Lcm(x,y).Lcm (y,z) . Lcm(z,x) = xyz gcd(x,y,z)none of x, y, z is an integer multiple of any other of x, y, z, find the minimum possible value of x + y + z
A square field of size 72 —72 is to be covered by rectangular tiles (with integral edges) with length to breadth ratio is 3 : 2. What is the difference between minimum and maximum number of tiles used?(A) 864 (B) 210 (C) 426 (D) 860 (E) None of these
A square field of size 72 —72 is to be covered by rectangular tiles (with integral edges) with length to breadth ratio is 3 : 2. What is the difference between minimum and maximum number of tiles used?(A) 864 (B) 210 (C) 426 (D) 860 (E) None of these
Sides of rectangle tiles = 3x and 2x
If we need to cover totally => Number of tiles required = 72*72 / (3x*2x) = 144*6/(x^2)
Number of tiles in an integer => For minimum , x = 12 and for maximum, x = 1
Sides of rectangle tiles = 3x and 2xIf we need to cover totally => Number of tiles required = 72*72 / (3x*2x) = 144*6/(x^2) Number of tiles in an integer => For minimum , x = 12 and for maximum, x = 1-> Minimum tiles = 6 , Maximum Tiles = 144*6 = 864-> Difference = 864-6 = 858 ?
the measure of interior angles of convex hexagon are in increasing AP. How many such sequences are possible if hexagon is not equiangular and all the angle degree measure are positive integers less than 150 ?
the measure of interior angles of convex hexagon are in increasing AP. How many such seuences are possible if hexagon is not equiangular and all the angle degree measure are positive integers less than 150 ?
If 'horse is black' is coded as %@$, 'horse in field' is coded as #%& and 'black board field' is coded as $&*, then what is the code for 'board is black'?
the measure of interior angles of convex hexagon are in increasing AP. How many such seuences are possible if hexagon is not equiangular and all the angle degree measure are positive integers less than 150 ?
Let the least exterior angle be (A), A > 30
Sum of exterior angles = 360
[(2*A+ 5*d)/2]*6 = 360, where d > 0 (as unequal angles)
=> 2A + 5d = 120 ----(1)
d = even, as A has to be an integer
=> d = 2,4,6,8,10 [12 onwards, A is less than or equal to 30]
If 'horse is black' is coded as %@$, 'horse in field' is coded as #%& and 'black board field' is coded as $&*, then what is the code for 'board is black'?
the measure of interior angles of convex hexagon are in increasing AP. How many such sequences are possible if hexagon is not equiangular and all the angle degree measure are positive integers less than 150 ?
If 'horse is black' is coded as %@$, 'horse in field' is coded as #%& and 'black board field' is coded as $&*, then what is the code for 'board is black'?A) *@$ (B) $*% (C) &@$ (D) #%& (E) None of these
