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Question: 368 of 375

There are 76 persons. 53 can read hindu,46 can read times,39 can read deccan and 15 can read all.if 22 can read hindu and deccan and 23 can read deccan and times then what is the number of persons who read only times and hindu

18
This question is related to Accenture Interview
Ravindra

Answered On : Jun 4th, 2005

No it must be 16....
Since H+D=22
T+D=23
ALL=15
then 76=22+23+15+(H+T)
H+T=76-60=16...

1 User has rated as useful.

Vaibhav Jain

Answered On : Jul 1st, 2005

Sorry friends
but the correct answer is 17

Mubeen

Answered On : Jul 2nd, 2005

16 makes sense

kavita kanyal

Answered On : Jul 7th, 2005

correct ans is 17.

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D.V. Ananda Babu

Answered On : Jul 15th, 2005

To=H+T+D-HT-TD-HD+TDH
76=53+46+39-X-22-23+15
76=108-X
X=108-76
HT=32

HT=32 -15
HT=17.,

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here

Answered On : Jul 17th, 2005

Correct answer is 17, not 18

Jagdish AHuja

Answered On : Aug 17th, 2005

pj

Answered On : Aug 27th, 2005

aUbUc=(a+b+c)-(a^b)-(B^c)-(c^a)+(a^b^c)

U union
^ intersection

Himanshu Mendiratta

Answered On : Aug 30th, 2005

Answer is 17>u can try by making vann dia or by using

(aubuc)=a+b+c-(a^b)-(a^c)-(b^c)+(a^b^c)

barani

Answered On : Nov 17th, 2005

n(H u T u D) = n(H) + n(T) + n(D) + n(H n T n D) - n(H n D) - n( T n D) - n(H n T)

--> 76 = 53+46+39+15 - 22 - 23 - x

--> 76 = 153 - 55 - x

--> x = 153 - 131

--> x = 22.

So, number of people who can read only Hindu and Times is 22.

kalpana

Answered On : Dec 5th, 2005

n(H u T u D) = n(H) + n(T) + n(D) + n(H n T n D) - n(H n D) - n( T n D) - n(H n T)--> 76 = 53+46+39+15 - 22 - 23 - x--> 76 = 153 - 45 - x--> x = 153 - 121--> x = 32.

naveen

Answered On : Dec 22nd, 2005

Total no of persons should be 72, for the problem to make sense.

Test it using venn daigram.

Breakdown-

only hindu- 10,only times- 2,only deccan- 9

only hindu and deccan-7,only deccan and times-8,

Answer - only hindu and times-21

pavitra

Answered On : Jan 8th, 2006

H+D=22H+D+T=15H+T=xH=53thereforeH=(H+D)+(H+D+T)+(H+T)53=22+15+xx=16

anz333

Answered On : Jan 18th, 2006

guys,think!!

answer is 32,the method by kalpana is the right one.. barani was also right but out a 55 where it shud be 45 so answer got,22 was wrong.. good effort by everyone..

the argument continues???

jack sparrow

ravindra garg

Answered On : Jan 31st, 2006

View all answers by ravindra garg

AUBUC = A + B + C - AUB - BUC  - CUA + 3(A^B^C)

76= 53+46+39-22-23-TH + 3(15)

CALCULATE HT

Omprakash

Answered On : Mar 28th, 2006

sameer kumar

Answered On : Apr 11th, 2006

n(HuTuD)=n(H)+n(T)+n(D)-n(HnD)-n(DnT)-n(TnH)+n(HnTnD)

76=53+46+39-22-23-n(TnH)+15

76=153-45-n(TnH)

n(TnH)=153-45-76

n(TnH)=153-121

n(TnH)=32

ANS=32

1 User has rated as useful.

pranav

Answered On : Jul 10th, 2006

It is a straight forward problem with the answer being 17...Add up all factors and equate to 76

jitendra rao

Answered On : Jul 22nd, 2006

by using vein diagram the answer is 17 vein diagram is easy method to calculate this type of problems

sandeepy

Answered On : Jul 24th, 2006

i think using venn diagram gives u 16......check it out......

lasya

Answered On : Jul 30th, 2006

hey guys

did u notice they havnt clearly mentioned that 22 ppl read ONLY indu and times

this could include the ppl who read all the 3 papers

else d ans is 22

ridhi

Answered On : Nov 29th, 2006

its 16..acc tp prob rule-53=76-22-x+15x=16

arti

Answered On : Dec 20th, 2006

ans is 17

oko

Answered On : Jan 28th, 2007

I would like to share my answer and approach, even if I may not take the accenture exam.Those who speak Hindu and Deccan (HD) include those who speak all the languages. When we subtract (22 (HD) -15 (ALL)), we get the people who speak only the HD combination. We do the same thing (23 (DT) -15 (ALL)) for people who speak only Deccan and Times (DT). This leads us to a subtraction of these people from the greater whole. For the Hindu speakers, we get (53 (H) -15 (ALL) -7 (HD)=) 31 candidates who could either be only Hindu speakers or Hindu-Times speakers. For the Times speakers, we get (46 (T) -15 (ALL) -8 (DT)=) 23 candidates. We figure that there is some intersection between these figures. So we subtract those non-candidates from the running by subtracting all Deccan speakers from the total (76 (tot) -39 (D)=37(left)). The total is the number of people we have left who can speak either Hindu, Times or Hindu-Times only. We add the possible candidates up (23+21) and from the total, subtract the people we have left (54-37(left)). The answer I got is 17. When we add all of the kinds of speakers up:ALL DECCAN HINDU TIMES DEC/HIN DEC/TIM HIN/TIM TOTAL15 9 14 6 7 8 17 76You get the correct total.

nikstronix

Answered On : May 22nd, 2007

Total(T) is given 73

and n(H+TOI+D)=15
76= 53+46+38-x-22-23+15
x = 32 ans

preet728

Answered On : Jun 5th, 2007

gaurang

Answered On : Jun 30th, 2007

only H:14
only T:6

The no. of persons reading H n T are 32(53+46+39-22-23-76+15)

only T(46-32-23+15)=6

thanasis

Answered On : Jul 19th, 2007

I calculate the answer to be 32 !!! = 15 (given by the problem) + 17 (calcd as 76-23= 37 = (31-y) + (23 -y) + y , where y represented the missing piece between H&T; this piece would be added to 15, so as to represent the ENTIRE H&T section - which is the question..

I used part Venn diagrams to portay it, and then equations to do the final calc (its been a while since I took a discrete math class..so my answer wasnt elegant).

Z

Answered On : Oct 23rd, 2007

the correct ans is 17

m_manic

Answered On : Dec 14th, 2009

Assume X persons read only times and hindu.

So 76 equal to 53+46+39-(22+23+x)+15.

solve the above we will get x equal to 32.

32 can read times and hindu. so, 32-15 ie, 17 can read only times and hindu.

m_manic

Answered On : Dec 14th, 2009

Assume X persons read times and hindu.

So 76 equal to 53+46+39-(22+23+x)+15.

solve the above we will get x equal to 32.

32 can read times and hindu. so 32-15 ie 17 can read only times and hindu.

1 User has rated as useful.

Hi!  you are right. The answer must be 16.

Given details are,

Total number of Readers = 76

Readers of Hindu & Deccan = 22
Readers of Times and Deccan = 23

And we have to find out the total number of readers who readk ONLY time and Hindu. Therefore the formula is,

i.e,  Only T & H Readers ( X )= 76 - ( 22+23+15)

==>  X= 76- 60 ===>> 16

We can conclude that the ONLY readers of Time & Hindu  is 16

Many thanks
Muhammed Kareem

prititripathi

Answered On : Feb 25th, 2011

using union law (aubuc)=a+b+c-(anb)-(anc)-(bnc)+(anbnc)

76=53+46+39+15-(22+23)-(bnc)

bnc=32-(anbnc)
bnc=32-15=17

satishp

Answered On : Dec 3rd, 2011

Ans:17

Total=d+t+h-dt-th-hd+dth
76=39+46+53-23-22-ht+15
76=108-ht
ht=108-76
ht=32

We want only times and hindu,so we subtract the value of all papers read is 15 from ht.

so the ans is 32-15=17.