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

Follow Quotesrain

• 
• Result
• Today's Puzzle
  • Previous Puzzles
  • Prize & Rules
• Discussion Board
  • Suggestion Board
  • Trending Articles
• Maths Tricks
• Placement Papers
  • Placement Questions
  • Interview Experience
  • Placed user Comment
  • Group Discussion
• English APP
• login

• Placement Papers
• /
• MBA
• /
• Numerical Ability
• /
• Sequence and Series

MBA Question Papers:

MBA Select Another Category Sequence and Series Select Another Topic

Exam

• ACIO 119
• AIEEE 334
• AMCAT 2636
• Assessment 108
• Bank 22
• CAT 988
• CMAT 82
• Cocubes 39
• Elitmus 2952
• Exam 39
• Gate 846
• GMAT 107
• Gmate 29
• GRE 469
• IIT-JEE 471
• ITC 28
• Maths Olympiad 205
• MBA 3480
• MCA 32
• Other 159
• Others 25
• R-SAT 111
• Self 68

MBA Question Topics

Category (7)

General Ability (7)

• General Knowledge(7)

HR Interview (7)

• Interview(7)

Logical Reasoning (47)

• Blood Relations(9)
• Coding Decoding(7)
• Cryptography(4)
• Decision Making and Problem Solving(2)
• General Mental Ability(6)
• Letter Series(1)
• Logical Sequences(3)
• Mathematical Reasoning(2)
• Number Series(7)
• Seating Arrangement(4)

Numerical Ability (171)

• Age Problem(4)
• Algebra(9)
• Alligation or Mixture(5)
• Arithmetic(6)
• Averages(6)
• Clocks and Calendars(3)
• Co-ordinate geometry(1)
• Complex Numbers(1)
• Data Interpretation(2)
• Data Sufficiency(1)
• Geometry(10)
• Height and Distance(2)
• LCM and HCF(3)
• Number System(23)
• Percentage(11)
• Permutation and Combination(18)
• Probability(8)
• Profit and Loss(7)
• Quadratic Equations(1)
• Ratio and Proportion(7)
• Sequence and Series(2)
• Simple & Compound Interest(2)
• Time and Work(11)
• Time Distance and Speed(11)
• Trigonometry(1)

Programming (2)

• Puzzles(1)
• Technical(1)

Verbal Ability (11)

• Miscellaneous(9)
• Synonyms(1)

Advertisements

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

Advertisements

Read Solution (2) :

SUMIT  (8 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  (8 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)  

Please Login to Read Solution.

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

• Login
• Register

Resend

Male Female India United States United Kingdom AfghanistanAlbaniaAlgeriaAndorraAngolaAnguillaAntigua/BarbudaArctic OceanArgentinaArmeniaArubaAssortedAustraliaAustriaAzerbaijanBahamasBahrainBangladeshBarbadosBelarusBelgiumBelizeBeninBermudaBhutanBoliviaBosnia/HerzegovinaBotswanaBrazilBruneiBulgariaBurkina FasoBurma (Myanmar)BurundiCambodiaCameroonCanadaCape VerdeCaribbeanCaribbean SeaChadChileChinaColombiaCongo, Dem.Congo, Rep.Costa RicaCroatiaCubaCyprusCzech RepublicDenmarkDjiboutiDominicaDominican RepublicEast TimorEcuadorEgyptEl SalvadorEquatorial GuineaEritreaEstoniaEthiopiaFijiFinlandFranceGabonGambiaGeorgiaGermanyGhanaGreeceGreek IslesGreenlandGrenadaGuadeloupeGuatemalaGuineaGuinea-BissauGuyanaHaitiHondurasHungaryIcelandIndiaIndian OceanIndonesiaIranIraqIrelandIsraelItalyJamaicaJapanJordanKazakhstanKenyaKiribatiKorea (north)Korea (south)KuwaitKyrgyzstanLaosLatviaLebanonLesothoLiberiaLibyaLiechtensteinLithuaniaLuxembourgMacedoniaMadagascarMalawiMalaysiaMaldivesMaliMaltaMartiniqueMauritaniaMauritiusMediterranean SeaMexicoMicronesiaMoldovaMonacoMongoliaMontserratMoroccoMozambiqueNamibiaNauruNepalNetherlandsNetherlands AntillesNew ZealandNicaraguaNigerNigeriaNorwayOceaniaOmanPakistanPalauPanamaPapua New GuineaParaguayPeruPhilippinesPolandPortugalPuerto RicoQatarRomaniaRussian FederationRwandaSamoaSan AndresSan MarinoSao Tome/PrincipeSaudi ArabiaSenegalSeychellesSierra LeoneSingaporeSlovakiaSloveniaSomaliaSouth AfricaSpainSri LankaSt. BartsSt. Kitts/NevisSt. LuciaSudanSurinameSwazilandSwedenSwitzerlandSyriaTaiwanTajikistanTanzaniaThailandTogoTongaTrinidad/TobagoTunisiaTurkeyTurkmenistanTuvaluUgandaUkraineUnited Arab EmiratesUnited KingdomUnited StatesUruguayUzbekistanVanuatuVatican CityVenezuelaVietnamYemenZambiaZimbabwe Select State Andaman/Nicobar Is Andhra Pradesh Arunachal Pradesh Assam Bihar Chandigarh Chhattisgarh Dadra/Nagar Haveli Daman/Diu Goa Gujarat Haryana Himachal Pradesh Jammu/Kashmir Jharkhand Karnataka Kerala Lakshadweep Madhya Pradesh Maharashtra Manipur Meghalaya Mizoram Nagaland New Delhi Orissa Pondicherry Punjab Rajasthan Sikkim Tamil Nadu Tripura Uttar Pradesh Uttarakhand West Bengal I am Student Un Employed Employed Student Un Employed Employed

Sponsored Links

Advertisements

Challenger of the Day

Dimple

India

Punjab

Time: 00:01:33

Points

19

Maths Quotes

THE ESSENCE OF MATHEMATICS IS NOT TO MAKE SIMPLE THINGS DIFFICULT BUT TO MAKE DIFFICULT THINGS SIMPLE.

anne.11

MATHEMATICS IS THE BUILDING BLOCK OF ALL SCIENCES AND ENGINEERING

Lukman Hussaini Tambuwal

Placed User Comments

M4Math helped me a lot.

Vipul Chavan 4 years ago

Thanks m4 maths for helping to get placed in several companies.
I must recommend this website for placement preparations.

yash mittal 5 years ago

• 2526K+Registerd user
• 1769K+Engineers
• 757K+MBA Asprirant
• 3K+Enginnering College
• 250+Company Exam
• 150K+Interview Questions

• Site Links

• Home
• Result
• Today's Puzzle
• Discussion Board
• Maths Tricks
• Advertise with us
• Contact Us

• Useful Info

• Maths Quotes
• Previous Puzzles
• Prize
• Privacy Policy
• Disclaimer and Copyright
• Terms and Conditions
• Sitemap

• Placement papers

• TCS Placement Paper
• HCL Placement Paper
• INFOSYS Placement Paper
• IBM Placement Paper
• SYNTEL Placement Paper
• TECHNICAL Interview
• HR Interview

All rights are reserved to @m4maths.com