MHT CET Maths Model Test 01 - Maharashtra Board STD 12 Science MHT - CET Questions

50

Questions

1

Question groups

5

Question types

01

MCQ

50 Q→

Sample Questions

MHT CET Maths Model Test 01 questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1MCQ1 Mark

The Standard deviation of the following frequency distribution

CI:	0 - 6	6 - 12	12 - 18
$f_i$:	2	4	6

is ______.

A
25
✓
`2sqrt(5)`
C
20
D
12

Answer: B.

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Q 2MCQ1 Mark

A random variable X has the probability distribution:

X = x	–2	–1	0	1	2
P(X = x)	4b	5b	2b	b	2b

Then the value of P(X < 1) is ______.

A
`1/7`
✓
`5/7`
C
`1/5`
D
`5/14`

Answer: B.

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Q 3MCQ1 Mark

A card is chosen from a well-shuffled pack of cards. The probability of getting an ace of spade or a jack of diamond is ______.

A
`1/13`
B
`1/52`
C
`2/13`
✓
`1/26`

Answer: D.

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Q 4MCQ1 Mark

Let the population of rabbits surviving at a time t be governed by the differential equation `(dp(t))/dt = 1/2p(t) - 200`. If p(0) = 100, then p(t) equals ______

A
`600 - 500e^{t/2}`
✓
`400 - 300e^{t/2}`
C
`300 - 200e^{(-t)/2}`
D
`400 - 300e^{(-t)/2}`

Answer: B.

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Q 5MCQ1 Mark

The solution of the differential equation `dy/dx=1+y/x+(y/x)^2` is ______.

A
`sin^-1(y/x)=logx+c`
B
`sin^-1(y/x)=-logx+c`
✓
`tan^-1(y/x)=logx+c`
D
`tan^-1(y/x)=-logx+c`

Answer: C.

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