1
JEE Main 2016 (Online) 9th April Morning Slot
+4
-1
Let x, y, z be positive real numbers such that x + y + z = 12 and x3y4z5 = (0.1) (600)3. Then x3 + y3 + z3is equal to :
A
270
B
258
C
342
D
216
2
JEE Main 2016 (Online) 9th April Morning Slot
+4
-1
For x $$\in$$ R, x $$\ne$$ -1,

if (1 + x)2016 + x(1 + x)2015 + x2(1 + x)2014 + . . . . + x2016 =

$$\sum\limits_{i = 0}^{2016} {{a_i}} \,{x^i},\,\,$$ then a17 is equal to :
A
$${{2017!} \over {17!\,\,\,2000!}}$$
B
$${{2016!} \over {17!\,\,\,1999!}}$$
C
$${{2017!} \over {2000!}}$$
D
$${{2016!} \over {16!}}$$
3
JEE Main 2016 (Offline)
+4
-1
If the $${2^{nd}},{5^{th}}\,and\,{9^{th}}$$ terms of a non-constant A.P. are in G.P., then the common ratio of this G.P. is :
A
1
B
$${7 \over 4}$$
C
$${8 \over 5}$$
D
$${4 \over 3}$$
4
JEE Main 2016 (Offline)
+4
-1
If the sum of the first ten terms of the series $${\left( {1{3 \over 5}} \right)^2} + {\left( {2{2 \over 5}} \right)^2} + {\left( {3{1 \over 5}} \right)^2} + {4^2} + {\left( {4{4 \over 5}} \right)^2} + .......is\,{{16} \over 5}m,$$ then m is equal to :
A
100
B
99
C
102
D
101
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