1
JEE Main 2016 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
The sum of all real values of $$x$$ satisfying the equation $${\left( {{x^2} - 5x + 5} \right)^{{x^2} + 4x - 60}}\, = 1$$ is :
A
$$6$$
B
$$5$$
C
$$3$$
D
$$-4$$
2
JEE Main 2016 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
If all the words (with or without meaning) having five letters,formed using the letters of the word SMALL and arranged as in a dictionary, then the position of the word SMALL is :
A
$${46^{th}}$$
B
$${59^{th}}$$
C
$${52^{nd}}$$
D
$${58^{th}}$$
3
JEE Main 2016 (Offline)
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
If the number of terms in the expansion of $${\left( {1 - {2 \over x} + {4 \over {{x^2}}}} \right)^n},\,x \ne 0,$$ is 28, then the sum of the coefficients of all the terms in this expansion, is :
A
243
B
729
C
64
D
2187
4
JEE Main 2016 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
If the $${2^{nd}},{5^{th}}\,and\,{9^{th}}$$ terms of a non-constant A.P. are in G.P., then the common ratio of this G.P. is :
A
1
B
$${7 \over 4}$$
C
$${8 \over 5}$$
D
$${4 \over 3}$$
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