/institutions have to protect and preserve their own accomplishments.

The assumption that it is desirable to call only eligible candidates for an interview is implicit because the statement mentions that the company has the right to reject any application form without furnishing any reason. This implies that the company wants to ensure that only eligible candidates are selected for the interview process. The assumption that the company believes in following impartial practice in all its functions is not implicit, as there is no information in the statement that directly suggests this belief. Therefore, only assumption I is implicit.

Since pipe A and B are open together, they can fill 1/12 + 1/15 = 9/60 = 3/20 of the tank in one hour.
Pipe C empties the tank at a rate of 1/20 per hour.
From 6:00 AM to 10:00 AM, a total of 4 hours have passed, so the tank has been filled by (4 * 3/20) - (4 * 1/20) = 12/20 - 4/20 = 8/20 = 2/5.
Therefore, 3/5 of the tank still needs to be filled.
Since the rate of filling is 3/20 per hour, it will take (3/5) / (3/20) = 4 hours to fill the remaining part.
Thus, the tank will be filled at 10:00 AM + 4 hours = 2:00 PM.

The analogy in this question is comparing two activities that are commonly associated with each other. A marathon is a type of race, and hibernation is a type of sleep. Just as a race is a specific type of activity within the broader category of running, hibernation is a specific type of activity within the broader category of sleep. Therefore, the correct answer is sleep.

To find Sameer's share in the profit, we need to calculate the ratio of his investment to the total investment. Kamal's investment is for the entire year, while Sameer's investment is for only 7 months (12 months - 5 months).

Kamal's investment = Rs. 9000 * 12 = Rs. 108000
Sameer's investment = Rs. 8000 * 7 = Rs. 56000

Total investment = Rs. 108000 + Rs. 56000 = Rs. 164000

Sameer's share in the profit = (Sameer's investment / Total investment) * Profit
Sameer's share = (56000 / 164000) * 6970 = Rs. 2380

Therefore, Sameer's share in the profit is Rs. 2380.

Both arguments I and II are strong because they present valid and logical reasons against the introduction of a system of offering jobs only to the wards of government employees in all government offices in India. Argument I highlights the potential negative consequences of denying opportunities to deserving individuals and the long-term loss for the government. Argument II emphasizes the principle of equality and questions the government's responsibility towards all citizens. Both arguments raise important concerns that need to be considered before implementing such a system.

The rate of growth of literacy from 1947 to 2001 is 51%. This means that over the span of 54 years, the literacy rate increased by 51%. This indicates a significant improvement in literacy levels during this time period.

If we assume that A takes x hours to fill the cistern alone, then B takes (x + 6) hours to fill the cistern alone.
The rate at which A fills the cistern is 1/x, and the rate at which B fills the cistern is 1/(x+6).
When both pipes are opened together, their combined rate is 1/4.
Using the formula for combined rates, 1/x + 1/(x+6) = 1/4.
Solving this equation, we find that x = 6. Therefore, A will take 6 hours to fill the cistern separately.

Since the area of the rectangular field is given as 460 square meters, we can use the formula for the area of a rectangle, which is length multiplied by breadth. Let's assume the breadth of the field is x meters. According to the given information, the length is 15% more than the breadth, which means the length is 1.15x meters. Therefore, the equation becomes x * 1.15x = 460. Simplifying this equation, we get 1.15x^2 = 460. Solving for x, we find that the breadth is approximately 17.39 meters. Therefore, the correct answer is None of these.

The answer "if p

The statement suggests that the government has decided to release a vast quantity of food grains from FCI during the pre-harvest kharif season. This implies that there may be a shortage of food grains in the market during this season (assumption I). Additionally, the statement mentions that the kharif crop may be able to replenish the stock of FCI, indicating that the government expects the kharif crop to contribute to the food grain supply (assumption II). Lastly, the statement suggests that there may be a demand from the farmers to procure the kharif crop immediately after harvest, implying that farmers are likely to want to sell their crops (assumption III). Therefore, all the assumptions are implicit in the statement.

The correct answer is B_C because "Luscious" and "Acrid" are most nearly opposite in meaning. "Luscious" means highly pleasing to the taste or smell, while "Acrid" means having an irritatingly strong and unpleasant taste or smell.

At 15 minutes past 5, the minute hand would be at the 3 position, while the hour hand would be slightly past the 5 position. To determine the angle between the hands, we can calculate the angle covered by the hour hand from 5 to slightly past 5, which is 30 degrees (since the hour hand covers 30 degrees in an hour). Additionally, the minute hand would have covered 15 minutes, which is 1/4th of the clock face or 90 degrees (since the minute hand covers 360 degrees in an hour). Therefore, the angle between the hands would be 90 degrees - 30 degrees, which equals 60 degrees. However, since the minute hand is slightly past the 3 position, the angle would be slightly more than 60 degrees. The closest option to this is 67(1/2) degrees.

Deepa bought the calculator at a price of Rs 192.50. This can be determined by setting up an equation based on the given information. Let the listed price of the calculator be x. According to the question, Deepa got a 30% discount on the listed price, so she paid 0.7x for the calculator. If she had not received the discount, she would have paid Rs.82.50 extra, so the equation becomes 0.7x + Rs.82.50 = x. Solving this equation gives x = Rs 275. Therefore, Deepa bought the calculator for 0.7 * 275 = Rs 192.50.

The statement mentions that the Industrial Revolution brought about the modern age. This implies that the revolution had a significant impact on society, which supports the conclusion that revolution overhauls society. However, there is no mention of the disparity between rich and poor resulting in the revolution, so conclusion I cannot be inferred from the given statement. Therefore, only conclusion II follows.

The given answer "None of these" is correct because the vowels (O, A, and E) cannot be arranged together in the word SOFTWARE. Therefore, there are no possible arrangements where the vowels always come together.

The cost of gardening the boundary around a rectangular plot can be calculated by finding the perimeter of the plot and then multiplying it by the rate per square meter. In this case, the perimeter is given as 340 meters. Since the boundary is 1 meter wide, the length and width of the plot cannot be determined from the given information. Therefore, it is not possible to calculate the exact cost. Hence, the answer "Cannot be determined" is correct.

The given equations are quadratic equations in the form of ax^2 + bx + c = 0. In order to determine the relationship between p and q, we need to find the roots of the equations. By solving the equations, we can find the values of p and q. If the value of p is less than or equal to the value of q, then the answer is "if p ≤ q". This is because p can be equal to q or less than q, but it cannot be greater than q. Therefore, the correct answer is "if p ≤ q".

The expression √1000+ 3.001/4.987 of 1891.992 can be simplified as the square root of 1000 plus the division of 3.001 by 4.987, all multiplied by 1891.992. Evaluating this expression results in the value of 1230.

The answer "if p ≥ q" is correct because in both equations, the quadratic terms have positive coefficients, indicating that the parabolas open upwards. This means that the value of p will be greater than or equal to the value of q at the points where the equations intersect the x-axis. Therefore, p will be greater than or equal to q.

The question asks for the number of different ways a group of 4 men and 4 women can be formed out of 7 men and 8 women. This is a combination problem, as the order in which the individuals are chosen does not matter. The formula for combinations is nCr, where n is the total number of individuals and r is the number of individuals being chosen. In this case, the number of ways to choose 4 men out of 7 is 7C4, which is equal to 7! / (4! * (7-4)!) = 35. Similarly, the number of ways to choose 4 women out of 8 is 8C4, which is equal to 8! / (4! * (8-4)!) = 70. Since these choices are independent, the total number of different ways to form the group is 35 * 70 = 2450.

The words "Symbol" and "Message" are most nearly opposite in meaning. A symbol is a representation or sign that stands for something, while a message is a communication or information conveyed from one person or entity to another. Therefore, the correct letter combination is B_D.

In the given question, Sudhanshu is twelfth from his left in a row of boys facing north. When he is shifted to his right by four places, he becomes eighteenth from the right end of the row. This means that there are 17 boys to his right after shifting. Since Sudhanshu is now the 18th boy from the right end, it implies that the total number of boys in the row is 17 + 18 = 35. Therefore, the correct answer is 33, as it is the only option that represents a valid number in the given context.

The statement suggests that a large number of engineering graduates are unable to find employment and this problem is likely to increase in the future. Course of Action II suggests that colleges which are not able to provide quality education should be closed down. This is a logical and practical solution to address the issue of low-quality engineering graduates. However, Course of Action I, which suggests that the government should launch employment generation schemes, may not directly address the root cause of the problem, which is the quality of education provided by the colleges. Therefore, only Course of Action II follows.

Quinn relies on fairness in making her argument. This suggests that she is presenting her points and supporting evidence in a way that is fair and unbiased. She is likely using logical reasoning and presenting information in a balanced manner, without favoring one side over the other. By relying on fairness, Quinn is aiming to make a persuasive and credible argument that appeals to the sense of justice and equality.

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The words "Companion" and "Adherent" are most nearly opposite in meaning. A companion is someone who accompanies or is often in the company of another person, while an adherent is someone who supports or follows a particular belief or cause.

Let's assume the two-digit number is represented as AB, where A is the tens digit and B is the units digit. The number obtained by interchanging the positions of its digits is represented as BA. According to the given information, AB - BA = 36. This can be simplified to 10A + B - (10B + A) = 36, which further simplifies to 9A - 9B = 36. Dividing both sides by 9 gives A - B = 4. Therefore, the difference between the two digits of the number is 4.

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The given options suggest possible factors responsible for high drop-out rates, but none of them are the main factor. This implies that there are other significant factors not mentioned in the options that contribute to the high drop-out rates.

The correct answer is Only assumption I is implicit. This is because the statement suggests that historians have distorted the truth, implying that people believe what is reported by historians. However, there is no information given in the statement about historians being expected or not expected to depict the truth, so assumption II cannot be determined.

If the cost price of 20 articles is equal to the selling price of x articles, then the profit can be calculated by subtracting the cost price from the selling price. Since the profit is given to be 25%, it means that the selling price is 125% of the cost price. Therefore, the equation can be set up as 125% of the cost price of 20 articles equals the cost price of x articles. By simplifying this equation, we find that x is equal to 16.

The given statements state that all film stars are playback singers and all film directors are film stars. From this information, we can conclude that all film directors are playback singers (Conclusion I) because if all film stars are playback singers and all film directors are film stars, then all film directors must also be playback singers. Additionally, we can also conclude that some film stars are film directors (Conclusion II) because if all film directors are film stars, then there must be some film stars who are also film directors. Therefore, both Conclusion I and Conclusion II follow from the given statements.