This question is from CAT Mensuration in CAT Geometry.In this question, Tomatoes are grown in the shape of square for two years. It is more like an application of number theory. Mensuration Questions in the CAT exam can be solved with practical approach and thought process rather than just knowing theorems from CAT Geometry. Even if one is not completely prepared for CAT Geometry exam, he or she should be able to do well in Mensuration problems tested by the CAT Exam. Knowing Mensuration formulas is important. Make sure you master Mensuration questions for CAT exam.
Question 11: Anil grows tomatoes in his backyard which is in the shape of a square. Each tomato takes 1 cm2 in his backyard. This year, he has been able to grow 131 more tomatoes than last year. The shape of the backyard remained a square. How many tomatoes did Anil produce this year?
Let the area of backyard be x2 this year and y2 last year
∴ X2 - Y2 = 131
=> (X+Y)*(X-Y) = 131
Now, 131 is a prime number (a unique one too. Check out its properties on Google). Also, always identify the prime number given in a question. Might be helpful in cracking the solution.
=> (X+Y)*(X-Y) = 131 x 1
=> X+Y = 131
X-Y = 1
=> 2X = 132 => X = 66
and Y = 65
∴ Number of tomatoes produced this year = 662 = 4356
The question is "How many tomatoes did Anil produce this year?"
Choice C is the correct answer.
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