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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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ARIHANT SSC-SEQUENCE, SERIES & PROGRESSIONS-INTRODUCTORY EXERCISE 18.1
  1. The series of natural numbers is written as follows: {:(,,1,,),(,2,3...

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  2. If you save Rs. 1 today, Rs. 2 the next day, Rs. 3 the succeeding day ...

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  3. The ratio of the 7th to the 3rd terms of an A.P. is 12:5, find the rat...

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  4. Find the sum of the first hundred even natural numbers divisible by 5:

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  5. If m times the mth term of an A.P. is equal to n times its nth term, f...

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  6. The sum of the first fifteen terms of an A.P. is 105 and the sum of th...

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  7. If the first term of an A.P. is 2 and the sum of first five terms is ...

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  8. The sum of the first six terms of an A.P. is 42. The ratio of the 10th...

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  9. The sum of n terms of two arithmetic series are in the ratio of (7n + ...

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  10. The sum of three numbers in A.P. is 15 and sum of their squares is 93....

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  11. If the nth term of an A.P. is 4n-1 , find the 30th term and the sum of...

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  12. The sum of n terms of a series is 3n^2 + 5n. Find the value of n if nt...

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  13. Find the number of terms of the A.P. 98,91,84,…must be taken to give a...

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  14. What is the greatest possible sum of the A.P. 17,14,11,…

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  15. What is the least possible sum of the A.P. -23,-19 , -15 , … :

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  16. Find the sum of all odd numbers of four digits which are divisible by ...

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  17. If a,b,c be the pth , qth and rth terms of an A.P., then p(b-c) + q(c-...

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  18. If a,b,c be respectively the sum of first p,q,r terms of an A.P. then ...

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

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

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