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? Pick:
A) 4225 B) 4096 C) 4356 D) Insufficient Data E) None of these
DETAILED SOLUTION   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   4356orrect 4356hoice (4356)
<result>C</result>
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?