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Four number in G.P. such that the produc...

Four number in G.P. such that the product of their extremes is 108 and the sum of the middle two is 24 are

A

9,10,11,12

B

2,18,6,54

C

2,6,8,54

D

none of these

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The correct Answer is:
C
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MARVEL PUBLICATION-SEQUENCES AND SERIES -MULTIPLE CHOICE QUESTIONS
  1. If 2+x, 3+x, 9+x are in a G.P., then : x =

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  2. If the positive numbers 3,x,5,y are in a G.P., then : (x,y)=

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  3. Four number in G.P. such that the product of their extremes is 108 and...

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  4. Three given numbers whose sum is 24 are in an A.P. If the first is dec...

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  5. Three numbers whose sum is 18 are in AP if 2,4, 11 are added to them r...

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  6. If the 5^(th) and 8^(th) terms of a G.P. are 32 and 256 respectively ....

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  7. If 5^(th) , 8^(th) and 11^(th) terms of a G.P. are p,q and s respectiv...

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  8. If x,y,z are in G.P. then log x , log y, logz, are in

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  9. If the third term of G.P.is 4, then find the product of first five ter...

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  10. If x, 2x+ 2, 3x + 3 are in G.P. , then the fourth term is

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  11. A man borrows Rs. 8190 without interset and repays the loan in 12 mon...

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  12. If a,b,c are unequal numbers in A.P. such that a,b-c,c-a are in G.P. t...

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  13. If a, b, c are in A.P. and x, y, z are in G.P., then prove that : x^...

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  14. If a,b,c are simultaneously in an A.P. and a G.P. , then : a^(b).b^(c)...

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  15. if S is the sum , P the product and R the sum of reciprocals of n term...

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  16. The A.M. of a and c is b. If b is also the G.M. of a and c+1 then : ...

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  17. If the A.M. and G.M. of the roots of a quadratic equation in x are P a...

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  18. If the A.M. of the roots of a quadratic equation is (8)/(5) and the A....

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  19. 8^(2)+9^(2)+10^(2)+ cdots +22^(2)=

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  20. 60^(2)-59^(2)+58^(2)-57^(2)+ cdots +2^(2)-1^(2) =

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