Puys help me out in these 3 Qs
1.Rallis has got the order from Switzerland to export 80, 96, 64 and 128 bottle of Rose, Orange, green and Baidam syrup respectively. He wants to send consignment in minimum boxes of capacity of 64 bottles, however boxes should have equal number of different variety of bottles. For the above purpose he can add more bottle. Again boxes can be kept empty by 1 bottle only so as to prevent breakage. How many Baidam syrup cant be sent?
2.Aryan and Nandini are siblings. They participated in two different competition i.e. swimming and wrestling respectively. Aryan participated in swimming and Nandini in wrestling. Both were awarded rank between 1 to 50 (including 1 and 50). What is the probability that difference between their ranks is not more than 10 rank?
Options :9/25 ,17/40,4/10,3/10
3.Points A, B and C are randomly selected on the circumference of a circle. What is the probability of angle ABC being acute?
2nd question:total cases 4 d ranks will b 50 *50
n d cases where d differences b/w thr ranks is not more than 10 will be 940( to calculate 940 consider ranks indivisually for eg. if aryan's rank is 1 nandini can hv 11 ranks;aryans rank is 2 den nandini can hv 12 ranks dis goes on increasin by 1 till aryans rank is 11 after dis if aryan's rank is in b/w 11 to 40 den nandini can hv 21 ranks 4 eachn from aryans rank 40 nandini will hv 20 ranks dis goes on decreasin till arans rank is 50)
from d above u get 940
last step: 940/(50*50) ans is approximately 9/25
3rd question: draw a circle n construct any chord AB nw consider d point diametrically opp. to A(call it X) you will see that as you chose a pt. C b/w
b and x the angle abc become obtuse. thus the ans will be atleast 1/2. if c is taken b/w A and B den also d angle will be acute thus some value has to be added to 1/2, nw this value depends on distance b/w A n B so we take the mean of 2 extreme values of B ( i.e. closest and farthest from A) closest will be very close to zero and farthest can be a point very close to X thus (0+pr)/2 thus probablity becomes 1/2+ = 1/2 +1/4 = 3/4