1
JEE Main 2018 (Online) 15th April Morning Slot
+4
-1
If x1, x2, . . ., xn and $${1 \over {{h_1}}}$$, $${1 \over {{h_2}}}$$, . . . , $${1 \over {{h_n}}}$$ are two A.P..s such that x3 = h2 = 8 and x8 = h7 = 20, then x5.h10 equals :
A
2560
B
2650
C
3200
D
1600
2
JEE Main 2018 (Online) 15th April Morning Slot
+4
-1
If b is the first term of an infinite G.P. whose sum is five, then b lies in the interval :
A
($$-$$ $$\infty$$, $$-$$10]
B
($$-$$10, 0)
C
(0, 10)
D
[10, $$\infty$$)
3
JEE Main 2017 (Online) 9th April Morning Slot
+4
-1
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
4
JEE Main 2017 (Online) 9th April Morning Slot
+4
-1
Out of Syllabus
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
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