1
JEE Main 2014 (Offline)
MCQ (Single Correct Answer)
+4
-1
$$\mathop {\lim }\limits_{x \to 0} {{\sin \left( {\pi {{\cos }^2}x} \right)} \over {{x^2}}}$$ is equal to :
A
$$ - \pi $$
B
$$ \pi $$
C
$${\pi \over 2}$$
D
1
2
JEE Main 2014 (Offline)
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
The statement $$ \sim \left( {p \leftrightarrow \sim q} \right)$$ is :
A
equivalent to $${ \sim p \leftrightarrow q}$$
B
a tautology
C
a fallacy
D
equivalent to $${p \leftrightarrow q}$$
3
JEE Main 2014 (Offline)
MCQ (Single Correct Answer)
+4
-1
The variance of first 50 even natural numbers is
A
833
B
437
C
$${{437} \over 4}$$
D
$${{833} \over 4}$$
4
JEE Main 2014 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
A student measured the length of a rod and wrote it as 3.50 cm. Which instrument did he use to measure it?
A
A screw gauge having 100 divisions in the circular scale and pitch as 1 mm.
B
A screw gauge having 50 divisions in the circular scale and pitch as 1 mm.
C
A meter scale.
D
A vernier calliper where the 10 divisions in vernier scale matches with 9 division in main scale and main scale has 10 divisions in 1 cm.
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