# MATHEMATICS (2016) | Study Mode

Question 31
A

2

B

t

C

-t

D

-2

##### Explanation

Mean = $$\frac{2 - t + 4 + t + 3 - 2t + 2 + t + t - 1}{5}$$

= $$\frac{10}{5}$$ = 2

Question 32
A
0.157
B
0.154
C
0.155
D
0.158
##### Explanation
$$\frac{12.02 \times 20.06}{26.04 \times 60.06}$$ = $$\frac{241.1212}{15698.96}$$ = 0.154

Question 33
A
6x2 + 12x + 1
B
6x2 + 6x + 1
C
6x2 + 6x + 6
D
6x2 + 12x + 6
##### Explanation
y = 2x3 + 6x2 + 6x + 1

$$\frac{dy}{dx}$$ = 6x2 + 12x + 6

Question 34
A
3 x 3n-2
B
3 x 3n-1
C
3 x 3n+2
D
3 x 3n+1
##### Explanation
3,9,27,81,.....
r = $$\frac{9}{8}$$ = 3
Tn = arn-1

Tn = 3(3)n-1 = $$\frac{3(3^2)}{3}$$

Question 35
A
2
B
$$\frac{1}{3}$$
C
1
D
$$\frac{2}{3}$$
##### Explanation
1 - ($$\frac{1}{7}$$ x 3 $$\frac{1}{2}$$) $$\div$$ $$\frac{3}{4}$$

1 - ($$\frac{1}{7}$$ x $$\frac{7}{2}$$) x $$\frac{4}{3}$$

1 - $$\frac{1}{2}$$ x $$\frac{4}{3}$$

1 - $$\frac{2}{3}$$ = $$\frac{1}{3}$$

Question 36
A
720 litres
B
160 litres
C
225 litres
D
960 litres
##### Explanation
120km $$\to$$ 45litres
1km $$\to$$ $$\frac{45}{120}$$litres
600km $$\to$$ $$\frac{45}{120}$$ x 600 = 225litres

Question 37
A
9x2 + 4x + 3
B
9x2 - 4x - 3
C
9x2 + 4x - 3
D
9x2 - 4x + 3
##### Explanation
y = 3x3 + 2x2 + 3x + 1
$$\frac{dy}{dx}$$ = 9x2 + 4x + 3

Question 38
A
-cosx - 10x + k
B
cosx - $$\frac{5x^3}{3}$$ + k
C
-cosx - $$\frac{5x^3}{3}$$ + k
D
cosx - 10x + k
##### Explanation
$$\int$$(sin x - 5x^2) = -cosx - $$\frac{5x^3}{3}$$ + k

Question 39
A

48

B

108

C

54

D

216

##### Explanation

N = $$\frac{p}{2}$$($$\frac{T_1 - T_2}{T_1}$$)
12 = $$\frac{p}{2}$$($$\frac{27 - 24}{27}$$)
24 = P($$\frac{3}{27}$$)
P = 24 x 9 = 216

Question 40
A
$$\frac{3}{4}$$, 1
B
$$\frac{4}{3}$$, 1
C
$$\frac{3}{4}$$, -1
D
$$\frac{4}{3}$$, -1
##### Explanation
3x - 5y = 9 ------x2
6x - 4y = 12 -----x1
6x - 10y = 18
-6x - 4y = 12
____________
$$\frac{6y}{-6}$$ = $$\frac{6}{6}$$

y = -1
in eq (1) 3x - 5y = 9
3x - 5(-1) = 9
3x + 5 = 9
3x = 4
x = $$\frac{4}{3}$$

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