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In a compound weighing 1200 gm, metals A and B are in the ratio 5 : 7 and in another compound weighing 800 gm, metals A and B are in the ratio 3 : 1. Find the difference between weight of metal A and metal B in the third compound which is the mixture of compound 1 and compound 2.
The question below is followed by statements I, II, and III. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. The difference between the compound interest and simple interest on a certain sum at a certain rate of interest per annum for two years is 204.20. What is the amount received on the sum of compound interest at the same rate of interest at the end of three years. I. The difference between the compound interest and the simple interest on the sum for three years is 804.258. II. The sum becomes Rs. 14528 at the end of one year. III. The compound interest on the sum for two years is 7% more than the simple interest on the sum for two years.
Priya and khushi invested Rs.3000 together. Priya invested her amount at compound interest for ‘x/10’ years at x% rate interest and khushi invested half of her amount at compound interest and remaining half at simple interest at the same rate of interest for the same time period. [It is given that ‘x/10’ is a natural number] What is the value of ‘x’? Statement I: Ratio of investment of priya and khushi is 1 : 2 respectively and total sum received by them together after a particular time at x% rate of interest is Rs. 4280. Statement II: Simple interest received by khushi is Rs. 40 less than compound interest received by her. Statement III: Sum of simple interest and compound interest received by khushi after a certain time at x% rate of interest is Rs. 2500 Which of the above statement is redundant to find the answer of the given question?
A sum lent at compound interest amounts to 72.8% more than itself in 3 years, interest compound annually at a certain rate percent per annum. What will be the compound interest on a sum of Rs.9,000 for \(1\frac{1}{2}\)years at the same rate, if the interest is compound six-monthly?
A compound dissolves in water at a rate proportional to the product of the amount of undissolved solid and the difference between the concentration in a saturated solution and the actual solution; i.e., Csat – C(t). A saturated solution of this compound contains 40 g per 100 g of water. In a test run starting with 20 kg of undissolved compound in 100 kg of water, it was found that 5 kg dissolved in 3 hr. if the test continues, how many kg of compound will remain undissolved after 7 hr? Assume that the system is isothermal.
Arrange the following steps of situation analysis.
1. Clearly identify objective of the project
2. Identify all task required to fulfill the objective
3. Identify the benefit of objective
4. Identify the Potential risks
Ethanoic acid reacts with absolute ethanol to give a compound X. The compound X is used in making perfumes and as a flavouring agent. The compound X is:
A sum becomes Rs. 21000 on compound interest (compounding annually) after one year. This sum becomes Rs. 22050 on compound interest (compound annually) at the same rate after two years. What is the annual rate of interest?
Bank lent out some amount to P on compound interest calculated half-yearly at the rate of interest 10% for a year. P lent out same money on compound interest calculated annually to his friend at the same rate of interest for the same time period. He has Rs. 10 loss in this transaction. At what rate of interest he should lend out money on compound interest calculated annually for a year to earn Rs. 190 as a profit?
Consider a set U of 23 different compounds in a Chemistry lab. There is a subset S of U of 9  compounds, each of which reacts with exactly 3 compounds of U. Consider the following statements:  I. Each compound in U\S reacts with an odd number of compounds. II. At least one compound in U\S reacts with an odd number of compounds. III. Each compound in U\S reacts with an even number of compounds. Which one of the above statements is ALWAYS TRUE?