@jashholmesIn a city 60 % of the population owns a car, 75 % owns a rickshaw, 80 % owns a scooter, and 95% owns a bicycle, what person at least owns all four of them???and 20%???
@Estallar12 I didn't get your explanation.can you please explain again. I tried it solving by finding the total sum and then trying to divide by 2 ( i couldn't do that coz finding total sum was difficult) . A must be a big number,how can 2^8 be the highest power. ? I mean that means 256(2^8) * k = A where K is not divisible by 2. isn't it ?
Yeah.
See, A = 10! ( 1 + 11 + 11*12 + ... + 100!/10! )
The term in the bracket will be even so it will also contribute 2's to A.
Nice soln..Bhai I have a doubt.. We got A = 10!( Sum of something say X).. Now there's a possibility that X may add up to a 2's multiple..in which case, answer may differ..! Plz correct me if I'm wrong..
A cricketer had played a certain number of innings during the year. He finds that if he had not played the last game when he made 20 runs, or if he had played an extra innings and made 56 runs, he would have increased his average by 1. What was his average?
Orally:
The difference of two innings (ek kum se ek jyada) gives us 56 + 20 = 76 runs, keeping the average same. So that average must be 38. This is 1 more than the actual average, so actual must be 37. regards scrabbler
Orally:The difference of two innings (ek kum se ek jyada) gives us 56 + 20 = 76 runs, keeping the average same. So that average must be 38. This is 1 more than the actual average, so actual must be 37.regardsscrabbler
good @scrabbler , i am seeing u are solving most of the questions by simple logic or orally...keep it up.
Orally:The difference of two innings (ek kum se ek jyada) gives us 56 + 20 = 76 runs, keeping the average same. So that average must be 38. This is 1 more than the actual average, so actual must be 37.regardsscrabbler
bro can you generalize this if i change the question as he scores 20 and 56 thereby increasing his average by 1.. in that case what is to be done?
Sir nahin!Yeh waala?If A= 10 ! + 12! + 14!........ 100! . Then find the highest power of 2 in A. How to solve this ?10! mein there are 5+2+1 = 8 2s. All the later terms have more than 8 2s so can be treated as 10! * E (When E stands for some Even number)So the given expression is 10!* (1 + E + E +E...+E) = 10! * (an odd number). Hence it will have 8 2s only I feel...regardsscrabbler
There was a sum in elitmus exam .......... 1024*3672 + 4152*5623 + 6413*5241 .......... this multiplication is in octal form (i.e base 8) ......... The question was ....... How many digit 6 are there in the above multiplication !! ........ Please help me about how to solve this problem !!
bro can you generalize this if i change the question as he scores 20 and 56 thereby increasing his average by 1.. in that case what is to be done?
No then I need to know the initial average....
See if he has played n innings averaging a, then he's scoring 20 + 56 = 76 , in 2 innings....so out of that 2a will go just to maintain the average. The rest will be distributed across the (n+2) innings....so if average increase by 1, then these extra runs equal (n+2)*1 and so 76 must be 2a + (n+2). We need either one of n and a to find the other.
In the given question, n was not relevant as the average was the same in both cases - 1 innings ago and one innings later. Hence the extra runs scored in those two innings was exactly 2a. regards scrabbler
@scrabbler Though it won't have any effect on answer but i think 10! * (1 + E+E+E....) there all numbers won't be E right ? they should be different even numbers. right ?
10 ! * (E+1) (odd number) even number * odd number = even number ( i think so) so how do we know in final term there are only 8 2's ? I may be horribly wrong here,but this is what i understood.
good @scrabbler , i am seeing u are solving most of the questions by simple logic or orally...
My basic mantra is laziness (am a Goan after all!) 😁 So I try to write as little as possible. It is a good habit, especially in practice....when trying to solve orally I am forced to think clearly and sometimes see stuff I would otherwise miss... regards scrabbler
@scrabbler Though it won't have any effect on answer but i think 10! * (1 + E+E+E....) there all numbers won't be E right ? they should be different even numbers. right ?
My basic mantra is laziness (am a Goan after all!) So I try to write as little as possible. It is a good habit, especially in practice....when trying to solve orally I am forced to think clearly and sometimes see stuff I would otherwise miss...regardsscrabbler
thats a good practice u following..it will help save time...
No then I need to know the initial average....See if he has played n innings averaging a, then he's scoring 20 + 56 = 76 , in 2 innings....so out of that 2a will go just to maintain the average. The rest will be distributed across the (n+2) innings....so if average increase by 1, then these extra runs equal (n+2)*1 and so 76 must be 2a + (n+2). We need either one of n and a to find the other.In the given question, n was not relevant as the average was the same in both cases - 1 innings ago and one innings later. Hence the extra runs scored in those two innings was exactly 2a.regardsscrabbler
like i meant if i take say he doesnt score 20 runs and scores 56 runs so effectively he is scoring 36 runs. if you relate it to the original problem this has to align somewhere right?