1
JEE Main 2020 (Online) 7th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The greatest positive integer k, for which 49k + 1 is a factor of the sum
49125 + 49124 + ..... + 492 + 49 + 1, is:
A
32
B
60
C
63
D
65
2
JEE Main 2019 (Online) 12th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
If 20C1 + (22) 20C2 + (32) 20C3 + ..... + (202 ) 20C20 = A(2$$\beta $$), then the ordered pair (A, $$\beta $$) is equal to :
A
(420, 19)
B
(420, 18)
C
(380, 18)
D
(380, 19)
3
JEE Main 2019 (Online) 12th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The term independent of x in the expansion of
$$\left( {{1 \over {60}} - {{{x^8}} \over {81}}} \right).{\left( {2{x^2} - {3 \over {{x^2}}}} \right)^6}$$ is equal to :
A
36
B
- 108
C
- 36
D
- 72
4
JEE Main 2019 (Online) 12th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The coefficient of x18 in the product
(1 + x) (1 – x)10 (1 + x + x2)9 is :
A
126
B
- 84
C
- 126
D
84
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