The average of 8 readings is 24.3, out of which the average of first two is 18.5 and that of next three is 21.2 If the sixth reading is 3 less than seventh and 8 less than eighth, what is the sixth reading?

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23 Oct 2014 Average The average of 8 readings is 24.3, out of which the average of first two is 18.5 and that of next three is 21.2 If the sixth reading is 3 less than seventh and 8 less than eighth, what is the sixth reading?: OPtion
1) 24.8
2) 26.5
3) 27.6
4) 29.4
5) 28.5
6) 22.5
7) 21.7
8) 25.5
9) 23.6
10)None of these; Correct Option: 3 Best Solution (80)

Kushagra Tiwari 10 years AGO

Let 6th reading= x
7th reading =x+3
8th reading = x+8
total sum of readings = 8*24.3
sum of first two readings = 18.5*2
for next three =3*21.2
rest = x+(x+3)+(x+8)=3x+11
8*24.3=2*18.5+3*21.2+3x+11
x=27.6

which is in option no 3

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surya 10 years AGO

total reading of 8=24.3*8=194.4
total reading for first two=37
total reading for next three=63.6
substract from these two from total then we get 93.8
to find next three numbers substract 11 from 93.8
then we 82.8
divide with 3 to get value for remaining three is 27.6 this is the 6th reading and 30.6 is the next reading and finally 35.6 is last reading

Like? Yes (2) | No

NAVEEN KUMAR 10 years AGO

LET 6TH READING=X
THEN, 7TH READING=X+3 & 8TH READING=X+8
A/Q,
24.3*8=18.5*2+21.2*3+X+X+3+X+8
=>194.4=37+63.6+11+3X
=>82.8=3X
=>X=27.6 OPTION(3)

Like? Yes (5) | No (4)

Udhaya kumar 10 years AGO

a+b / 2 = 18.5
c+d+e / 3 = 21.2
f = g+3
h = g+8
18.5*2 + 21.2*3 + g + g+3 + g+8 / 8 = 24.3
hence g = 27.6

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Sahana 10 years AGO

Ans is 27.6

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santosh kumar patel 10 years AGO

ans: 27.6

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nishu kumar 10 years AGO

x1+...x8=194.4
x1+x2=37.0
x3+x4+x5=63.6
x6=x7-3 and x6=x8-8
so putting these values
we get
x6=27.6

Like? Yes (1) | No

rahini 10 years AGO

(1+2+3+4+5+6+7+8)/8=24.3
1+2=2(18.5),3+4+5=3(21.2),6=x,7=x+3,8=x+8
(37+63.6+x+x+3+x+8)=194.3
3x+111.6=194.4
x=27.6

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vaitesh mudaliar 10 years AGO

let x1,x2,x3,x4,x5,x6,x7,x8 be d readings
sum of all d readings =24.3*8
x1+x2= 18.5*2
x3+x4+x5= 21.2*3
x6=x7-3
x6=x8-8
solving the above equations we get x6=27.6

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kamlesh pandey 10 years AGO

2*18.5+3*21.2+x=8*24.3
x=93.8
now,let 6th be y then a/c to q,
7th=y+3 and 8th=y+8 think in opposite direction
hence y+(y+3)+(y+8)=93.8
y=27.6

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abhishek kumar 10 years AGO

let sixth reading be x,
7th be x+3,
8th be x+8,
so using avg technique we have x=27.6

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khushboo goenka 10 years AGO

sum of 8 nos=24.3*8
sum of 5 nos = 18.5*2+21.2*3
sum of last 3 no=93.8
now 6th no can be x7-3 or x8-8
so x8=35.6
x6=27.6

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Jabez David 10 years AGO

6th Reading be - x
7th Reading be - x+3
8th Reading be - x+8

total sum of 8 reading is=8*24.3
sum of next 2 reading is =2*18.5
sum of next 3 reading is =3 * 21.2

sum of next reading is =x+x+3+x+8 =3x+11

8*24.3=2*18.5+3*21.2+3x+11
x=27.6
Option: 3

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MANISH KUMAR SINGH 10 years AGO

The avarage of 8 readings is 24.3*8=194.4
avarage of first 5=37+63.6=100.6
now let 8th reais x then 7th is x-5 and 6th is x-8
so 100.6+x-8+x-5+x=194.4
3x=106.8
x=35.6
so 6th reading is 35.6-8= 27.6

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abhishek sanwal 10 years AGO

s1+s2+s3+s4+s5+s6+s7+s8=194.4 -(1) ,, s1+s2=37-(2) ,, s3+s4+s5=63.6-(3)
s7-s6=3-(4) ,, s8-s6 = 8-(5)
=> put eq (3) & (2) in Eq(1) it wil gives s6+s7+s8=93.8 =>s7+s8=93.8-s6-(6)
add Eq(4) &(5) it gives s7+s8-2s6=11 => s7 +s8=11 +2s6-(7)
on comparing eq 6 nd 7
s6=27.6

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himanshu kumar 10 years AGO

all numbers=a,b,c,d,e,f,g,h
average of all 8 numbers=24.3
sum of all numbers=194.4
average of first two (a,b) numbers=18.5
sum of above two numbers=37
average of next three (c,d,e) numbers=21.2
sum of above three numbers=63.6
sixth number, f=g-3 then g=f+3
sixth number,f=h-8 then h=f+8
put all the values in sum of all 8 numbers
(a+b)+(c+d+e)+f+g+h=194.4
37+63.6+f+f+3+f+8=194.4
3f=82.8
f=82.8/3=27.6

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niraj 10 years AGO

27.6+30.6+35.6=93.8
37++63.6=100.6
24.3*8=194.4

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Chirag Ranjan Lahiri 10 years AGO

6th reading= x
7th reading =x+3
8th reading = x+8
total sum of readings = 8*24.3
sum of first two readings = 18.5*2
for next three =3*21.2
rest = x+(x+3)+(x+8)=3x+11
8*24.3=2*18.5+3*21.2+3x+11
x=27.6 (answer)

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Masood Ahmad 10 years AGO

Total Reading=8*24.3=194.4
Total reading of first two is:2*18.5=37.0
and total reading of next three is: 3*63.3
Remaining Reading of last three is:194.4-(37.0+63.6)=93.80
the last three avg is 31.26
and the sixth digit reading is:=27.6
the seventh digit reading is:=30.6
the eighth digit reading is:=35.6

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vishnuvardhan 10 years AGO

sixth term in series be x
18.5*2+3*21.2+x+x+3+x+8=8*24.3
x=27.6

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ravikant kumar 10 years AGO

x1+x2+x3+x4+x5+x6+x7+x8=24.3*8=194.4-------1
given,x1+x2=18.5*2=37,x3+x4+x5=21.2*3=63.6
let eighth =y,then sixth=y-8,seventh=y-5

put these values in equqtion 1
y-8+y-5+y=93.8
y=35.6
so,sixth =35.6-8=27.6

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BHASKAR MANDAL 10 years AGO

18.5*2 + 21.2*3+x+(x+3)+(x+8) = 24.3*8
x-> reading of 6th
=> x= 27.6
option 3

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Tania Chatterjee 10 years AGO

here,
8*24.3=2*18.5+3*21.2+x+(x+3)+(x+8)
=>3x=82.8
=>x=27.6

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Shayani Ghosh 10 years AGO

x1+X2+x3+x4+x5+x6+x7+x8=24.3*8=194.4
x1+x2=18.5*2=37
x3+X4+x5=21.2*3=63.6
x6= x7-3
x6=x8-8
x1+x2+x3+x4+x5=37+63.6=100.6
x6+x7+x8=194.4 -100.6=82.8
x6+x6+3+x6+8=82.8
x6=27.6

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Anoop Tiwari 10 years AGO

Let suppose 6th reading=x
Hence, 7th reading will be=x+3
and 8th reading=x+8
sum of all readings=8*24.3
sum of first two readings=18.5*2
for next three sum=3*21.2
rest sum=x+(x+3)+(x+8)=3x+11
8*24.3=2*18.5+3*21.2+3x+11
x=27.6

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ravi ranjan 10 years AGO

let 6 th reading=x and 7th=y and 8th=z
then x+y+z={24.3*8-(18.5*2+21.2*3)}=93.8;
x=y-3 so y=x+3;
x=z-8 so z=x+8;
replacing the value of x in above eqation
we get, x+x+3+x+8=93.8 so x=27.6

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Laxmi 10 years AGO

1).average of two=37.0
2).average of next three is=63.6
3).average of 8 readings is=194.4
194.4=37+63.6+x+(x+3)+(x+8)
194.4=111.6=3x+11
x=27.6

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danesh 10 years AGO

x1+x2+x3+x4+x5+x6+x7+x8/=194.4
x1+x2=37,x3+x4+x5=63.6 && x7=x6+3, x8=x6+8

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ANJU MURALY 10 years AGO

sum of last 3 numbers=194.4-(37+63.6)=93.8
x=y-3=z-8
x+y+z=93.8,x+x+3+x+8=93.8;3x+8=93.8
sixth number,x=(93.8-11)/3=27.6

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shekhar suman 10 years AGO

let the 6th reading be x
then, 24.3=(18.5+18.5+21.2+21.2+21.2+x+x+3+x+8)/8
=>x=27.6

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Bhanoj 10 years AGO

sum of numbers=8*24.3
sum= 2*18.5+3*21.2+x+x+3+x+8=8*24.3
x=27.6

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Reghu 10 years AGO

194.4= 37+63.6+x+x+3+x+8
3x=82.8
x=27.6

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VIKASH CHANDRA SINGH 10 years AGO

sum of 8 nos.=24.3*8=194.4
sum of 1st 2 nos.=18.5*2=37
sum of next 3 nos.=21.2*3=63.6
let 6th be x
so,7th no is x+3,eighth is x+8
so,total=194.4=37+63.6+x+x+3+x+5
=>x=27.6
ans is 3.>27.6

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KAMMILI.BALA NAGA BHARGAVI 10 years AGO

sum of 1ST two digits=37
sum of next digits=63.6
sum of 1st five digits=100.6
let 6th digit=x
then, 7th digit=x+3
8th digit=x+8
sum of 8 digits=194.4
3x+11=93.8
x=27.6

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PRIYA JAIN 10 years AGO

Total sum=24.3×8=194.4
Let 6th reading is X
Then x=(194.4-37-63.6-11)/3=82.8/3=27.6

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Monica shree 10 years AGO

ans.c)
6th reading= x
7th reading =x+3
8th reading = x+8
total sum of readings = 8*24.3
sum of first two readings = 18.5*2
for next three =3*21.2
rest = x+(x+3)+(x+8)=3x+11
8*24.3=2*18.5+3*21.2+3x+11
x=27.6

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Gajula Devendra Babu 10 years AGO

avg of 8 reading=24.3
Total 8 reading=194.4
avg of first 2 readings=18.5
total of first 2 readings=37
avg of next 3 readings=21.2
total of next 3 readings=63.6
let six readings as f;
7 th reading= f+3;
8 th reading=f+8
first 2 readings+ next 3 readings + f+f+3+f+8=194.4
3f=82.8
f=27.6
So, The Sixth Reading=27.6

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Anurag Dwivedi 10 years AGO

Answer is 27.6..itta to asaan h...iske liye kya reason dun..:)

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Rashi Bansal 10 years AGO

37 + 63.6 + 3x+ 11=194.4
so x= 27.6

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shubham sethiya 10 years AGO

8*24.3=194.4
2*18.5+3*21.2=100.6
194.4-100.6=93.8
3x+11=93.8
x=27.6

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nikhil kumar 10 years AGO

let 8 nos be and its average be
(a+b+c+d+e+x+y+z)/8 = 24.3

(a+b)/2 = 18.5 => a+b = 37
(c+d+e)/3 = 21.2 => c+d+e = 63.6
x=y-3 => y=x+3
x=z-8 => z=x+8

substituting the values
x=27.6 where x is the 6th reading.

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DIVYA MURUGESH 10 years AGO

(x1+x2+x3+x4+x5+x6+x7+x8)=(8*24.3)=194.4
x1+x2=(2*18.5)=37
x3+x4+x5=(3*21.2)=63.6
x7-x6=3
x8-x6=8
ie x6+x7+x8=194.4-(37+63.6)
3x6= 82.8
x6= 27.6

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RAKESH 10 years AGO

x6 + x7 + x8 = 194.4-63.6-37
=> x6 + x6+3 + x6+8 = 82.8
=> x6 = 27.6

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RISHABH SHARMA 10 years AGO

a+b+c+d+e+f+g+h=194.4
a+b=37
c+d+e=63.6
f=g-3
f=h-8
on solving this we get
f=27.6

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lakshmi nalluri 10 years AGO

8*24.3=2*18.5+3*21.2+3*x6+3+8
x6=27.6

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Shreya Tiwari 10 years AGO

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Abhishek Vishwakarma 10 years AGO

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prem kumar 10 years AGO

let the 8th number be x
7th number =x-5
6th number=x-8
so ((2*18.5)+(3*21.2*3)+(x-8)+(x-5)+x))=194.4
there fore x=35.6
6th number is=35.6-6=27.6

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Anand 10 years AGO

6th reading= x
7th reading =x+3
8th reading = x+8
total sum of readings = 8*24.3
sum of first two readings = 18.5*2
for next three =3*21.2
rest = x+(x+3)+(x+8)=3x+11
8*24.3=2*18.5+3*21.2+3x+11
x=27.6

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Narasapu Hari prasad 10 years AGO

The total of eight readins=24.3*8=194.4.
Sum of last three readings is 194.4-2*18.5-3*21.2=93.8.
Let sixthe reading is x, then
x+x+3+x+8=93.8.
3x+11=93.8.
3x=82.8.
X=27.6

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Sanchit Kapoor 10 years AGO

Sum of 8 readings = 8*24.3=194.4
Sum of first two readings and the next three readings respectively are 2*18.5=37 and 3*21.2=63.6 so that sum of first five readings is 100.6 and so sum of last three numbers is 194.4-100.6=93.8
It is given that a+(a+3)+(a+8)=93.8[a=6th reading]
On solving a=27.6

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ravi prakash 10 years AGO

total reading =24.4*8=194.4
sum of 5 reading=100.6(18.5*2 +21.2*3)
left reading=194.4-100.6
=93.8
a/q =x+x+3+x+8=93.8
3x+11=93.8
3x=82.8
x=27.6
ans.................

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Arijit Acharyya 10 years AGO

let the eight readings are a,b,c,d,e,f,g,h

now (a+b+c+d++e+f+g+h)/8=24.3
(a+b+c+d+e+f+g+h)=24.3*8=194.4 -------- (1)

(a+b)/2=18.5
(a+b)=37 --------- (2)

(c+d+e)/3=21.2
(c+d+e)=63.6 -------- (3)

f=g-3 or f+3=g -------- (4)

f=h-8 or f+8=h ---------- (5)
putting values of (2),(3),(4),(5) in (1) ---
37+63.6+f+f+3+f+8 = 194.4
3*f+111.6=194.4
3*f=82.8
f=27.6
option 3)

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dhanaseelan 10 years AGO

Ans is 3

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Bhavna 10 years AGO

a+b=37
c+d+e=63.6
f+g+h=x+x+3+x+8
total=194.4
3x+11=194.4-37-63.6
x=27.6

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Ritika Shrivastava 10 years AGO

Sixth term is 27.6

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Kaustav Pal Chaudhuri 10 years AGO

Let the readings be x1, x2......x8.
therfore,
(x1+x2+x3+x4+......x8)/8=24.3 ------(1)
now, (x1+x2)/2=18.5
=> x1+x2=37 ------(2)
and (x3+x4+x5)/3=21.2
=> x3+x4+x5=63.6 ------(3)
now subtituiting the values in eq (1)
(37+63.6+x6+x7+x8)/8=24.3
now, let x6=x
then x7= x+3
and x8=x+8
therfore,
(37+63.6+x+x+3+x+8)/8=24.3
=>x=27.6

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Chandra chur anand 10 years AGO

x1+x2=2*18.5=37
x3+x4+x5=3*21.2=63.6
x6=x
x7=x+3
x8=x+8
37+63.6+3x+11=194.4
3x=82.8
so x=27.6 ans

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Rakesh Kumar 10 years AGO

a1+a2+a3+a4+a5+a6+a7+a8=24.3*8=194.4
a1+a2=18.5*2=37
a3+a4+a5=3*21.2=63.6
a6=a7-3=a8-8
put this values in first equation
37+63.6+a6+(a6-3)+(a6-8)=194.4
3*a6=194.4-37-63.6+11=82.8
a6=27.6

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Vijay Menaria 10 years AGO

18.5*2 + 21.2*3 +p+p+3+p+8 = 24.3*8
3p = 82.8
p=27.6

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SURYA 10 years AGO

sum of first two no.=37
sum of next three no.=63.6
since the sixth no. is 3 less than 7th and less than 8th
then let sixth no. is x,then 7th is x+3,then 8th x+8
then 3x+11=194.4 -(63.6+37)
x=27.6
hence the sixth no is 27.6

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pritika singh 10 years AGO

a/q
ans is=27.6

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Biswajit Saha 10 years AGO

total of 8 readings = 24.3*8 =194.4
total of 1st 2 readings = 18.5*2 =37
total of next 3 readings = 21.2*3 =63.6
let sixth reading is x
37 + 63.6 + x + (x+3) +(x+8) =194.4
x = 27.6

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RenukaDevi 10 years AGO

final ans=27.6

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Ravi Kumar 10 years AGO

sum of last three numbers = 93.8
let eighth number be x and seventh number y then sixth number will be y-3 or x-8
we get two equations i) x-y=5
ii)2x+y=101.8
solving these two we get sixth number be 27.6
ans) option 3

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Amit Kumar Pal 10 years AGO

((x1+x2+x3+x4+x5+x6+x7+x8)/8)=24.3
(X1+x2+x3+x4+x5+x6+x7+x8)=24.3*8

((x1+x2)/2)=18.5
(x1+x2)=18.5*2

((x3+x4+x5)/3)=21.2
(x3+x4+x5)=21.2*3

(x6+3)=7
(x6+8)=8

(18.5*2)+(21.2*3)+x6+x6+3+x6+8=24.3*8

x6=27.6

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NIKHIL VISHNU DHURE 10 years AGO

Total reading : 8*24.3 = 194.4
total of first two reading : 18.5*2 = 37
total of next three readings : 21.2*3 = 63.6
Rem. total : 194.4-37-63.6 = 93.8
27.6 * 3 + 8 + 3 = 93.8

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Supriya_kamkar 10 years AGO

sum of 8 readings/8=24.3

sum of 8 readings=194.4

sum of 1st 2 readings/2=18.5

sum of 1st 2 readings=37

sum of 3rd 4th & 5th redings/3=21.2

sum of 3rd 4th & 5th redings=63.6

sum of last 3 readings=194.4-37-63.6=93.8

x+(x+3)+(x+8)=93.8

x=27.6

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Ashwin Dinesh 10 years AGO

(18 + 19 +21.1 + 21.2 + 21.3 + 3x + 11) = 24 * 8
This would give us x = 27.6
which is option 3.

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Swagatam Kumar Das 10 years AGO

total of 1st two=37
total of next 3 is 63.6
total of 8 no is =194.4
total of last 3 is =194.4-63.6-37
=93.8
if 7th no is x and 8th no is y
so x-3+x+y=93.8
and y-8+x+y=93.8
so y is 35.6
so 6th no is 35.6-8 =27.6

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Abhishek Porwal 10 years AGO

Given the average of first 8 readings is 24.3
so , a+b+c+d+e+f+g+h=(24.3)*8 --------> (1)
also given
a+b=18.5*2
c+d+e=21.2*3
f=g-3,
f=h-8, ----------(2)
now on putting the values of all the variable
in equation (1) we get h=35.6

put this value in equation in equation (2), we will have
f=27.6 , i.e. the sixth variable

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AMREEN 10 years AGO

average of 8 reading =24.3
then sum of all 8 readings=8*24.3=194.4
avg of first two readngs=18.5
then sum of first 2 readings=2*18.5=37
avg of next 3 readings=21.2
sum of next 3 readings=3*21.2=63.6
sum of first 5 readings=37+63.6=100.6

Let 6th reading is =X
Then 7th reading=X+3
8th reading=X+8
Sum Of first 5 readngs+6th+7th+8th=sum of all 8 readings=194.4

100.6+X+X+3+X+8=194.4
3X=194.4-111.6
3X=82.8
X=27.6
hence, 6th reading is =27.6

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Sandeep Kumar 10 years AGO

37+63.6+x+x+3+x+8=194.4
x=27.6

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Ajit Chandra Singh 10 years AGO

8*24.3=194.4
2*18.5=37
3*21.6=63.6
x+(x+3)+(x+8)=(194.4-37-63.6)
so x =27.6

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Hari Kiran 10 years AGO

(x1+x2+x3+x4+x5+x6+x7+x8)/8=24.3
given, x1+x2=37
x3+x4+x5=63.6
now, (100.6+x6+x6+3+x6+8)/8=24.3
on solving this x6=27.6

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Mithun Kumar Kesari 10 years AGO

27.6

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Rohan Jain 10 years AGO

total sum of 8 readings= 24.3 * 8 = 194.4
sum of first two readings= 18.5 * 2 = 37.0
sum of 3rd, 4th and 5th reading= 21.2 * 3 = 63.6

therefore sum of first five readings= 37.0 + 63.6 = 100.6
=>so sum of last 3 readings= 194.4 - 100.6 = 93.8

let reading, 6th=> a, 7th=>b, 8th=>c
so a + b + c = 93.8 ==> (1)

given: a=b-3 =>b=a+3 and a=c-8 => c=a+8

substitute above values in eqn (1),
=> a=27.6

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nagendrababu mudde 10 years AGO

x1+x2=2(18.5)
x3+x4+x5=3(21.2)
x1+x2+x3+x4+x5 = 37+63.6 =100.6
x1+x2+x3+x4+x5+x6+x7+x8=8(24.3)=194.4

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sanchit soni 10 years AGO

24.3*8=195.4
18.5*2=37(first 2 reading)
21.2*3=63.6

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Rishikesh Ranjan 10 years AGO

since x1+x2+x3+x4+x5+x6+x7+x8=8*24.3...................(1)
and x1+x2=18.5*2
x3+x4+x5=21.2*3
x6=x7-3
and x6=x8-8
so x7+x8=2x6+11
now putting the values in first equation we have
x6=27.6

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Dimple

India

Punjab

Time: 00:01:33

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The average of 8 readings is 24.3, out of which the average of first two is 18.5 and that of next th

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