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Divide 20 into four parts which are in A...

Divide 20 into four parts which are in A.P. and such that the product of the first and fourth is to the product of the second and third in the ratio 2:3 . Find the products of the first and fourth term of the A.P. :

A

12

B

16

C

20

D

25

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The correct Answer is:
B
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QUANTUM CAT-SEQUENCE, SERIES & PROGRESSIONS-QUESTION BANK
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  2. If a,b,c be respectively the sum of first p,q,r terms of an A.P. then ...

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  3. Divide 20 into four parts which are in A.P. and such that the product ...

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  4. The sum of first p- terms terms of an A.P. is q and the sum of first q...

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  5. Find the 6th term of the sequence 2,10,50,250,…..

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  6. Find the sum of the first 6 terms of the G.P. 3, 9/2 , (27)/(4) ,(8...

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  7. Find the sum of first five terms of the G.P 5,15,45…..

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  8. Find the G.M of 3,9,27 which are in G.P

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  9. Find the G.M of 3,6,24,48

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  10. Insert 2 geometric means between 3 and 24

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  11. If the product of five consecutive terms of G.P. is 1024, then find th...

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  12. If the product of three terms of a G.P is 729 then find the G.M of the...

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  13. The sum of an infinite GP is 18. If the first term is 6, the common ra...

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  14. Find the 15th term of the G.P -2,2,-2,….

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  15. Find the 7th term of the series -1/8 +1/4 - 1/2 + 1… :

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  16. The 5th , 8th and 11th terms of a G.P. are a,b,c respectively , then w...

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  17. The 5th and 12th terms of a G.P. are 32 and 4096 respectively . Find t...

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  18. What is the least number of terms of the G.P. 5+10 + 20 + …. Whose sum...

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  19. The A.M. of two positive numbers is 15 and their G.M. is 12 what is th...

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  20. The sum of 3 numbers in G.P.is 38 and their product is 1728 find the g...

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