This is the Eighth thread for master mind of the day...
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Whatever be your interest, one thing is for sure – you are going to come across a lot of ‘aptitude’ questions along your way to realizing your dreams! More details HERE
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Here's the First Question for DAY 8 of Master mind of the day--
Q1.) Ram was born 30 years after his father was born. His sister, Avanti was born 25 years later after their mother was born. At present the average age of the family is 26.25 years.
Avanti will get married in 4 years from now and will leave the family.
So, the average age of the family will be 107/3 years.
What will be the age of Ram’s father?
Q2.) Amber has to weigh 6 different packets. He weighs them four at a time, weighing all possible combinations of 6 packets. The average weight of all the weighing combination is found to be 500 gms.
What is the combined weight of all the six packets?
Correct Answer will win FREE Mobile Recharge worth Rs.100!!!
The Combined weight of all the 6 packets is 3000 gms.
4 packets can be chosen out of 6 in 4C6 ways, i.e. 15 ways.
Now since avg. for each combination is 500 gms, we can say that Combined weight of each combination = 2000 gms.(500*4)
Now, since there are 15 combinations, total weight = 2000*15 gms
Now,each combination has 4 packets, total 15 combinations..so total number of packets=60, with each of the packets repeated in multiple combinations. Since there are 6 packets, Each packet features in 10 combinations . It can also be found like this : Lets consider 6 packets. A,B,C,D,E,F. If we consider A to be present in each combination,the rest 3 packets to complete the set of 4 can be selected in 5C3 ways= 10 ways.
So we can say, 10(A+B+C+D+E+F)=2000*15
so, A+B+C+D+E+F = 2000*15/10 = 3000 gms.