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A student appeared in the Mock CAT. The test paper contained 3 sections namely QA, DI and VA. The percentage marks in all VA was equal to the average of percentage marks in all the 3 sections. Coincidentally, if we reverse the digit of the percentage marks of QA we get the percentage marks of DI. The percentage marks in VA scored by student could be:

Correct Answer: 66
Let the percentage marks in QA =(10a + b)%Let the percentage marks in DI = (10b + a)% Let the percentage marks in VA = x%Now, according to the question, we have,$$\eqalign{ & \frac{{\left( {10{\text{a}} + {\text{b}}} \right) + {\text{x}} + \left( {10{\text{b}} + {\text{a}}} \right)}}{3} = {\text{x}} \cr & 11{\text{a}} + 11{\text{b}} + {\text{x}} = 3{\text{x}} \cr & {\text{or, x}} = \frac{{11\left( {{\text{a}} + {\text{b}}} \right)}}{2} \cr} $$Clearly, we can see that the percentage of the VA section will be a multiple of 11So, required answer will be 66

Out of 100 students of the class 20 scored an average of 40 marks, 30 scored an average of 50 marks, 50% of the remaining scored an average of 60 marks and the rest scored 100 marks. Find the average marks scored by the students.

Below is the list of answers given by students as their favorite pet. Determine the frequency of dog. dog, cat, fish, turtle, cat, rabbit, turtle, dog, cat, dog, cat, dog, dog, turtle, dog, cat, cow, fish, rabbit, dog, cat, dog, cat, cat, dog, turtle, rabbit, cat, fish, dog, turtle

Find the appropriate relation for quantity1 and quantity2 in the following question: Quantity 1: In an examination, Ankita scored 35 marks less than Puneeta. Puneeta scored 65 more marks than Meenakshi. Rakhi scored 115 marks, which is 20 marks more than Meenakshi's. Simpy scored 108 marks less than the maximum marks of the test. What approximate percentage of marks did Simpy score in the examination, if she got 67 marks more than Ankita? Quantity 2: The length of a rectangle is increased by 60%. By what percent would the width have to be decreased to maintain the same area?

In each of these questions, a question is given followed by information in three statements. You have to find out the data in which statement(s) is sufficient to answer the question and mark your answer accordingly. What are the marks scored by Abhijit in English? I. Marks scored by Abhijit in Maths are more than his marks in Science by 20. II. Total marks scored by Abhijit in Maths, Science and English are 198. III. Marks scored by Abhijit in Science are more than his marks in English by 12.

A train approaches a tunnel AB. Inside the tunnel is a cat located at a point that is $$\frac{3}{8}$$ of the distance AB measured from the entrance A. When the train whistles, that cat runs. If the cat moves to the entrance A of the tunnel, the train catches the cat exactly at the entrance. If the cat moves to the exit B, the train catches the cat at exactly the exit. The ratio of the speed of the train to that of the cat is of the order :

In an innings of a cricket match,three players A, B and C scored a total of 361 runs. If the ratio of the number of runs scored by A to that scored by B and also number of runs scored by B to that scored by C be 3 : 2, the number of runs scored by A was = ?

In an innings of a cricket match, three players A, B and C scored a total of 361 runs. If the ratio of the number of runs scored by A to that scored by B and also number of runs scored by B to that scored by C be 3 : 2, the number of runs scored by A was -

A passage is given with 5 questions following it. Read the passage carefully and choose the best answer to each question out of the four alternatives and click the button corresponding to it. Man's attitude to various animals changed many times in the course of centuries. From indifference or practicality, he went on to adoration and deification, and thento hatred. Ancient Egyptians, for example, highly appreciated the cat's ability to destroy rodents. The cat was much superior in this respect to the grass­snakes andweasels they had kept in their houses before. These proved unable to cope with hordes of rats which invaded Egypt from Asia. So the cat, a very useful animal, was ranked as a sacred animal and one of the most important animals, too. The goddess of the Moon, fertility and child­birth, Bast herself was portrayed by the Egyptians as a woman with a cat's head. Sumptuous temples were built to this goddess, where cats were kept in luxury and fed the choicest of foods. They had their own priests and votaries, more numerous as a matter of fact than any other sacred animal could boast. According to the Greek historian Herodotus, the festival in the city of Bubastis, which had a templededicated to cats, was attended by as many as 700 thousand, who brought their offerings to the goddess in the shape of figurines of her made of gold, silver andbronze and adorned with precious stones. Egyptians appreciated the cat's ability to destroy _____ .

A passage is given with 5 questions following it. Read the passage carefully and choose the best answer to each question out of the four alternatives and click the button corresponding to it. Man's attitude to various animals changed many times in the course of centuries. From indifference or practicality, he went on to adoration and deification, and thento hatred. Ancient Egyptians, for example, highly appreciated the cat's ability to destroy rodents. The cat was much superior in this respect to the grass­snakes andweasels they had kept in their houses before. These proved unable to cope with hordes of rats which invaded Egypt from Asia. So the cat, a very useful animal, was ranked as a sacred animal and one of the most important animals, too. The goddess of the Moon, fertility and child­birth, Bast herself was portrayed by the Egyptians as a woman with a cat's head. Sumptuous temples were built to this goddess, where cats were kept in luxury and fed the choicest of foods. They had their own priests and votaries, more numerous as a matter of fact than any other sacred animal could boast. According to the Greek historian Herodotus, the festival in the city of Bubastis, which had a templededicated to cats, was attended by as many as 700 thousand, who brought their offerings to the goddess in the shape of figurines of her made of gold, silver andbronze and adorned with precious stones. The cat was considered to be a _____ .

In a cricket match , five batsmen A, B, C, D and E scored an average of 36 runs. D scored 5 more than E, E scored 8 fewer than A, B scored as many as D and E combined, and B and C jointly scored 107. How many runs did E score?