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how many values of 'p' satisfy the equation:

Find the number of ways in which 5 boys and 5 girls be seated in a row so that no 2 girls may sit together

CAPITAL OF THE STATE TAMILNADU

two pipes a and b can fill up a half full tank in 1.2hrs.the tank was initially empty.pipe b was kept open for half the time required by pipe a to fill the tank by itself.then, pipe A was kept open for as much time as was required by pipe B to fill up 1/3 of the tank by itself.it was then found that the tank was 5/6 full.the least time in which any of the pipes can fill the tank fully is?

find the wrong no. in this number series.
2 14 91 546 3002 15015

Can i have different types of questions asked on simple interest?

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 how u found the height and radius ?

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