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An electronics shop was selling articles at a high discount. Kajal went to buy 3 articles from the shop. The cost of the first article is 33.33% less than the cost of the 2nd article. The cost of the 3rd article is 300% more than the discount on the 2nd article. The discount on the 1st article is 30% less than the discount on the 3rd article. After the discounts, Kajal receives an additional discount, which is equal to the sum of discounts on the first 2 articles. The discount on the 1st article is 80.55% less than the price of the 3rd article. Which of the following is true if the cost of article 1 is 50% less than the cost of article 3?
If a + b + c + d = 4, then find the value of $$\frac{1}{{\left( {1 - a} \right)\left( {1 - b} \right)\left( {1 - c} \right)}}$$     + $$\frac{1}{{\left( {1 - b} \right)\left( {1 - c} \right)\left( {1 - d} \right)}}$$     + $$\frac{1}{{\left( {1 - c} \right)\left( {1 - d} \right)\left( {1 - a} \right)}}$$     + $$\frac{1}{{\left( {1 - d} \right)\left( {1 - a} \right)\left( {1 - b} \right)}}$$     is?
If a + b + c + d = 4, then the value of $$\frac{1}{{\left( {1 - a} \right)\left( {1 - b} \right)\left( {1 - c} \right)}}$$     + $$\frac{1}{{\left( {1 - b} \right)\left( {1 - c} \right)\left( {1 - d} \right)}}$$     + $$\frac{1}{{\left( {1 - c} \right)\left( {1 - d} \right)\left( {1 - a} \right)}}$$     + $$\frac{1}{{\left( {1 - d} \right)\left( {1 - a} \right)\left( {1 - b} \right)}}$$     is?
A gap opening penalty for any gap (g) and a gap extension penalty for each element in the gap (r) are most often used, to give a total gap score wx, according to the equation ______
Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. The combined cost of three articles in a shop is Rs.4200. Two article sold at profit of 25% and 12.5% and third article is sold such that there is a loss of Rs.630. What is the loss percentage incurred on third article. I. The difference between cost price of highest article and lowest article is Rs.600. The costliest article is sold at a loss.  II, The cheapest item is sold at 25% profit. The the price of one of that article is the average price of the cheapest and costliest item.
Three pipes x, y and z can fill a tank A can fill it in 4 minutes. Two pipes p and q are connected to tank B. how much time does it take for both tanks to run at the full capacity? Ratio of time taken to fill tank A by P and time taken by x to fill tank A is 2: 1 and ratio of time taken by Q to fill tank B and Z to fill tank A is 5: 3. Pipe P is 20% more efficient then pipe Q. and pipe Y takes 12 minutes to fill the tank. Capacity of tank B is 3/4 times of tank A. Note: Tank B is to be filled only after filling tank A. Valves of pipe p and q are closed once tank B is running at full capacity.
A shopkeeper gives a discount of 28% on the marked price of article P and selling price of article Q is \(33\frac{1}{3}\;\)% more than the selling price at article P, if shopkeeper made 20% profit on article Q and selling price of article P was Rs 200 less than the cost price of article Q, then find the cost price of article P, which shopkeeper sold at a profit of 20%?
In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: Pipe A takes thrice the time taken by Pipe B to fill a tank. Together they can fill the tank in 15 hours, tank A and B is opened together for 4 hours and then Pipe A is closed and after 2 more hours Pipe B is closed and an outlet Pipe C is opened which when working alone can empty the tank in 10 hours. Calculate the time taken by C to empty the tank. Quantity B: A pipe A can fill the tank in 10 hours another pipe B can fill the tank in 15 hours and with the help of third pipe C they can fill the tank in 5 hours. Pipe A is opened for 4 hours then it is closed, pipe B is closed 3 hours before filling of tank and tank C is opened the whole time. Calculate the time taken to fill the tank
In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: Pipe A takes thrice the time taken by Pipe B to fill a tank. Together they can fill the tank in 15 hours, tank A and B is opened together for 4 hours and then Pipe A is closed and after 2 more hours Pipe B is closed and an outlet Pipe C is opened which when working alone can empty the tank in 10 hours. Calculate the time taken by C to empty the tank. Quantity B: A pipe A can fill the tank in 10 hours another pipe B can fill the tank in 15 hours and with the help of third pipe C they can fill the tank in 5 hours. Pipe A is opened for 4 hours then it is closed, pipe B is closed 3 hours before filling of tank and tank C is opened the whole time. Calculate the time taken to fill the tank.
Which of the following were relevant considerations for prohibition on sale of liquor along national and state highways in State of Tamil Nadu v. K. Balu, (2017) 2 SCC 281?
1. There is no fundamental right under Article 19(1)(g) to trade in liquor.
2. Under Article 47, the State is under a duty to raise the level of nutrition, standard of living and improve public health.
3. An exception to permit the sale of liquor along a stretch of the highway which passes through the limits of city is arbitrary and violative of Article 14.
4. Right to life under Article 21 signifies a right to live with human dignity, free of noxious substances and intoxicants.
Choose the correct answer from the following: