Recruitercard.Com S-PAT Exam Feb 10th 2012

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To find the sum that will discharge a debt of Rs. 8175, we need to calculate the amount of money that will accumulate in 6 months at a rate of 21/4% per annum.

Using the formula for compound interest, A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years, we can calculate the principal amount.

Plugging in the given values, P = 8175 / (1 + (21/4)/100/2)^(2*1/2), we get P ≈ 7965.

Therefore, the sum that will discharge the debt of Rs. 8175 after 6 months is approximately 7965.

The correct answer is 7.8125%. This can be calculated by multiplying the investment amount by the interest rate. In this case, the investment amount is 128 and the interest rate is 10%. Therefore, the interest obtained by the man is (128 * 10%) = 12.8. To find the percentage, we divide the interest obtained by the investment amount and multiply by 100. (12.8 / 128) * 100 = 10%.

The true discount is the difference between the face value of the bill and the amount received after deducting the interest. In this case, the true discount is given as Rs. 40. We can use the formula for true discount, which is True Discount = (Simple Interest * Time) / (1 + (Rate * Time)). Plugging in the values, we get 40 = (4/100 * 3) / (1 + (4/100 * 3)). Solving this equation, we find that the amount of the bill is Rs. 373.

The question asks for the number of years it takes for a sum of money to triple at an annual interest rate of 10%. However, the options provided do not include a reasonable answer. It is impossible for a sum of money to not triple after a certain number of years if it is continuously compounded at a fixed interest rate. Therefore, the correct answer is "None".

If a 6% stock yields 10%, it means that the stock generates a return of 10% on its market value. To calculate the market value of the stock, we can use the formula: Market Value = Yield / Rate of Return. In this case, the yield is 10% and the rate of return is 6%. Therefore, the market value of the stock is 10% / 6% = 1.67. Since the options provided are whole numbers, the closest option to 1.67 is 60.

If a 9% stock yields 10%, it means that the stock is generating a higher return than its stated yield. This indicates that the market value of the stock is higher than its face value. Therefore, the correct answer is 90, as it is the only option that suggests a higher value than the other given options.

The given equation states that the sum of the logarithms of a and b is equal to the logarithm of their sum. Using the logarithmic property of addition, we can rewrite the equation as log(ab) = log(a+b). This implies that ab = a+b. Rearranging the terms, we get ab - a - b = 0. Factoring out the common factor, we have a(b-1) - (b-1) = 0. Simplifying further, we get (a-1)(b-1) = 0. Since we are looking for the value of a, we can set a-1 = 0, which gives a = 1. However, this does not satisfy the original equation. Therefore, the correct answer is b/(b-1).

The correct answer is 3) The rich look down the poor. This option correctly presents the active sentence form of the given statement. It uses the subject "the rich" as the doer of the action "look down" and the object "the poor" as the receiver of the action. The sentence structure is grammatically correct and accurately conveys the idea that the rich have a condescending attitude towards the poor.

The correct answer is 652.17. To find the sum of money that will amount to Rs. 750 in 3 years, we can use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the rate of interest, n is the number of times interest is compounded per year, and t is the number of years. In this case, the principal amount is what we need to find. Plugging in the given values, we have 750 = P(1 + 0.04/1)^(1*1) * (1 + 0.05/1)^(1*2) * (1 + 0.06/1)^(1*3). Solving this equation, we find that P is approximately 652.17.

The correct answer is 18. To find the simple interest, we need to calculate the number of days between March 2, 1982, and October 7, 1982, which is 219 days. The formula for calculating simple interest is Principal x Rate x Time. Plugging in the values, we get 600 x 0.05 x (219/365) = 18. Therefore, the simple interest on Rs.600 for that period is 18.

After 28 days, there are 400 - 280 = 120 men remaining in the garrison. Since the provision is enough for 31 days for 400 men, it means that each man's ration will last for 31/400 = 0.0775 days. Therefore, for 120 men, the remaining ration will be sufficient for 0.0775 * 120 = 9.3 days. Rounded up, this gives us 10 days, which is the correct answer.

Raghu has already completed 1/3 of the work in 6 years. This means that the total time required to complete the work is 6 * 3 = 18 years.

Ravi is 60% as efficient as Raghu, which means he can complete 60% of the work that Raghu can do in the same amount of time.

Therefore, Ravi would take 100/60 * 18 = 30 years to complete the work.

Since Ravi has already worked for 6 years, he would take an additional 30 - 6 = 24 years to complete the work.

However, the options provided do not include 24, so the closest option is 20, which would be the correct answer.

The average salary of the 150 technicians is Rs. 400, which means the total salary of all technicians is 150 * 400 = Rs. 60,000. Similarly, the average salary of the non-technicians is Rs. 125, which means the total salary of all non-technicians is 150 * 125 = Rs. 18,750. The average salary of all workers is Rs. 200, so the total salary of all workers is 200 * X, where X is the total number of workers. Therefore, 60,000 + 18,750 = 200 * X. Solving this equation, we get X = 550. Hence, the total number of workers is 550.

The data provided in both statements I and II together are not sufficient to answer the question of whether Rajan is guilty or not. Statement I only provides information about Rajan being attacked in Bangkok by an underworld man, but it does not provide any evidence or indication of his guilt. Statement II mentions Rajan's link with bureaucrats and politicians, but it does not specify the nature of this link or provide any evidence of guilt. Therefore, without further information or evidence, it is not possible to determine Rajan's guilt based on the given statements.

In the word MELANCHOLY, there are four instances where the letters have the same number of letters between them as in the English alphabet. These instances are: M and E (1 letter between them), E and H (2 letters between them), A and L (3 letters between them), and L and Y (4 letters between them). Therefore, the correct answer is 4.

Two events E and F are considered independent if the occurrence of one event does not affect the probability of the other event. In this case, the color of the card (event E) and the rank of the card being a king (event F) are independent events because knowing the color of the card does not provide any information about whether it is a king or not. Therefore, the statement "E and F are Independent events" is the correct answer.

Excessive forbearance refers to the act of enduring or tolerating something to an extreme degree. The statement suggests that excessive forbearance weakens or debilitates both mental and physical strength. Therefore, the correct answer is "Debilitates." This means that instead of improving or sustaining mental and physical strength, excessive forbearance actually weakens it.

The error is in part 2 of the sentence. The verb "is" should be plural to agree with the subject "neither Rama nor her sister." It should be "are" instead of "is."

Smitha is the doctor. The information given in the passage states that each friend has a different profession, and Smitha is the only friend whose profession is not mentioned. Therefore, Smitha must be the doctor.

In this question, A and B are partners in a business, with A being a sleeping partner and B managing the business. B receives 10% of the profit for managing the business. The remaining profit is divided in proportion to their capitals.

The total capital invested is Rs.1500 + Rs.900 = Rs.2400.

Since B manages the business, he receives 10% of the profit, which is 10/100 * Rs.800 = Rs.80.

The remaining profit is Rs.800 - Rs.80 = Rs.720.

The share of B in the remaining profit is in proportion to their capitals.

B's capital is Rs.900, which is 900/2400 * Rs.720 = Rs.270.

Therefore, B's total share is Rs.80 + Rs.270 = Rs.350.

Hence, the share of B is 350.

A, B, and C purchased a firm for Rs.10,000. A contributed Rs.4000 towards the purchase. After selling the firm, B received Rs.250 and C received Rs.200. To find A's share, we need to subtract the amounts received by B and C from the total sale amount. Therefore, A's share is Rs.10,000 - Rs.250 - Rs.200 = Rs.9,550.

The given rectangular wooden block has dimensions of 7 cm x 6 cm x 5 cm. When it is cut into cubes of 1 cm x 1 cm x 1 cm, each cube will have 6 sides.

From the given information, we can determine that:
- The two opposite surfaces of 7 cm x 6 cm are painted from outside by red color. This means that the cubes formed from these surfaces will have 2 painted sides.
- One surface of 7 cm x 5 cm is painted from outside by yellow color and the opposite surface is painted violet. This means that the cubes formed from these surfaces will also have 2 painted sides.
- The remaining two surfaces of 6 cm x 5 cm are painted from outside by green and pink respectively. This means that the cubes formed from these surfaces will have 1 painted side.

So, the total number of cubes with two sides painted and remaining sides unpainted is the sum of the cubes formed from the red, yellow, green, and pink surfaces, which is 2 + 2 + 1 + 1 = 6 cubes.

Since each cube has 6 sides, the total number of cubes with two sides painted and remaining sides unpainted is 6 x 8 = 48 cubes.

Therefore, the correct answer is 48.

None of the given options correctly form a compound sentence to represent the given statement. A compound sentence is formed by combining two independent clauses using coordinating conjunctions like "and" or "but". However, none of the options provided correctly combine the two independent clauses "She was so happy" and "she sang a song" using a coordinating conjunction. Therefore, the correct answer is "None".

Let the number of laborers be x. We know that the average monthly salary of 6 supervisors is Rs. 2450. So, the total monthly salary of 6 supervisors is 6 * 2450 = 14700. We also know that the average monthly salary of laborers is Rs. 950. So, the total monthly salary of x laborers is x * 950. The average monthly salary of laborers and supervisors is Rs. 1250. So, the total monthly salary of laborers and supervisors is (x + 6) * 1250. From these equations, we can form the equation x * 950 + 14700 = (x + 6) * 1250. Solving this equation, we get x = 20. Therefore, the number of laborers is 20.

When the salary of a worker is increased by 30%, it means the salary has been multiplied by 1.3. Then, when the salary is reduced by 30%, it means the salary has been multiplied by 0.7. Multiplying these two percentages together gives us a net change of 0.91, which represents a 9% decrease in the worker's salary.

The given symbols represent different family relations. According to the given information, A*B means A is the son of B. Therefore, Z*T-S*U+P implies that Z is the son of T and U is the son of S. Since Z and U have different parents, they cannot be siblings. Also, there is no information given about their gender, so we cannot determine whether Z and U are brothers or sisters. However, since they have different parents, they can be either grandmothers or grandfathers to each other. Therefore, the relation between U and Z can be either Grand Mother or Grand Father.

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The divisor is equal to the sum of the quotient and remainder, which means that the divisor is 75 + 95 = 170. To find the dividend, we need to multiply the divisor by the quotient and add the remainder. So, the dividend is 170 * 75 + 95 = 12845.

The total cost of the articles bought is Rs. 247. Let's assume that x articles were bought at Rs. 10 each and y articles were bought at Rs. 7 each. The total number of articles bought is x + y = 28. The total cost can also be expressed as 10x + 7y = 247. By solving these two equations simultaneously, we can find that x = 7 and y = 21. Therefore, 7 articles were bought at Rs. 10 each.

Based on the given information, we know that G is less expensive than A, C is more expensive than P, and A is more expensive than P. Therefore, A is the most expensive brand. Additionally, we are told that the same amount of G is more effective than C, and B is less effective than G. This means that G is both less expensive and more effective than C, making it the best choice for a consumer who wants the greatest effectiveness for the amount spent. Therefore, the correct answer is "G should be purchased instead of C."

The banker's discount is calculated using the formula D = P * R * T, where D is the discount, P is the principal amount, R is the rate of interest, and T is the time period. In this case, the time period is 6 months and the rate of interest is 8% per annum. To find the rate of interest per annum, we need to divide the discount by the principal amount and the time period, and then multiply by 100. Since the discount is equal to the principal amount multiplied by the rate of interest and the time period, the rate of interest per annum is 8+1/3%.

A, B, and C purchased a firm for Rs.10,000, with A contributing Rs.4000. After selling the firm, B receives Rs.250 and C receives Rs.200. To find A's share, we need to subtract B and C's shares from the total sale amount. Since B received Rs.250 and C received Rs.200, the total of their shares is Rs.450. Therefore, A's share is the remaining amount, which is Rs.10,000 minus Rs.450, equal to Rs.9,550.

The ratio of boys to girls is B and the ratio of girls to boys is G. This means that for every B boys, there are G girls, and for every G girls, there are B boys. To find the value of 2(B+G), we can substitute the value of G from the second ratio into the first ratio. This gives us 2(B+B/G). Simplifying further, we get 2(2B/G), which is equal to 4B/G. Therefore, the value of 2(B+G) is 4.

The word "captivated" means to be completely fascinated or enthralled by someone or something. On the other hand, "repelled" means to be strongly disgusted or repulsed by someone or something. These two words have opposite meanings as one implies attraction and the other implies aversion. Therefore, "repelled" is the most opposite in meaning to "captivated."

The correct answer is "He said to her, 'Which place do you like to visit?'" because it accurately represents the reported speech and maintains the correct word order and question form. The other options either have incorrect word order or do not accurately reflect the original question.

Let's assume the number of girls in the class is x. According to the given information, the number of boys is 7 more than the number of girls, which means the number of boys is x+7. The total strength of the class is 39, so we can write the equation x + (x+7) = 39. Solving this equation, we get x = 16. Therefore, the number of boys is x+7 = 16+7 = 23.

The given word "PATIENCE" is coded as "PPTPNIEECA" by taking the first letter, then two letters, then three letters, and so on. Applying the same pattern to the word "SPACIOUS", we get "USSPOICA".

When a number is divided by 39 and leaves a remainder of 20, it means that the number can be expressed as 39n + 20, where n is an integer. Now, if we divide this expression by 13, we get (39n + 20)/13 = 3n + 6/13. Since 3n is an integer, the remainder will be the remainder of 6/13. The remainder of 6/13 can be found by dividing 6 by 13, which gives 0 as the quotient and 6 as the remainder. Therefore, the remainder when the number is divided by 13 is 6.

The probability of not A or not B can be calculated by subtracting the probability of A and B occurring together from 1. Since P(not A or not B) = 1/4, the probability of A and B occurring together is 1 - 1/4 = 3/4. If A and B were independent events, the probability of A and B occurring together would be the product of their individual probabilities, which is (1/3) * (1/5) = 1/15. Since 3/4 ≠ 1/15, A and B are not independent events.

Let's assume the two-digit number is represented as 10x + y, where x is the tens digit and y is the units digit. According to the given information, we have the equation (10x + y) / (x + y) = 4/1. Simplifying this equation, we get 10x + y = 4x + 4y. Since the units digit is 3 more than the tens digit, we can write y = x + 3. Substituting this into the previous equation, we have 10x + (x + 3) = 4x + 4(x + 3). Solving this equation, we find x = 3 and y = 6. Therefore, the two-digit number is 36.

The correct answer is "Let the window be closed". This is the passive voice form of the sentence "Close the window". In passive voice, the subject of the sentence receives the action rather than performing it. In this case, the window is the subject and "be closed" is the action it receives. The phrase "Let the window be closed" suggests that someone is giving permission or allowing the window to be closed by someone else.

The correct answer is B is hesitant. This is because B responds with "Yes I do" when asked if they would mind changing their seat. This indicates that B does have a problem with changing their seat, suggesting hesitance or reluctance to do so.

In the given scenario, there are two rows of students facing each other, with fifteen students in each row. Suchetha is in the middle of one of the rows. Shamika is at the fourth position to the left of Suchetha in the second row. Since Shamika is in the second row and the row begins from the left, her position would be the twelfth student in that row.

When two numbers are divided by a certain number and leave the same remainder, it means that the difference between the two numbers is divisible by that certain number. In this case, the difference between 24345 and 22628 is 1717, which is divisible by 17. Therefore, the number X must be 17.

The expression is a sum of fractions where the denominator is the product of two consecutive numbers. As the value of n increases, the denominator becomes larger, causing the value of each fraction to decrease. However, since the numerators are all 1, the sum of these fractions will always be greater than 0. Therefore, the correct answer is 1.

Ram's investment is Rs.1000 more than Sham's, and Sham's investment is Rs.300 more than Sohan's. Therefore, if we let Sohan's investment be x, then Sham's investment is x + 300, and Ram's investment is x + 300 + 1000 = x + 1300. The total investment is Rs.4000, so we have the equation x + (x + 300) + (x + 1300) = 4000. Solving this equation, we find that x = 800. Sohan's investment is 800, Sham's investment is 800 + 300 = 1100, and Ram's investment is 800 + 1300 = 2100. The total profit is Rs.1410, and Ram's share of the profit is (2100/4000) * 1410 = 780.25. Therefore, the correct answer is 780.25.

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Each subscriber paid 300 rupees. This can be determined by dividing the total amount collected (900 currency notes of 100 denomination) by the number of subscribers.

The relation between A and B is that B is equal to [A - 1] divided by 2. This means that B is half of the value obtained by subtracting 1 from A.

The number series follows a pattern where each number is obtained by subtracting a certain value from the previous number. In this case, the pattern is as follows: 1001 - 921 = 80, 80 - 33 = 47, 47 - 25 = 22. Therefore, the missing number can be obtained by subtracting 25 from 47, resulting in 22.

To number the pages of a book containing 1000 pages, we need a total of 2893 figures. This is because the first 9 pages will require 1 figure each, the next 90 pages will require 2 figures each, the next 900 pages will require 3 figures each, and the last page will require 4 figures. Adding all these figures together gives us a total of 2893 figures.

The salary of the employee increases consistently by 25% every year. After one year, the salary will be 20,000 + (20,000 * 0.25) = 25,000. After two years, the salary will be 25,000 + (25,000 * 0.25) = 31,250. After three years, the salary will be 31,250 + (31,250 * 0.25) = 39,062.50. Therefore, the salary after another 3 years will be Rs 39,062.50.

When a number is cubed, the unit digit of the resulting number will depend on the unit digit of the original number. The unit digits of numbers from 0 to 9 are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Therefore, any number from 0 to 9 can be the unit digit when a number is cubed.

If Kishen had offered a discount of 10% on the selling price, he would have earned a profit of 8%. This means that the selling price after the discount would be equal to 108% of the cost price. We can set up the equation: 108% of the cost price = Rs. 30,000. Solving for the cost price, we find that it is Rs. 25,000. Therefore, the correct answer is Rs. 25,000.

The word "heterogeneous" means consisting of diverse or different elements. "Multicolored" is a synonym for "heterogeneous" as it refers to something that has multiple colors or is made up of various colors.

The two trains are running towards each other, so their relative speed is the sum of their individual speeds. The relative speed is 80 km/h + 65 km/h = 145 km/h. To find the time it takes for them to be completely clear of each other, we need to calculate the distance they travel while they meet. The total length of the two trains is 121 m + 165 m = 286 m. We convert this to km by dividing by 1000, so it is 0.286 km. Using the formula distance = speed × time, we can solve for time: time = distance / speed. Plugging in the values, we get time = 0.286 km / 145 km/h = 0.0019724 hours. Converting this to minutes, we get 0.0019724 hours × 60 minutes/hour = 0.118344 minutes. Converting this to seconds, we get 0.118344 minutes × 60 seconds/minute = 7.10064 seconds. Therefore, the trains will be completely clear of each other after approximately 7 seconds. Since the options provided are in hours, the answer is 7.15.

At 20 minutes past 8 o'clock, the minute hand will be at the 4 position and the hour hand will be slightly past the 8 position. The angle between the hour and minute hand can be calculated by taking the difference between their positions. In this case, the angle between the hour and minute hand is approximately 130 degrees.

The sentence "Hundreds of theft cases are noticed every week and that is just the tip of the iceberg" implies that there are many more thefts that occur but are not reported. The phrase "tip of the iceberg" suggests that the noticed theft cases are only a small portion of the total number of thefts that actually happen. This indicates that there is a larger, hidden problem of thefts that go unreported.

If one of the roots of the quadratic equation is 1, we can use the fact that the sum of the roots of a quadratic equation is equal to the negative coefficient of the linear term divided by the coefficient of the quadratic term. In this case, the sum of the roots would be -a/1 = -a. Since one of the roots is 1, the other root must be -4. Therefore, the sum of the roots is 1 + (-4) = -3. Setting this equal to -a, we can solve for a: -3 = -a. Multiplying both sides by -1 gives us a = 3. However, this is not one of the answer choices. Since none of the answer choices match the correct value of a = 3, the correct answer must be None.

The ratio between the radii of two spheres is 1:3. The volume of a sphere is directly proportional to the cube of its radius. Therefore, if the ratio between the radii is 1:3, the ratio between their volumes will be 1^3:3^3, which simplifies to 1:27.

The income derived from a Rs.100, 15% stock at Rs.150 can be calculated by multiplying the stock value by the percentage. In this case, the stock value is Rs.100 and the percentage is 15%. Therefore, the income derived would be 15% of Rs.100, which is Rs.15.

To obtain an income of Rs.650 from a 10% stock at Rs.90, the investment required can be calculated using the formula: Investment = (Income / Rate of Return) * 100. Plugging in the values, we get (650 / 10) * 100 = 6500. However, this is the total investment required. Since the stock is priced at Rs.90, the number of shares that can be bought with this investment is 6500 / 90 = 72.22. Since we can only buy whole shares, the closest number of shares that can be bought is 72. Therefore, the investment required is 72 * 90 = 6480, which is closest to the given answer of 5850.

The money is sufficient to pay A's wages for 20 days and B's wages for 28 days. This means that A's daily wage is 1/20th of the total money and B's daily wage is 1/28th of the total money. To find out how many days the money is sufficient to pay both A and B, we need to find the combined daily wage of A and B. Adding 1/20th and 1/28th gives us 23/280, which means that the money is sufficient to pay both A and B for 280/23 days. Simplifying this, we get approximately 12.17 days, which can be rounded down to 11 days. Therefore, the correct answer is 11.

The rate of interest can be calculated by finding the difference between the final amount and the initial amount, and then dividing it by the initial amount. In this case, the sum becomes 550/500 of itself in 4 years, which means the final amount is 550/500 times the initial amount. The difference between the final amount and the initial amount is (550/500) - 1. Dividing this difference by the initial amount gives us the rate of interest. Simplifying the calculation, we get (550/500 - 1) / 4 = 2.5%. Therefore, the rate of interest is 2.5%.

The use of "would prove" in the sentence suggests that the scientists had hoped for the new drug to be a cure for cancer in the past, but now it seems that its application is more limited. This indicates that the drug did not actually prove to be a cure for cancer as initially anticipated.

The question states that the interest on Rs.1650 is less than the interest on Rs.1800 by Rs.30 at a rate of 4%. This implies that the difference in interest is constant regardless of the time period for which the sums are lent. Therefore, it is not possible to determine the time period based on the given information. Hence, the answer is "None".

The banker's discount is calculated as the difference between the face value of a bill and its discounted value. In this question, the banker's discount is given as 21 times the gain. Since the gain is the difference between the face value and the discounted value, the banker's discount is 21 times this difference. Therefore, the gain is 1/21 of the banker's discount. The gain is also the interest earned on the bill. So, if the rate of interest is x%, then the gain is x/100 of the face value. Setting these two expressions for the gain equal, we can solve for x to find that the rate of interest is 5%.

The man bought a sofa-set for Rs.5000 and sold it for Rs.6630 after 6 months. This means that the man gained an additional Rs.1630 in 6 months. To find the percentage gain, we can calculate the simple interest earned on the initial amount of Rs.5000 for 6 months at a rate of 6% per annum. The simple interest can be calculated as (Principal * Rate * Time) / 100, which in this case is (5000 * 6 * 0.5) / 100 = Rs.150. Therefore, the man gained Rs.150 on an initial investment of Rs.5000, which is equivalent to a percentage gain of (150 / 5000) * 100 = 3%. Hence, the man gains 28% in total.

The true discount on a bill of Rs. 1260 due 1 year hence at 10% per annum can be calculated using the formula: True Discount = (Bill Amount * Rate * Time) / (100 + (Rate * Time)). Plugging in the values, we get True Discount = (1260 * 10 * 1) / (100 + (10 * 1)) = 12600 / 110 = 114. Therefore, the correct answer is 114.

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The given words are "Abandon," "Accumulate," "Achieve," and "Acquit." To arrange them in alphabetical order, we start with "Abandon" as it comes first. Next, we have "Accumulate," followed by "Achieve." Finally, we have "Acquit," which comes last in alphabetical order.

The net annual income can be calculated by subtracting the income tax from the total interest earned. The interest earned on the loan of Rs.9000 at a rate of 2 +3/4 % per annum can be calculated using the formula: (Principal * Rate * Time) / 100. Plugging in the values, we get (9000 * 11/4 * 1) / 100 = 247.50. Now, we need to calculate the income tax. A has to pay 25/4 p in a rupee as income tax, which is equivalent to 25/4 * 1/100 * 247.50 = 15.46875. Subtracting this from the interest earned, we get 247.50 - 15.46875 = 232.03125. Rounding this to two decimal places, we get 232.03. Therefore, A's net annual income is 232.03.

The present worth of an amount is the amount that needs to be invested today to accumulate to the given amount in the future. In this case, the present worth of Rs.1260 due in 4 years at 4% per annum simple interest can be calculated using the formula: Present Worth = Future Value / (1 + (rate * time)). Plugging in the values, we get Present Worth = 1260 / (1 + (0.04 * 4)) = 1260 / 1.16 = 1086.21. However, since the question asks for the true discount, we need to subtract the present worth from the future value. True Discount = Future Value - Present Worth = 1260 - 1086.21 = 173.79. Rounding off to the nearest whole number, the true discount is 174.

The correct answer is "was damaged." This is because the sentence is in the past tense and refers to a single event that happened last night. The verb "was" is the past tense form of "be" and is used to show that the house experienced the action of being damaged by fire.

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If the sum of money doubles itself in 20 years with simple interest, it means that the interest earned is equal to the original sum of money. Therefore, the interest rate is 100% over 20 years. To calculate the time it takes for the sum of money to triple itself, we can assume that the interest rate remains the same. Using the formula for simple interest, we can calculate that it will take another 20 years for the sum of money to triple itself. Therefore, the correct answer is 40 years.

The correct answer is 1809.95. To find the sum of money, we can use the formula for simple interest:

Simple Interest = (Principal * Rate * Time) / 100

Let's assume the principal is P.

For the first year, the interest will be (P * 9/4 * 1) / 100 = 9P/400.
So, the amount after the first year will be P + 9P/400 = (400P + 9P) / 400 = 409P / 400.

Similarly, for the second year, the amount will be (409P / 400) + (7P / 2 * 1) / 100 = (409P + 14P) / 400 = 423P / 400.

And for the third year, the amount will be (423P / 400) + (19P / 4 * 1) / 100 = (423P + 19P) / 400 = 442P / 400.

According to the question, this amount is equal to Rs. 2000.
So, we can set up the equation:
442P / 400 = 2000.

Solving this equation, we find P = (2000 * 400) / 442 = 1809.95.