Find the ratio compounded of the duplicate ratio of 4:5, the reciprocal ratio of 8:25 and the sub-du

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10 Sep 2013 Ratio

Find the ratio compounded of the duplicate ratio of 4:5, the reciprocal ratio of 8:25 and the sub-duplicate of 64:81.

OPtion

1) 4:3
2) 32:81
3) 49:36
4) 5:13
5) 16:9
6) 12:25
7) 8:9
8) 1:2
9) 1:1
10)None of these

Solution

Duplicate ration of 4:5 is 4^2:5^2 = 16:25
Reciprocal ratio of 8:25 is 25:8
Sub-duplicate ratio of 64:81 = sqrt(64);sqrt(81)= 8:9
Then required ratio is (16/25)*(25/8)*(8/9) = 16/9
option (5)

Correct Option: 5 Best Solution (25)

Harsh Poddar   11 years AGO

duplicate ratio of 4:5=16:25
reciprocal ratio of 8:25=1/8:1/25
sub duplicate ratio of 64:81=8:9
compounded ratio of 16:25,1/8:1/25,8:9
=16*1/8*8:25*1/25*9
=16:9
option 5

Like? Yes (17) | No (1)  

Rats   11 years AGO

duplicate ratio of 4:5=4^2:5^2=16:25
reciprocal ratio of 8:25=25:8
sub-duplicate ratio of 64:81=sqrt(64):sqrt(81)=8:9
compounded ratio=(16*25*8):(25*8*9)=16:9...Ans

Like? Yes (7) | No   

sanjay kumar saha   11 years AGO

duplicate ratio of 4:5 = 16:25
reciprocal ratio of 8:25 = 25:8
sub-duplicate ratio of 64:81 = 8:9
compounded ratio of 16:25,25:8,8:9 = 16:9

Like? Yes (6) | No   

susmit   11 years AGO

Duplicate ratio of 4:5 is 16:25
Reciprocal ratio of 8:25 is 25:8
Sub-Duplicate ratio of 64:81 is 8:9
= (16/25)*(25/8)*(8/9).
= 16/9.
= 16:9.
Therefore the ratio compounded of the duplicate ratio of 4:5, the reciprocal ratio of 8:25 and the sub-duplicate ratio of 64:81 is = 16:9.
Hence option no. (5)

Like? Yes (5) | No   

swati bansal   11 years AGO

(16/25)*(25/8)*(8/9)

Like? Yes (5) | No (1)  

manasa epuru   11 years AGO

16/25*25/8*8/9=16/9

Like? Yes (5) | No (2)  

veja karavadra   11 years AGO

Duplicate ratio of 4:5 is 16:25,
reciprocal ratio of 8:25 is 25:8 and
sub-duplicate of 64:81 is 8:9
so,ans is 16/25*25/8*8/9=16/9

Like? Yes (3) | No   

Shuvankar Ghosh   11 years AGO

(16/25)*(25/8)*(8/9)=16/9

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Yallapu Uday tarun kumar   11 years AGO

result=16*25*8/25*8*9=16/9

Like? Yes (4) | No (1)  

Sanampreet Singh   11 years AGO

Duplicate ratio of 4:5 is 16:25.
Reciprocal ratio of 8:25 is 25:8.
Sub Duplicate ratio of 64:81 is 8:9.
So compounded ratio is 16x25x8:25x8x9=16:9

Like? Yes (3) | No   

Rahul Kumar Mehta   11 years AGO

Duplicate ratio of 4:5 will be 16:25

sub-duplicate ratio of 64:81 will be 8:9

and reciprocal ratio of 8:25 will be 25:8

so Ratio compounded is (16:25)*(25:8)*(8:9) = 16:9

Therefore correct answer will be 16:9

Like? Yes (5) | No (3)  

ravi singh   11 years AGO

answer is 16:9

duplicate ratio of 4:5=16:25

reciprocal ratio of 8:25=25:8

and

sub-duplicate ratio of 64:81=8:9

hence compounded ratio is given by
(16*25*8)/(25*8*9)=16/9

hence option 5 is the answer

Like? Yes (3) | No (1)  

dharmendra   11 years AGO

duplicate of 4/5 is 16/25
and reciprocal of 8/25 is 25/8
and sub-duplicate of 64/81 is 8/9
So finally compounded ratio is 16/25*25/8*8/9
i.e 16/9

Like? Yes (2) | No   

saima kidwai   11 years AGO

duplicate ratio of a:b is a^2:b^2
reciprocal ratio of a:b is b:a
sub-duplicate ratio of a:b is a^(1/2):b^(1/2)
therefore,
duplicate ratio of 4:5 is 16:25
reciprocal ratio of 8:25 is 25:8
sub-duplicate ratio of 64:81 is 8:9

compounded ratio = (16/25)*(25/8)*(8/9)
= 16/9

Like? Yes (3) | No (1)  

SOMASHEKAR MACHANI   11 years AGO

duplicate ratio of a:b = a^2 : b^2 = 16:25
reciprocal ratio of a:b = b:a = 25:8
sub duplicate ratio of a:b = a^(1/2):b^(1/2)=8:9
compound ratio of (a:b),(c:d),(e:f) is ace:bdf
ie., 16*25*8:25*8*9
=16/9

Like? Yes (3) | No (1)  

ch.jyothsna   11 years AGO

duplicate ratio of 4:5 is 16:25
reciprocal ratio of 8:25 is 25:8
sub-duplicate ratio of 64:81 is 8:9
then compound ratio is multiplication of antecedent:consequent = 16:9

Like? Yes (2) | No   

praneeth   11 years AGO

duplicate ratio of a:b is a^2:b^2.sub-duplicate ratio of a:b is square root of a:square root of b.
compound ratio of a:b and c:d is ac:bd.

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Hardik Dungrani   11 years AGO

Ans is:
16*25*8/25*8*9=16:9

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sanjay singh   11 years AGO

duplicate ratio of 4:5=16:25
reciprocal ratio of8:25=25:8
sub duplicate ratio of 64:81=8:9
their compound ratio=16*25*8:25*8*9 =16:9

Like? Yes (1) | No   

Deepak Sharma   11 years AGO

duplicate ratio of 4:5= 16:25
reciprocal ratio of 8:25= 25:8
sub-duplicate ratio of 64:81= 8:9

And Compounded ratio of all these is = 16X25X8:25X8X9
=16:9
SO OPTION 5 IS CORRECT

Like? Yes (1) | No   

Devendra Marghade   11 years AGO

Duplicate ratio of 4:5=16:25
Reciprocal ratio of 8:25=25:8 and
Sub-duplicate of 64:81=8:9
So ratio compounded=(16*25*8)/(25*8*9)=16/9

Like? Yes (1) | No   

KALIDASS   11 years AGO

the duplicate ratio becomes=4^2:5^2=16:25
reciprocal ratio becomes= 25:8
sub duplicate ratio becomes=8:9
Now the compound ratio is=(16*25*8)/(25*8*9)=3200/1800=16:9

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Mariappan   11 years AGO

By Given data,

16(a) 25(b)

1/8(c) 1/25(d)

8(e) 9(f)

The compounded ratio of the ratios: (a : b), (c : d), (e : f) is (ace : bdf).

Therefore (16*1/8*8):(25*1/25*9)

=> (16:9) [Ans]

Like? Yes (2) | No (1)  

vaibhav rajhns   11 years AGO

it is simple
duplicate 16/25
reciprocal 25/8
subduplicate 8/9

so 16*25*8/(25*8*9)
=16/9

Like? Yes (1) | No (1)  

Kunal Verma   11 years AGO

duplicate ratio of 4:5= 16:25
the reciprocal ratio of 8:25 = 25:8
sub-duplicate of 64:81. = 8:9
compound ratio of the three = 16/25 * 25/8 * 8:9
= 16:9 is the answer option 5

Like? Yes (2) | No (2)