1
JEE Main 2019 (Online) 12th April Morning Slot
+4
-1
Out of Syllabus
For x $$\varepsilon$$ R, let [x] denote the greatest integer $$\le$$ x, then the sum of the series $$\left[ { - {1 \over 3}} \right] + \left[ { - {1 \over 3} - {1 \over {100}}} \right] + \left[ { - {1 \over 3} - {2 \over {100}}} \right] + .... + \left[ { - {1 \over 3} - {{99} \over {100}}} \right]$$ is :
A
- 153
B
- 135
C
- 133
D
- 131
2
JEE Main 2019 (Online) 12th April Morning Slot
+4
-1
Let Sn denote the sum of the first n terms of an A.P. If S4 = 16 and S6= – 48, then S10 is equal to :
A
- 320
B
- 380
C
- 460
D
- 210
3
JEE Main 2019 (Online) 10th April Evening Slot
+4
-1
Out of Syllabus
The sum
$$1 + {{{1^3} + {2^3}} \over {1 + 2}} + {{{1^3} + {2^3} + {3^3}} \over {1 + 2 + 3}} + ...... + {{{1^3} + {2^3} + {3^3} + ... + {{15}^3}} \over {1 + 2 + 3 + ... + 15}}$$$$- {1 \over 2}\left( {1 + 2 + 3 + ... + 15} \right)$$ is equal to :
A
620
B
1240
C
1860
D
660
4
JEE Main 2019 (Online) 10th April Evening Slot
+4
-1
Let $$a$$, b and c be in G.P. with common ratio r, where $$a$$ $$\ne$$ 0 and 0 < r $$\le$$ $${1 \over 2}$$ . If 3$$a$$, 7b and 15c are the first three terms of an A.P., then the 4th term of this A.P. is :
A
$$a$$
B
$${7 \over 3}a$$
C
5$$a$$
D
$${2 \over 3}a$$
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