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The mean heights of 3 groups of students consisting of 20, 16 and 14 students are 1.67m, 1.50m and 1.40m Respectively. What is the mean height of all the students?
Twice a number, x, is added to 5, the result is at least 11. What is the range of values of x?
Ax > 3
Bx ≥ 3
Cx ≤ 3
Dx < 3
Ex ≤ -3
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Question 64
neco2002
What must be added to 3x2 - 5x to make it a perfect square?
A\(\frac{36}{25}\)
B\(\frac{25}{36}\)
C-\(\frac{25}{36}\)
D-\(\frac{5}{6}\)
E-\(\frac{6}{5}\)
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Question 65
neco2002
When a shirt is sold for N12000.00, a loss of 20% is recorded. How much should it be sold for to gain 20%?
AN4800.00
BN400
CN1800.00
DN1500.00
EN960.00
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Question 66
neco2002
Three sets of rice x, y and z are sold for N15.00, N35.00 and N60.00 respectively per kg. It they are mixed in the ratio of 1: 3 : 2, what is the cast per kg of the mixture?
AN45.00
BN42.50
CN40.00
DN35.50
EN25.80
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Question 67
neco2002
If sin θ = \(\frac{\sqrt{3}}{2}\) and 0 < θ < 180°, what is cos θ ?
A\(\frac{1}{\sqrt{3}}\)
B\(\frac{2}{\sqrt{3}}\)
C\(\frac{1}{2}\)
D\(\frac{\sqrt{3}}{2}\)
E\(\sqrt{3}\)
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Question 68
neco2002
What are the factors of 2x\(^2\) - xy - 3y\(^2\) ?
A(2x + 3y)(x + y)2
B(2x + 3y)(x + y)
C(2x + 3y)(x - y)
D(2x - 3y)(x + y)
E(2x - 3y)(x - y)
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Question 69
neco2002
A quadratic equation with roots -1\(\frac{1}{2}\) and \(\frac{1}{4}\) is
Ax2 + 3x + 4 = 0
B8x2 + 10x + 3 = 0
C8x2 +12x – 3 = 0
D8x2 + 10x-3.= 0
E8x2 + 12x + 3 = 0
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Question 70
neco2002
One bag contains 4 white balls and 2 black balls. Another bag contains 3 white balls and 5 black balls, if one ball is drawn from each bag, what is the probability that both are white?
A\(\frac{2}{3}\)
B\(\frac{3}{8}\)
C\(\frac{7}{24}\)
D\(\frac{1}{4}\)
E\(\frac{1}{24}\)
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Question 71
neco2002
A wire was shaped to form a square of area 81cm\(^2\). An equilateral triangle was formed by the same wire,What is the length of a side of the triangle formed?
A3cm
B6cm
C9cm
D12cm
E27cm
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Question 72
neco2002
What is the total surface area of a cylinder with radius 2cm and height 1.5cm, correct to 2 significant figures?
A440cm\(^2\)
B220cm\(^2\)
C88cm\(^2\)
D44cm\(^2\)
E22cm\(^2\)
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Question 73
neco2002
The probability that a student will pass a mathematics test is ⅗. If 3 students are chosen at random, what is the probability that at least 2 of them will pass the test?
A\(\frac{27}{125}\)
B\(\frac{9}{25}\)
C\(\frac{72}{125}\)
D\(\frac{76}{125}\)
E\(\frac{81}{125}\)
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Question 74
neco2002
If \(\frac{t}{L}\) = \(\sqrt{(\frac{4\pi^2}{g}})\), what is the value of g when L = 4.5; t = 5 secs
A3.20 ms2
B11.31 ms2
C32.00 ms2
D56.57 ms2
E160.00 ms2
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Question 75
neco2002
The angle of elevation of the top (T) of a palm tree from a point (R) on the ground is 30°. The distance from R to the base (B) of the palm tree is 120m. What is the distance between T and R?
A60m
B60\(\sqrt{3}\)m
C80\(\sqrt{3}\)m
D120\(\sqrt{3}\)m
E240m
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Question 76
neco2002
Two parallel chords of a circle are respectively 46cm and 40cm long. If the radius of the circle is 25cm and the centre of the circle lies between the two chords, what is the distance between the chords?
A7cm
B15cm
C22cm
D26cm
E30cm
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Question 77
neco2002
A petrol attendant recorded the number of vehicles that bought petrol from him for -3 hours and recorded 12 cars and 27 buses. What is the probability that the next vehicle will be a bus?
A\(\frac{4}{39}\)
B\(\frac{4}{13}\)
C\(\frac{5}{13}\)
D\(\frac{6}{13}\)
E\(\frac{9}{13}\)
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Question 78
neco2002
If sin 30° = 0.5, what is the cosine of its complement?
A-0.866
B-0.5
C0.5
D0.866
E1
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Question 79
neco2002
What is the total surface area of a cuboid whose dimensions are 12cm × 8cm × 3cm?
A312cm\(^2\)
B96cm\(^2\)
C36cm\(^2\)
D24cm\(^2\)
E12cm\(^2\)
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Question 80
neco2002
If , sT = \(\sqrt{\frac{[(a + T)T]}{a}}\) what does T equal?
