2016 - JAMB Mathematics Past Questions and Answers - page 4

31
The mean of 2-t, 4+t, 3-2t, 2+t and t-1 is
A
2
B
t
C
-t
D
-2
correct option: a

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

= (\frac{10}{5}) = 2

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32
Evaluate \(\frac{12.02 \times 20.06}{26.04 \times 60.06}\), correct to three significant figures.
A
0.157
B
0.154
C
0.155
D
0.158
correct option: b

(\frac{12.02 \times 20.06}{26.04 \times 60.06}) = (\frac{241.1212}{15698.96}) = 0.154

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33
If y = 2x3 + 6x2 + 6x + 1, Find \(\frac{dy}{dx}\)
A
6x2 + 12x + 1
B
6x2 + 6x + 1
C
6x2 + 6x + 6
D
6x2 + 12x + 6
correct option: d

y = 2x3 + 6x2 + 6x + 1

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

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34
The nth term of the sequence 3, 9, 27, 81.....is
A
3 x 3n-2
B
3 x 3n-1
C
3 x 3n+2
D
3 x 3n+1
correct option: b

3,9,27,81,.....

r = (\frac{9}{8}) = 3

Tn = arn-1

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

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35
Simplify 1 - (\(\frac{1}{7}\) x 3 \(\frac{1}{2}\)) \(\div\) \(\frac{3}{4}\)
A
2
B
\(\frac{1}{3}\)
C
1
D
\(\frac{2}{3}\)
correct option: b

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})

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36
If a car travels 120km on 45 litres of petrol, how much petrol is needed for a journey of 600km?
A
720 litres
B
160 litres
C
225 litres
D
960 litres
correct option: c

120km (\to) 45litres

1km (\to) (\frac{45}{120})litres

600km (\to) (\frac{45}{120}) x 600 = 225litres

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37
Find \(\frac{dy}{dx}\). If y = 3x3 + 2x2 + 3x + 1
A
9x2 + 4x + 3
B
9x2 - 4x - 3
C
9x2 + 4x - 3
D
9x2 - 4x + 3
correct option: a

y = 3x3 + 2x2 + 3x + 1

(\frac{dy}{dx}) = 9x2 + 4x + 3

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38
Evaluate \(\int\)(sinx - 5x2)dx
A
-cosx - 10x + k
B
cosx - \(\frac{5x^3}{3}\) + k
C
-cosx - \(\frac{5x^3}{3}\) + k
D
cosx - 10x + k
correct option: c

(\int)(sin x - 5x^2) = -cosx - (\frac{5x^3}{3}) + k

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39
If N = \(\frac{p}{2}\)(\(\frac{T_1 - T_2}{T_1}\)). Find P when N = 12, T1 = 27 and T2 = 24.
A
48
B
108
C
54
D
216
correct option: d

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

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40
Solve for x and y respectively
3x - 5y = 9
6x - 4y = 12
A
\(\frac{3}{4}\), 1
B
\(\frac{4}{3}\), 1
C
\(\frac{3}{4}\), -1
D
\(\frac{4}{3}\), -1
correct option: d

3x - 5y = 9 ------x2

6x - 4y = 12 -----x1

6x - 10y = 18

-6x - 4y = 12

____________

  \(\frac{6y}{-6}\) = \(\frac{6}{6}\)<br />

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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