There are 30 number (1,2,3 €Ś30). In how many ways three of them can be selected such that sum of the selected numbers is multiple of three.Could solve this Q during CAT time. no more Approach plz !
Out of the 30 numbers
10 are of type = 3k , 10 of 3k + 1, 10 of 3k + 2
Now, how can we get the sum to be a multiple of 3 ?
Case 1: I take one number each from each of the group => 10C1*10C1*10C1
Case 2: I take all three from any one group => 3C2*(10C3)
Hey puys..!! I couldn't find the proper thread to ask this question..please tell me which coaching institute is better...Bjyu or Tathagat..or TIME..really confused..!!
@akanksha0411 i would suggest to either go for CL or TIME.These two are the best mentors for the CAT.They have been in this field over the long years and have produced great results. So you can go and join any one of them. But make sure you do not fully rely only on them. Remember CAT or any other entrance is a totally self excellence. You should only use them as your guide and nothing more. Baaki it's your call. ATB..
a train has to travel the distance between aurangabad and daulatabad,equal to 20 km at a constant speed.It travelled half the way with the specified speed and stopped for three minutes,to arrive at daulatabad on time,it had to increase its speed by 10 km/h for the rest of the way.next time the train stopped for 5 minutes.By what speed must it increase its speed for the remaining half of the distance to arrive at daulatabad as per schedule.
m getting answer as 20 km/h in book it is given 16km/h.ďťż
a train has to travel the distance between aurangabad and daulatabad,equal to 20 km at a constant speed.It travelled half the way with the specified speed and stopped for three minutes,to arrive at daulatabad on time,it had to increase its speed by 10 km/h for the rest of the way.next time the train stopped for 5 minutes.By what speed must it increase its speed for the remaining half of the distance to arrive at daulatabad as per schedule.
a train has to travel the distance between aurangabad and daulatabad,equal to 20 km at a constant speed.It travelled half the way with the specified speed and stopped for three minutes,to arrive at daulatabad on time,it had to increase its speed by 10 km/h for the rest of the way.next time the train stopped for 5 minutes.By what speed must it increase its speed for the remaining half of the distance to arrive at daulatabad as per schedule.m getting answer as 20 km/h in book it is given 16km/h.
a train has to travel the distance between aurangabad and daulatabad,equal to 20 km at a constant speed.It travelled half the way with the specified speed and stopped for three minutes,to arrive at daulatabad on time,it had to increase its speed by 10 km/h for the rest of the way.next time the train stopped for 5 minutes.By what speed must it increase its speed for the remaining half of the distance to arrive at daulatabad as per schedule.m getting answer as 20 km/h in book it is given 16km/h.
a ––If the data in statement (1) alone is sufficient to answer the question;b ––If the data in statement (2) alone is sufficient to answer the question;c ––If the data in both the statements together are needed to answer the question;d ––If either statement (1) alone or statement (2) alone is sufficient to answer the question;A number is picked randomly from a given set of numbers. What is the probability that it is divisible by 3?Statement 1:The set contains 10 consecutive integersStatement 2:The first number of the set is divisible by 3
c?
From 1: there are either 3 or 4 multiples of 3 From 1 and 2: there are 4 multiples of 3 So it can be answered by using both the statements together.
a ––If the data in statement (1) alone is sufficient to answer the question;b ––If the data in statement (2) alone is sufficient to answer the question;c ––If the data in both the statements together are needed to answer the question;d ––If either statement (1) alone or statement (2) alone is sufficient to answer the question;A number is picked randomly from a given set of numbers. What is the probability that it is divisible by 3?Statement 1:The set contains 10 consecutive integersStatement 2:The first number of the set is divisible by 3
a, b and c are three numbers selected from a set containing ten numbers 0 to 9. Is (a + b + c) a multiple of 9?Statement 1:Three digit number abc is a multiple of 9Statement 2:(a ´ b) + c is a multiple of 9
a, b and c are three numbers selected from a set containing ten numbers 0 to 9. Is (a + b + c) a multiple of 9?Statement 1:Three digit number abc is a multiple of 9Statement 2:(a ´ b) + c is a multiple of 9
a ––The data in statement (1) alone is sufficient to answer the question?
statement 1 is sufficient. statement 2: 145 => 1*4 + 5 = 9 and 1+4+5 = 10 009 => 0*0 + 9 = 9 and 0+0+9 = 9
a, b and c are three numbers selected from a set containing ten numbers 0 to 9. Is (a + b + c) a multiple of 9?Statement 1:Three digit number abc is a multiple of 9Statement 2:(a ´ b) + c is a multiple of 9
a, b and c are prime numbers. What is the value of a ´ b ´ c?Statement 1:a + b + c = 12Statement 2:6300 is divisible by a ´ b ´ c and 1890 is divisible by b ´ c
a €“ €“The data in statement (1) alone is sufficient to answer the question?statement 1 is sufficient.statement 2: 145 => 1*4 + 5 = 9 and 1+4+5 = 10009 => 0*0 + 9 = 9 and 0+0+9 = 9
But how can we be sure that two no.s can be same or not?
