1
JEE Main 2017 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If three positive numbers a, b and c are in A.P. such that abc = 8, then the minimum possible value of b is :
A
2
B
4$${^{{1 \over 3}}}$$
C
4$${^{{2 \over 3}}}$$
D
4
2
JEE Main 2017 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Let

Sn = $${1 \over {{1^3}}}$$$$ + {{1 + 2} \over {{1^3} + {2^3}}} + {{1 + 2 + 3} \over {{1^3} + {2^3} + {3^3}}} + ......... + {{1 + 2 + ....... + n} \over {{1^3} + {2^3} + ...... + {n^3}}}.$$

If 100 Sn = n, then n is equal to :
A
199
B
99
C
200
D
19
3
JEE Main 2017 (Online) 8th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If the arithmetic mean of two numbers a and b, a > b > 0, is five times their geometric mean, then $${{a + b} \over {a - b}}$$ is equal to :
A
$${{\sqrt 6 } \over 2}$$
B
$${{3\sqrt 2 } \over 4}$$
C
$${{7\sqrt 3 } \over {12}}$$
D
$${{5\sqrt 6 } \over {12}}$$
4
JEE Main 2017 (Online) 8th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
If the sum of the first n terms of the series $$\,\sqrt 3 + \sqrt {75} + \sqrt {243} + \sqrt {507} + ......$$ is $$435\sqrt 3 ,$$ then n equals :
A
18
B
15
C
13
D
29
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