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JEE Main Ultimate Online Test Series - 2027
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1
JEE Main 2022 (Online) 26th June Evening Shift
Numerical
+4
-1
If a1 (> 0), a2, a3, a4, a5 are in a G.P., a2 + a4 = 2a3 + 1 and 3a2 + a3 = 2a4, then a2 + a4 + 2a5 is equal to ___________.
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2
JEE Main 2022 (Online) 25th June Morning Shift
Numerical
+4
-1
Out of Syllabus
For a natural number n, let $${\alpha _n} = {19^n} - {12^n}$$. Then, the value of $${{31{\alpha _9} - {\alpha _{10}}} \over {57{\alpha _8}}}$$ is ___________.
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3
JEE Main 2022 (Online) 25th June Morning Shift
Numerical
+4
-1
Out of Syllabus
The greatest integer less than or equal to the sum of first 100 terms of the sequence $${1 \over 3},{5 \over 9},{{19} \over {27}},{{65} \over {81}},$$ ...... is equal to ___________.
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4
JEE Main 2021 (Online) 31st August Evening Shift
Numerical
+4
-1
The number of 4-digit numbers which are neither multiple of 7 nor multiple of 3 is ____________.
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