1
JEE Main 2018 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
Let S = { $$x$$ $$ \in $$ R : $$x$$ $$ \ge $$ 0 and

$$2\left| {\sqrt x - 3} \right| + \sqrt x \left( {\sqrt x - 6} \right) + 6 = 0$$}. Then S
A
contains exactly four elements
B
is an empty set
C
contains exactly one element
D
contains exactly two elements
2
JEE Main 2018 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row on a shelf so that the dictionary is always in the middle. The number of such arrangements is :
A
at least 750 but less than 1000
B
at least 1000
C
less than 500
D
at least 500 but less than 750
3
JEE Main 2018 (Offline)
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The sum of the co-efficients of all odd degree terms in the expansion of

$${\left( {x + \sqrt {{x^3} - 1} } \right)^5} + {\left( {x - \sqrt {{x^3} - 1} } \right)^5}$$, $$\left( {x > 1} \right)$$ is
A
2
B
-1
C
0
D
1
4
JEE Main 2018 (Offline)
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Let A be the sum of the first 20 terms and B be the sum of the first 40 terms of the series
12 + 2.22 + 32 + 2.42 + 52 + 2.62 ...........
If B - 2A = 100$$\lambda $$, then $$\lambda $$ is equal to
A
496
B
232
C
248
D
464
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