Latest MBA Aptitude Question SOLUTION: N the set of natural numbers is partitioned into subsets S1 = (1), S2 = (2,3), S3 ={4,5,6), S4 = {7,8,9,10} and so on.The sum of the elements of the subset S50 is??CAT 1990

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Previous Question: Two cars A and B are travelling with velocities 47 Kmph and 94 Kmph respectively. Car A starts to move towards east at 9 AM. Car B starts to move east at 12 PM. But at 11:55 AM Car A stops at a petrol station to fill its tank for 5 minutes and then starts again at 12:00 PM.Find the ratio of the distances traveled by the two cars from the starting point when they meet ?

1) 1:1
2) 2:1
3) 13:7
4) None of these
Next Question: A boy multiplies 987 by a certain number beginning with 5 and obtains 559981 as his answer.If in the answer ,both 9's are wrong,correct answer will be

1) 553681
2) 555181
3) 555681
4) 556681

(#M40014841) MBA Numerical Ability question number systems, progressions Keep an EYE

N the set of natural numbers is partitioned into subsets S1 = (1), S2 = (2,3), S3 ={4,5,6), S4 = {7,8,9,10} and so on.The sum of the elements of the subset S50 is??CAT 1990

1) 61250
2) 65525
3) 42455
4) 62525

Asked In MBA (11 years ago)

Unsolved Read Solution (2)

Is this Puzzle helpful?   (10)   (7) Submit Your Solution Sequence and Series

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Read Solution (2) :

SUMIT  (7 years ago)

s1=(1) s2(2,3), s3(4,5)................

we have to find sum of set s50( ) ??

Look each set carefully numbers seems to be like 1,2,3,4,5,6,7,8,9,10,..............

hence s50 set contain 50 element

and s49 contain 49 element

then sum of 1st 49 terms 1+2+3+4+5+6+7+8+9+10,..............48+49

n(n+1)/2 =49(49+1)/2=1225

that means last element of s49 is 1225.


hence first element of s50 is start from 1226

and last element is 1225+50=1275.

so the element in the s50(1226,1227,1228.............1275)

so sum= n/2(2a+(n-1)d) by airthemetic mean formula

put the value

=> 50/2(2*1226+(50-1)1)

=>625625

option 4 is right answer

Is this solution Helpfull? Yes (1) | No   

SUMIT  (7 years ago)

There's a nice formula that says: The sum 1+2+3+...+n = (n)(n+1)/2
So, 1+2+3+4+27+28+.......48+49 = (49)(50)/2, which equals 1225
This means there are 435 numbers in the subsets from S1 to S50.
In other words, S49 = {1177,1178.1179..............1225}

So, S50 = {1226,1227.1228,..............1275}
We're asked to find the sum of 1226+1227+1228+,..............+1275

There several different options here, but the fastest is to use the answer choices to our advantage.

Notice that if all 30 numbers in S50 were 1226 (the smallest number in the set), then the sum would be (50)(1226) = 61300
This means that the sum of 1226+1227+1228+,..............+1275 must be greater than 61250 (eliminate answer choice (1),(3)

Now notice that if all 50 numbers in S50 were 1275 (the biggest number in the set), then the sum would be (50)(1275) = 63750
This means that the sum of 1226+1227+1228+,..............+1275 must be less than 63750(eliminate answer choices (2)

This leaves us with 4, the correct answer.

Is this solution Helpfull? Yes | No (1)  

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Previous Question: Two cars A and B are travelling with velocities 47 Kmph and 94 Kmph respectively. Car A starts to move towards east at 9 AM. Car B starts to move east at 12 PM. But at 11:55 AM Car A stops at a petrol station to fill its tank for 5 minutes and then starts again at 12:00 PM.Find the ratio of the distances traveled by the two cars from the starting point when they meet ?

1) 1:1
2) 2:1
3) 13:7
4) None of these
Next Question: A boy multiplies 987 by a certain number beginning with 5 and obtains 559981 as his answer.If in the answer ,both 9's are wrong,correct answer will be

1) 553681
2) 555181
3) 555681
4) 556681

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