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Consider a triangle drawn on the X-Y plane with its three vertices at (41, 0), (0, 41) and (0, 0), each vertex being represented by its (X,Y) coordinates. The number of points with integer coordinates inside the triangle (excluding all the points on the boundary) is A 780 B 800 C 820 D 741 The number of points on x = 1 is 39. The number of points on x = 2 is 38 and so on till x = 39, which has one point. So, the total is 1+2+3+...+39 = 39∗40239∗402 = 780.
17 boxes have altogether 100 mangoes. Each box has at least one mango. Number of boxes with exactly 6, 7 and 8 mangoes is 2, 3 and 4 respectively. The maximum number of mangoes in any box is greater than eight, and there are m such boxes. What is the maximum number of mangoes that can be there in a box which makes the count of such boxes maximum?
I am continuously struggling with questions of Remainder theorem, Please let me know how to improve it
an equilateral triangle whose perimeter= 36cm,is rotated about its side to form a closed solid figure.find the volume of the solid so formed.Explain please?
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a square whose side is 2m,has its corners cut away so as to form an octagon with alll sides equal.Then the length of each side of the octagen in metres,is?
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A trader wants to sell a watch at 25% profit. If its cost price was Rs.x more, an extra profit of Rs.50 would be made on it. find x(in Rs.)
If a,b and c areintegers,is(a–b+c)>(a+b–c)? I. b is negative. II. c is positive.
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