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question_answer1) Robert has a rectangular field whose area is 8 m2. To alter the shape of field he reduces the length of the field by 5 m and increase the breadth by 3 m, which in turn reduces the area of the field by 8 m2. On the other hand if he increases the length by 3 m and breadth by 2 m, the area is increased by 74 m2. The original dimension of his field was.
question_answer2) Thomas has a garment factory where the shirts and trousers are made. He got an order from a school to prepare the uniform for the children of the school. He found that 2 men and 5 boys can finish the lot in 4 days, while 3 men and 6 boys can finish the same lot in 3 days. In how many days can one man alone finish the lot?
question_answer3) Smith lives at Delhi and works at Chennai. He travels to his office by train. There are two trains from his home to his office. The first train travels at the speed 5 km/h more than its usual speed, while the second train travels at the speed of 3 km/h slower than its usual speed. The first train takes 3 hour less for the same journey and the second train takes 3hour more for the same journey. The distance between the Delhi and Chennai is, if the usual speed of both the train is same.
question_answer4) Bravo studies at Canada and lives in a hostel. During winter break he decides to go to Brazil which is 370 km away from the hostel. He travels the distance partly by train and partly by bus. If he covers 250 km by train and rest of the distance by bus, it takes him 4 hours for the entire journey. But, if he travels 130 km by train and the rest by bus, it takes 18 minutes longer for the same distance. Find the speed of the train and that of the bus.
question_answer5) In a laboratory, there are solutions of acid and base of different concentrations. Mary works in a laboratory as a l1ab assistant and has to perform different types of tests of the patients. To test for sugar level in the blood she needs a special solution which is prepared by mixing the acids of two different concentrations. For this she needs one solution containing 60% acid and other solution containing 30% acid. In order to prepare a solution of 15 litres containing 40% acid, what should be the volume of each acid to be mixed?
question_answer6) Peterson is a jeweler and works in a jewelers shop. He was given two gold bars of 18 carat and 12 carat gold and was asked to make a gold bar of 16 carat gold of weight 120 gm. In what ratio he should mix the two bars so as to obtain the desired gold bar, provided the pure gold is of 24 carat.
question_answer7) Katherine studies in a senior secondary school. A math test was conducted as a part of monthly routine and she scores 50 marks, getting 4 marks for each correct answer and losing 2 marks for each wrong answer. Had she been awarded 5 marks for each correct answer and deducted 3 marks for each wrong answer, she would have scored 60 marks. The total number of questions in the test was.
question_answer8) There is two friends Jack and Anderson. Jack said to Anderson if you give me hundred of your shares, then I will be twice as rich as you are. At this Anderson replied that if you give me ten of your, then I will be six times as rich as you. Find the number of share each of them has.
question_answer9) Bruno invested some amount at the 15% simple interest and other amount at the 10% simple interest. If he yearly receives the interest of Rs.200. But if he interchanges the amount he would have receive Rs. 40 more as an interest. Find the amount invested by Bruno.
question_answer10) Solve the following system linear equation given by
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