1
JEE Main 2013 (Offline)
MCQ (Single Correct Answer)
+4
-1
At present, a firm is manufacturing $$2000$$ items. It is estimated that the rate of change of production P w.r.t. additional number of workers $$x$$ is given by $${{dp} \over {dx}} = 100 - 12\sqrt x .$$ If the firm employs $$25$$ more workers, then the new level of production of items is
A
$$2500$$
B
$$3000$$
C
$$3500$$
D
$$4500$$
2
JEE Main 2013 (Offline)
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
A multiple choice examination has $$5$$ questions. Each question has three alternative answers of which exactly one is correct. The probability that a student will get $$4$$ or more correct answers just by guessing is :
A
$${{17} \over {{3^5}}}$$
B
$${{13} \over {{3^5}}}$$
C
$${{11} \over {{3^5}}}$$
D
$${{10} \over {{3^5}}}$$
3
JEE Main 2013 (Offline)
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Distance between two parallel planes $$2x+y+2z=8$$ and $$4x+2y+4z+5=0$$ is :
A
$${3 \over 2}$$
B
$${5 \over 2}$$
C
$${7 \over 2}$$
D
$${9 \over 2}$$
4
JEE Main 2013 (Offline)
MCQ (Single Correct Answer)
+4
-1
If the lines $${{x - 2} \over 1} = {{y - 3} \over 1} = {{z - 4} \over { - k}}$$ and $${{x - 1} \over k} = {{y - 4} \over 2} = {{z - 5} \over 1}$$ are coplanar, then $$k$$ can have :
A
any value
B
exactly one value
C
exactly two values
D
exactly three values
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