1
JEE Main 2015 (Offline)
+4
-1
If m is the A.M. of two distinct real numbers l and n $$(l,n > 1)$$ and $${G_1},{G_2}$$ and $${G_3}$$ are three geometric means between $$l$$ and n, then $$G_1^4\, + 2G_2^4\, + G_3^4$$ equals:
A
$$4\,lm{n^2}$$
B
$$4\,{l^2}{m^2}{n^2}$$
C
$$4\,{l^2}m\,n$$
D
$$4\,l\,{m^2}n$$
2
JEE Main 2014 (Offline)
+4
-1
Three positive numbers form an increasing G.P. If the middle term in this G.P. is doubled, the new numbers are in A.P. then the common ratio of the G.P. is :
A
$$2 - \sqrt 3$$
B
$$2 + \sqrt 3$$
C
$$\sqrt 2 + \sqrt 3$$
D
$$3 + \sqrt 2$$
3
JEE Main 2014 (Offline)
+4
-1
Out of Syllabus
If $${(10)^9} + 2{(11)^1}\,({10^8}) + 3{(11)^2}\,{(10)^7} + ......... + 10{(11)^9} = k{(10)^9},$$, then k is equal to :
A
100
B
110
C
$${{121} \over {10}}$$
D
$${{441} \over {100}}$$
4
JEE Main 2013 (Offline)
+4
-1
Out of Syllabus
The sum of first 20 terms of the sequence 0.7, 0.77, 0.777,........,is
A
$${7 \over {81}}\left( {179 - {{10}^{ - 20}}} \right)$$
B
$$\,{7 \over 9}\left( {99 - {{10}^{ - 20}}} \right)$$
C
$${7 \over {81}}\left( {179 + {{10}^{ - 20}}} \right)$$
D
$${7 \over 9}\left( {99 + {{10}^{ - 20}}} \right)$$
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