1
JEE Main 2021 (Online) 26th August Evening Shift
Numerical
+4
-1
Let a1, a2, ......., a10 be an AP with common difference $$-$$ 3 and b1, b2, ........., b10 be a GP with common ratio 2. Let ck = ak + bk, k = 1, 2, ......, 10. If c2 = 12 and c3 = 13, then $$\sum\limits_{k = 1}^{10} {{c_k}}$$ is equal to _________.
2
JEE Main 2021 (Online) 27th July Morning Shift
Numerical
+4
-1
If $${\log _3}2,{\log _3}({2^x} - 5),{\log _3}\left( {{2^x} - {7 \over 2}} \right)$$ are in an arithmetic progression, then the value of x is equal to _____________.
3
JEE Main 2021 (Online) 25th July Morning Shift
Numerical
+4
-1
If the value of

$${\left( {1 + {2 \over 3} + {6 \over {{3^2}}} + {{10} \over {{3^3}}} + ....upto\,\infty } \right)^{{{\log }_{(0.25)}}\left( {{1 \over 3} + {1 \over {{3^2}}} + {1 \over {{3^3}}} + ....upto\,\infty } \right)}}$$

is $$l$$, then $$l$$2 is equal to _______________.
4
JEE Main 2021 (Online) 22th July Evening Shift
Numerical
+4
-1
The sum of all the elements in the set {n$$\in$$ {1, 2, ....., 100} | H.C.F. of n and 2040 is 1} is equal to _____________.
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