IIT JEE_Maths_Sequences and Series_7 online Test

Given
and
are in G.P., then
are in ____.
A.P.
G.P.
H.P.
None of the above
If the A.M. and H.M. of two numbers is 27 and 12 respectively, then G.M. of the two numbers will be ____.
9
18
24
36
If
are in A.P., then
shall be in ____.
A.P.
G.P.
H.P.
None of the above

if
are in A.P.; while
if
are in H.P., then the value of
will be ____.
1
2
3
9
In the four numbers first three are in G.P. and last three are in A.P. whose common difference is 6. If the first and last numbers are same, then first will be ____.
2
4
6
8
The numbers
will be in ____.
A.P.
G.P.
H.P.
None of the above
If
are in H.P., then
are in ____.
A.P.
G.P.
H.P.
None of the above
If
are in A.P., then
are in ____.
A.P.
G.P.
H.P.
None of the above
Jairam purchased a house in Rs. 15000 and paid Rs. 5000 at once. Rest money he promised to pay in annual installment of Rs. 1000 with 10% per annum interest. How much money is to be paid by Jairam? ____.
21555
20475
20500
20700
A G.P. consists of an even number of terms. If the sum of all the terms is 5 times the sum of the terms occupying odd places, then the common ratio will be equal to ____.
2
3
4
5