Q . thr r t taps 1 , 2 ...t each of which can fill a cistern . the rate of filling of nth tap is such tht it is equal to twice tht of all the taps frm 1 to (n-1) put together . if the 18th tap can fill the empty cistern in 2 mins , then find the time in which the 15th tap alone can fill the empty cistern .need soln plz .
if first fills in x mins 2nd will fill in x/2 mins 3rd will fill in x/6 mins 4th will fill in x/18 mins . . . gp with r= 1/3 and a=x/2 17th term will be=x/2 * 1/3^16 x=4*3^16 fourteenth term=ar^13 4*3^3/2=54 minutes?
Q . thr r t taps 1 , 2 ...t each of which can fill a cistern . the rate of filling of nth tap is such tht it is equal to twice tht of all the taps frm 1 to (n-1) put together . if the 18th tap can fill the empty cistern in 2 mins , then find the time in which the 15th tap alone can fill the empty cistern .
@ScareCrow28If we have to make 7 boys sit alternately with 7 girls around a round table which is numbered then the no of ways in which this can be done is
if first fills in x mins2nd will fill in x/2 mins3rd will fill in x/6 mins4th will fill in x/18 mins...gp with r= 1/3 and a=x/217th term will be=x/2 * 1/3^16 x=3^16fourteenth term=ar^133^3/2=13.5 minutes?
Mistake hai idhar.. It should be x*1/3^16
And Then the ans should be 14th term = ar^13 = x * 1/3^13 = 2*3^16 * 1/3^13 = 54
@ScareCrow28If we have to make 7 boys sit alternately with 7 girls around a round table which is numbered then the no of ways in which this can be done is why not 6! for boys??
Table is numbered. So seats are already distinct. Normally we divide n!/n because the seats are assumed to be effectively identical.... regards scrabbler
@ScareCrow28If we have to make 7 boys sit alternately with 7 girls around a round table which is numbered then the no of ways in which this can be done is why not 6! for boys??
Because the seats are numbered.. So There are 7 "diff" positions for boys.. there is no symmetry left
Q . thr r t taps 1 , 2 ...t each of which can fill a cistern . the rate of filling of nth tap is such tht it is equal to twice tht of all the taps frm 1 to (n-1) put together . if the 18th tap can fill the empty cistern in 2 mins , then find the time in which the 15th tap alone can fill the empty cistern .need soln plz .
Q: How many nos. (n) are there b/w 1 and 200 such that n/2, n/3 and (2n+1)/5 are all composite natural nos.?
no has to be of the form 6k 12 12k+1/5 12k should end in 4 or 9 9 is not possible k should end in 2,7 200/6=33 k can be 2,7,12,17,22,27,32 12*2+1/5=5 not composite 12*7+1/5=17 not composite 12*12+1/5=29 not composite
Q . thr r t taps 1 , 2 ...t each of which can fill a cistern . the rate of filling of nth tap is such tht it is equal to twice tht of all the taps frm 1 to (n-1) put together . if the 18th tap can fill the empty cistern in 2 mins , then find the time in which the 15th tap alone can fill the empty cistern .
1) the area of the circle circumscribing three circles of unit radius touchnig each other is ?2)find the ratio of diamter of the circles inscribed in and circumscribing an equilateral triangle to its height. ?
1) the area of the circle circumscribing three circles of unit radius touchnig each other is ?2)find the ratio of diamter of the circles inscribed in and circumscribing an equilateral triangle to its height. ?
3) Circles are drawn with four vertices as the center and radius equal to the side of square. Ifthe square is formed by joining the mid points of another square of side 2rt6, find the area common to all the four circles ?
1) the area of the circle circumscribing three circles of unit radius touchnig each other is ?2)find the ratio of diamter of the circles inscribed in and circumscribing an equilateral triangle to its height. ?