1
JEE Main 2019 (Online) 8th April Evening Slot
+4
-1
The sum $$\sum\limits_{k = 1}^{20} {k{1 \over {{2^k}}}}$$ is equal to
A
$$2 - {11 \over {{2^{19}}}}$$
B
$$2 - {3 \over {{2^{17}}}}$$
C
$$1 - {11 \over {{2^{20}}}}$$
D
$$2 - {21 \over {{2^{20}}}}$$
2
JEE Main 2019 (Online) 8th April Evening Slot
+4
-1
If three distinct numbers a, b, c are in G.P. and the equations ax2 + 2bx + c = 0 and dx2 + 2ex + ƒ = 0 have a common root, then which one of the following statements is correct?
A
$$d \over a$$, $$e \over b$$, $$f \over c$$ are in G.P.
B
d, e, ƒ are in A.P
C
d, e, ƒ are in G.P
D
$$d \over a$$, $$e \over b$$, $$f \over c$$ are in A.P.
3
JEE Main 2019 (Online) 8th April Morning Slot
+4
-1
The sum of all natural numbers 'n' such that 100 < n < 200 and H.C.F. (91, n) > 1 is :
A
3221
B
3121
C
3203
D
3303
4
JEE Main 2019 (Online) 12th January Evening Slot
+4
-1
If the sum of the first 15 terms of the series $${\left( {{3 \over 4}} \right)^3} + {\left( {1{1 \over 2}} \right)^3} + {\left( {2{1 \over 4}} \right)^3} + {3^3} + {\left( {3{3 \over 4}} \right)^3} + ....$$ is equal to 225 k, then k is equal to :
A
9
B
108
C
27
D
54
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