1
JEE Main 2020 (Online) 5th September Morning Slot
Numerical
+4
-0
The natural number m, for which the coefficient of x in the binomial expansion of

$${\left( {{x^m} + {1 \over {{x^2}}}} \right)^{22}}$$ is 1540, is .............
2
JEE Main 2020 (Online) 4th September Morning Slot
Numerical
+4
-0
Let $${\left( {2{x^2} + 3x + 4} \right)^{10}} = \sum\limits_{r = 0}^{20} {{a_r}{x^r}}$$

Then $${{{a_7}} \over {{a_{13}}}}$$ is equal to ______.
3
JEE Main 2020 (Online) 2nd September Evening Slot
Numerical
+4
-0
For a positive integer n,
$${\left( {1 + {1 \over x}} \right)^n}$$ is expanded
in increasing powers of x. If three consecutive
coefficients in this expansion are in the ratio,
2 : 5 : 12, then n is equal to________.
4
JEE Main 2020 (Online) 9th January Evening Slot
Numerical
+4
-0
If Cr $$\equiv$$ 25Cr and
C0 + 5.C1 + 9.C2 + .... + (101).C25 = 225.k, then k is equal to _____.
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