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MOCKCET_PCM_2024_25
Physics :50M (Each Question carry 1M) Total Question 50
Chemistry:50M (Each Question carry 1M) Total Question 50
Mathematics:100M (Each Question carry 2M)Total Question 50
Timing :3Hrs
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A box contains 15 green and 10 yellow balls. If 10 balls are randomly drawn, one-by-one, with replacement, then the variance of the number of green balls drawn is
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2 points
4
3
2
1
Two events A and B have probabilities 0.25 and 0.50 respectively. The probability that both A and B occur simultaneously is 0.14. Then, the probability that neither A nor B occurs, is
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2 points
0.39
0.49
0.5
0.86
The negation of the statement “Getting above marks is necessary condition for Hema to get the admission in good college”
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2 points
Hema gets above marks but she does not get admission in good college
Hema does not get above marks and gets admission in good college
If Hema does not get above marks then she will not get admission in good college
Hema doesn’t get above marks or she gets the admission in good college
Other:
A box contains tickets numbered from 1 to 20, if 3 tickets are drawn one by one with replacement the probability of getting prime number exactly 2 times is :
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2 points
36/125
9/125
81/125
18/125
Other:
The equation of the normal to the curve y = x (2 - x) at the point (2, 0) is
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2 points
x-2y=2
x+2y=2
x+1=2
x-1=2
Other:
The statement, ‘if it is raining then I will go to college’ is equivalent to
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2 points
If it is not raining, then I will not go to college
If I do not go to college, then it is not raining.
If I go to college then it is raining.
Going to college depends on my mood.
Other:
If u and v are unit vectors and theta is the acute angle between them, then 2u ✘ 3v is also a unit vector for
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2 points
No value of thetra
Exactly one value of theta
Exactly two values of theta
None of these
Other:
Which of the following is not equivalent to p => q.
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2 points
p only if q
q is necessary for q
q only if p
p is sufficient for q
Other:
Let E and F be two independent events. The probability that both E and F happen is 1/2 and the probability that neither E nor F happens is then a value of P(E)/P(F) is:
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2 points
4/3
3/2
1/3
4/12
Other:
A wire of length 2 units is cut into two parts which are bent respectively to form a square of side = x units and a circle of radius = r units. If the sum of the areas of the square and the circle so formed is minimum, then:
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2 points
(4 − π) x = πr
x=2r
2x=r
2x = (π + 4) r
. The mean age of a combined group of men and women is 25 yr. if mean age of mean is 26 and that of women is 21 , then percentage of men and women in the group is
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2 points
60,40
80,20
20,80
30,70
A polygon has 44 diagonals. The number of its sides is
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2 points
11
10
22
13
On the occasion of Deepawali festival, each student of a class sends greeting cards to the others. If there are 20 students in the class, then the total number of greeting cards exchanged by the students is
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2 points
190
380
570
None of These
Other:
If f(x) = 3x + 6 and g(x) = 4x + k and fog = gof, then k =
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2 points
-9
9
1/9
18
The two parts of 100 for which the sum of double of first and square of second part is minimum, are
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2 points
50,50
99,1
98,2
97,3
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