Latest TCS Aptitude Question SOLUTION: sum of first 11 terms is x. sum of first 6 terms is y. sum of last 6 terms is z. What is the 6th term?

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(#M40032270) TCS Numerical Ability question find 6 th term Keep an EYE

sum of first 11 terms is x. sum of first 6 terms is y. sum of last 6 terms is z.

What is the 6th term?

Asked In TCS BHANU PRAKASH (10 years ago)

Solved anshul Read Solution (15)

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Read Solution (15) :

hemant garg  (10 years ago)

y+z-x ans
bcoz 1 to 11=x , 1to 6 = y , 6to 11 =z
if
1 to 6 + 6 to 11 =y+z
than 1 to 11 = y+z-6th term
x= y+z-6th
6th = y+z-x

Is this solution Helpfull? Yes (28) | No (3)  

anshul  (10 years ago)

(x-z-y)?
X is sum of 11 thus x-z=y-6th term
and x-y=z-6th term
so 6th term=x-y-z

Is this solution Helpfull? Yes (9) | No (8)  

Durgesh Kumawat  (10 years ago)

x-z=y-6th term
so
6th term=z+y-x

Is this solution Helpfull? Yes (7) | No   

Sindu Chittibothula  (10 years ago)

sum of eleven nos/11=x(average)
sum of eleven nos=11x
similarly,
sum of first 6 nos=6y
sum of last 6 n0s=6z
6y+6z=sum of eleven nos+6th no(since 6th no is added twice)
6y+6z=11x+6th no
ANS:6th no=6y+6z-11x

Is this solution Helpfull? Yes (5) | No (4)  

Arti Soni  (10 years ago)

ans -(x-y-z)
becoz 6th term 2 times present in y & z
so 2 times we minus 6th term from x
so ans returned in minus

Is this solution Helpfull? Yes (3) | No (2)  

Zabir Khan  (10 years ago)

y+z-x
bcoz 1 to 11=x , 1to 6 = y , 6to 11 =z
if
1 to 6 + 6 to 11 =y+z
than 1 to 11 = y+z-6th term
x= y+z-6th
6th = y+z-x

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Is this solution Helpfull? Yes (3) | No   

sharmila paul  (10 years ago)

if the question is with average not sum then....
First 1-11=x sum=11x
first 1-6=y sum=6y
last 6-11=z sum=6z
first 1-6+last 6-11 =6(y+z)
but in this the value of 6th term twice. so
6th term is 11x-(6y+6z)

Is this solution Helpfull? Yes (1) | No   

Venkatakrishna  (10 years ago)

sum of first 6 terms a/6=Y=>a=6y
sum of last 6 terms b/6=z=>b=6z
sum of first 11 terms c/11=x=>c=11x
sum of 6 th term is 6y+6z-11x

Is this solution Helpfull? Yes (1) | No   

DHAKAD NEETENDRA SINGH  (10 years ago)

bhanu prakash please specify it is AP GP or HP

Is this solution Helpfull? Yes | No (1)  

BHANU PRAKASH  (10 years ago)

sorry question is average of first 11 terms is x.average of first 6 terms is y. average of last 6 terms is y.(not sum it is average)

Is this solution Helpfull? Yes | No (1)  

PIYALI DAS  (10 years ago)

ans: y+z-x

Is this solution Helpfull? Yes | No   

aditi bose  (10 years ago)

ans : z-x+y

Is this solution Helpfull? Yes | No   

shammu  (10 years ago)

s11=2a+(11-1)d=x
s6=2a+(6-1)d=y
solving both equations
we get a=(2y-x)/2;d=(x-y)/5
t6=a+(6-1)d
t6=x/2

Is this solution Helpfull? Yes | No   

BISWAJIT NATH  (9 years ago)

6th term= y+z-x;

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OUJASWAEE DAS  (9 years ago)

It will be y+z-x

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