The numbers and are between 2 and 18, such that

1. Their sum is 25

2. The numbers and are consecutive terms of an A.P.

3. The numbers are consecutive terms of a G.P.

The value of is |
|||||||

a) |
500 |
b) |
450 |
c) |
720 |
d) |
None of these |

The numbers and are between 2 and 18, such that

1. Their sum is 25

2. The numbers and are consecutive terms of an A.P.

3. The numbers are consecutive terms of a G.P.

The value of is |
|||||||

a) |
500 |
b) |
450 |
c) |
720 |
d) |
None of these |

1 Answer

127 votes

**(d)**

We have,

(1)

(2)

(3)

Eliminating from (1) and (2), we have

Then from (3),

Now, is not possible since it does not lie between 2 and 18. Hence, . Then from (3), and finally from (2),

Thus, and . Hence,

Also, equation is , which has imaginary roots

If are roots of the equation , then sum of product of roots taken two at a time is

127 votes

127