1
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

For an examination a candidate has to select 7 questions from three different groups $$\mathrm{A}, \mathrm{B}$$ and C. The three groups contain 4, 5 and 6 questions respectively. In how many different ways can a candidate make his selection if he has to select atleast 2 questions from each group?

A
1500
B
1800
C
2700
D
2100
2
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

The letters of the word "COCHIN" are permuted and all the permutations are arranged in alphabetical order as in an English dictionary. The number of words that appear before the word "COCHIN" is

A
48
B
96
C
192
D
360
3
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

The co-ordinate of the foot of the perpendicular from $$P(1,8,4)$$ on the line joining $$R(0,-1,3)$$ and $$Q(2,-3,-1)$$ is

A
$$ \left(\frac{-5}{3}, \frac{-2}{3}, \frac{-19}{3}\right) $$
B
$$ \left(\frac{5}{3}, \frac{2}{3}, \frac{-19}{3}\right) $$
C
$$ \left(\frac{-5}{3}, \frac{2}{3}, \frac{19}{3}\right) $$
D
$$ \left(\frac{5}{3}, \frac{2}{3}, \frac{19}{3}\right) $$
4
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { The general solution of the differential equation }(1+\tan y)(d x-d y)+2 x d y=0 \text { is } $$

A
$$y(\sin x+\cos x)=\sin x+c e^x$$
B
$$y(\sin x+\cos x)=\sin x+c e^{-x}$$
C
$$x(\sin y+\cos y)=\sin y+c e^y$$
D
$$x(\sin y+\cos y)=\sin y+c e^{-y}$$
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