MATHEMATICS | Study Mode

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Question 11
A

S + 2

B

S - 2

C

S2 + 2

D

S2 - 2

Explanation

\(S = { \sqrt{t^2-4t+4}} \)
\( S = { \sqrt{(t-2)(t-2)}}\)

S = t - 2

t = S + 2


Correct option: A
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Question 12
A

12

B

20

C

2

D

4

Explanation

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Correct option: A
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Question 13
A

42

B

63

C

18

D

21

Explanation

Let f(p) = 6p3 - p2 - 47p + 30

Then by the remainder theorem,

(p - 3): f(3) = remainder R,

i.e. f(3) = 6(3)3 - (3)2 - 47(3) + 30 = R

162 - 9 - 141 + 30 = R

192 - 150 = R

R = 42


Correct option: A
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Question 14
A

15

B

10

C

200/5

D

120/5

Explanation

P \(\propto\) mu, p \(\propto \frac{1}{q}\)

 

p = muk ................ (1)

 

p = \(\frac{1}{q}k\).... (2)

 

Combining (1) and (2), we get

 

P = \(\frac{mu}{q}k\)

 

4 = \(\frac{m \times u}{1}k\)

 

giving k = \(\frac{4}{6} = \frac{2}{3}\)

 

So, P = \(\frac{mu}{q} \times \frac{2}{3} = \frac{2mu}{3q}\)

 

Hence, P = \(\frac{2 \times 6 \times 4}{3 \times \frac{8}{5}}\)

 

P = \(\frac{2 \times 6 \times 4 \times 5}{3 \times 8}\)

 

p = 10


Correct option: B
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Question 15
A

s varies inversely as r2 and t.

B

s varies directly as r2 and t2 .

C

s varies directly as r and t.

D

s varies inversely as r and t2 .

Explanation

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Correct option: A
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Question 16
A
x > 4
B
x < 4
C
x > 4
D
x < 4
Explanation

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Correct option: B
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Question 17
MATHEMATICS Q 17 image
A

y = x2 3x + 2

B

y = x2 x 1

C

y = x2 + x 2

D

y = x2 x 2

Explanation

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Correct option: D
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Question 18
A

2 < x < 3

B

-1 < x < 5

C

x < 1

D

x < 5

Explanation

 Solve for x in |x-2|<3

| x − 2 | < 3 

x − 2 < ± 3

Set up the positive portion of the ± solution.

x − 2 < 3

Move all terms not containing x to the right side

x < 5

Set up the negative portion of the ± solution.

x − 2 < − 3

Move all terms not containing x to the right side 

Add 2 to both sides 

x < − 3 + 2 

x < − 1

The solution to the equation includes both the positive and negative portions of the solution. 

− 1 < x < 5 (B) 


Correct option: B
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Question 19
A
3
B
5
C
5
D
2
Explanation

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Correct option: B
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Question 20
A

3n+1n+1

B

3n+1n-1

C

3n-1n+1

D

1-3nn+1

Explanation

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Correct option: A

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