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The friends whose ages from a G.P. divid...

The friends whose ages from a G.P. divide a certain sum of money in proportion to their ages. If they do that three years later, when the youngest is halfg the age of the oldest, then he will receive 105 rupees more that the he gets now and the middle friends will get 15 reupees more that he gets now, then ages of the friends are

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The correct Answer is:
`12,18,27`
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Direction: Read the given information and answer below questions. There are seven persons A, B, C, D, E, F and G sitting in a row facing north direction but not necessarily in the same order. Each one has a different age (in years), i.e., 4, 15, 17, 19, 21, 23 and 40 but not necessarily in the same order. The person whose age is 19 years is sitting between C and F. F is sitting 3rd to the right of E whose age is 6 years more than that of B. A sits just immediately left of B whose age is a multiple of 5 but not more than 20. Age of F is the sum of the ages of E and G. There is only one person who sits to the immediate right of F. C whose age is a two digit prime number sits 3rd to the right of the person whose age is 4 years. Age of D is two years less than the age of G. Three of the following four are alike in a certain way and so form a group. Which of the following does not belong to the group?

8 persons namely A, B, C, D, E, F, G and H are sitting around a square table facing towards center. 4 of the persons are sitting in 4 corners while 4 of the persons are sitting in the middle of the sides. They have different ages. Those who sit in the corners having the ages multiple of 3. Those who sit at the middle of the sides having the ages multiple of 2. A sits 2nd to the right of the one who has the age of 44. A is an immediate neighbour of the one who is 39 years old. Two persons sit between B and having the age of 39. B has not the age of 44. E sits 2nd to the left of B. D is immediate right of the person having age of 15. Three persons sit between H and the one having age of 15. The difference between the ages of H and the one who is 2nd to the left of H is 6. D is older than H. Immediate neighbours of D are younger than D. Person having age 22 sits 2nd to the right of the person having age 10. Age of A is not 10. G sits immediate left of the person having age of 22. Age of G is 51. Age of C is greater than 20. Age of C is 24 ages more than F. Age of F is 3 years more than age of A. How many persons sit between the one who is of 15 years old and the one who is of 12 years old, when counted anticlockwise from the one who is of 15 years old ?

8 persons namely A, B, C, D, E, F, G and H are sitting around a square table facing towards center. 4 of the persons are sitting in 4 corners while 4 of the persons are sitting in the middle of the sides. They have different ages. Those who sit in the corners having the ages multiple of 3. Those who sit at the middle of the sides having the ages multiple of 2. A sits 2nd to the right of the one who has the age of 44. A is an immediate neighbour of the one who is 39 years old. Two persons sit between B and having the age of 39. B has not the age of 44. E sits 2nd to the left of B. D is immediate right of the person having age of 15. Three persons sit between H and the one having age of 15. The difference between the ages of H and the one who is 2nd to the left of H is 6. D is older than H. Immediate neighbours of D are younger than D. Person having age 22 sits 2nd to the right of the person having age 10. Age of A is not 10. G sits immediate left of the person having age of 22. Age of G is 51. Age of C is greater than 20. Age of C is 24 ages more than F. Age of F is 3 years more than age of A. Who sits 2^(nd) right of the one who sits immediate left of one whose age is 51 years old ?

Study the following information carefully and answer the given questions. There are six people i.e. P, Q, R, S, T and U sitting in a circular table with equidistance to each other and some of them are facing towards the centre of the table and the rest are facing outside the table. Not more than two people sit together who face the same direction. There are three married couples. Note: Husband and wife do not sit adjacent to each other. The age of the husband is more than his wife’s age. If the age of the husband is an even number then the age of the wife is an odd number and vice-versa. The one who is 49 years old sits second to the right of S. The one who is 43 years old is the spouse of the one whose age is a perfect square of a number. The husband of T sits to the immediate right of the one who is 43 years old. S sits opposite to U who does not sit adjacent to P. S does not sit to the immediate right of P. The one who is 51 years sits second to the left of S. The one who is 43 years old sits second to the right of P. The wife of S is 5 years younger than S. T is 7 years younger than her husband. The difference between the ages of T and P is 6 years. Q is not the neighbour of T. The one who is 43 years old faces outside the table. How many people sit between T and the one who is the husband of P when counted from the left of T?

A lad was asked his age by his friend. The lad said , "The number you get when you subtract 25 times my age from twice the square of my age will be thrice your age". If the friend's age is 14, then the age of the lad is:

Three boys are aged 2 years, 4 years and 8 years. They went to divide seventy rupees in the ratio of their ages. How much money would each get?

RESONANCE-SEQUENCE & SERIES -EXERCISE -1 PART -I RMO
  1. Find the sum of integers from 1 to 100 that are divisible by 2 or 5...

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  2. The sum of three numbers in A.P. is 27, and their product is 504, find...

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  3. The friends whose ages from a G.P. divide a certain sum of money in pr...

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  4. The roots of the equation x^(5)-40x^(4)+ax^

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  5. Let T(n) denotes the n ^(th) term of a G.P. with common ratio 2 and (l...

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  6. If a,b,c are in A.P. and if (b-c) x^(2)+(c-a) x+(a-b)=0 and 2 (c+a) x^...

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  7. Along a road lies an odd number of stones placed at intervals of 10m. ...

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  8. Determine all pairs (a,b) of real numbers such that 10, a,b,ab are in ...

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  9. If sqrt(1+1/(1^2)+1/(2^2))+sqrt(1+1/(2^2)+1/(3^2))+sqrt(1+1/(3^2)+1/(4...

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  10. If n is any positive integer, then find the number whose square is und...

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  11. Find the sum of infinite terms of the series : (3)/(2.4) + (5)/(2.4.6)...

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  12. If S(1),S(2),S(3),"…….",S(2n) are the same of infinite geometric serie...

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  13. Find the sum to n terms of the series :1^2+(1^2+2^2)+(1^2+2^2+3^2)+dot...

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  14. Let a (l) = (7)/(4) ((2)/(3)) ^( l -1), j in N.lf b (1) = a (j) ^(2)...

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  15. The sequence 9, 18, 27, 36, 45, 54,….. consists of successive mutiple ...

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  16. As show in the figure , the five circles are tangent to one another co...

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  17. The arithmetic mean of the nine number in the given set {9,99,999, ......

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  18. Let a sequence whose n ^(th) term is {a (n)} be defined as a (1) = 1...

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  19. If x = (1 ^(2))/(1) =+ (2 ^(2))/( 3) + (3 ^(2))/( 5) +.....+ (1001 ^(2...

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  20. Let K is a positive Integer such that 36 +K , 300 + K , 596 + K are th...

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