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a=2b=3c=4d then a:b:c:d is...

`a=2b=3c=4d` then `a:b:c:d` is

A

12:3:6:4

B

3:4:6:12

C

6:12:4:3

D

12:6:4:3

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The correct Answer is:
D
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When two ratios are equal, then the four quantities compositing them are said to be proportiona. If a/b=c/d, then it is written a:b=c:dor a:b::c:d. Also if a/b=c/d=lamdaimpliesa=blamdaand c=dlamdaimpliesa/b=c/d =(a+-c)/(b+-d)=(""^(n)sqrt((a)^(n)+-(c)^(n)))/(""^(n)sqrt((b)^(n)+-(d)^(n)))=lamda(lamdagt0) important property of proportion : 1. If a:b=c:d,then (a+b)/(b)=(c+d)/(d)("Componendo")i.e.(a)/(b)=(c)/(d)implies(a)/(b)+1=(c)/(d)+1 2. If a:b=c"d, then (a-b)/(b)=(c-d)/(d)("Dividenod")i.e.(a)/(b)=(c)/(d)implies(a)/(b)-1=(c)/(d)-1 3. If a:b:=c:d, then (a+b)/(a-b)=(c+d)/(c-d)("Componendo and dividendo") If a/b=c/d=e/fand(2a^(4)b^(2)+3a^(2)c^(2)-5e^(4)f)/(2b^(6)+3b^(2)d^(2)-5f^(5))=((a)/(b))^(n) then teh value of n is :

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QUANTUM CAT-RATIO, PROPORTION & VARIATION-QUESTION BANK
  1. The mean proportinal between 16 and 49 :

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  2. If a:b=2:3, then (5a+b):(3a+2b) is

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  3. a=2b=3c=4d then a:b:c:d is

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  4. The fourth proportional to 4,7 and 20 is

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  5. If sqrt2:(1+sqrt3)::sqrt6:x then x=

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  6. If a/6=b/4=c/2 then (a+b+c)/b=?

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  7. If a/b=c/d,then :

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  8. If (a+b):(a-b)=3:2 the (a^(2)-b^(2)):(a^(2)+b^(2)) equals:

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  9. Two whole numbers, whose sum is 64, can not be in the ratio:

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  10. Two numbers are in the ratio 5:4. The difference between their squares...

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  11. If a,b,c,d,e,f, g are in contiued proportion, then the value of a.b.c....

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  12. If P and Q shared ₹1300 in the ratio 12:1, how much did Q get?

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  13. Rs. 3960 are divided among A, B and C so that half of A's part, one -t...

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  14. A sum of ₹21000 is divided among A,B and C such that shares of A and B...

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  15. A certain amount was divided between A and B in the ratio 7:9. If B's ...

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  16. Rs. 11250 are divided among A,B and C so that A may receive one half a...

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  17. A girl 1.2 metre tall casts a shadow 1.1 m at the time when a building...

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  18. The prices of Bajaj scooter and Bajaj pulser are in the ratio of 4:9. ...

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  19. What is the ratio whose terms differ by 40 and the measure of which...

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  20. Two numbers are in the ratio 3:5. If 9 be subtracted from each, then t...

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