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Find the Iength of a diagonal of a square whose area is 288cm2.
A24cm
B48cm
C95cm
D100cm
E124cm
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Question 32
neco2005
A flagpole is placed at the top of a tower. The angles of elevation of the bottom and top of the flagpole from a point on the ground 10m away are 40° and 50° respectively. Find the length of the flagpole.
A1.8m
B3.5m
C8.4m
D11.9m
E17.3m
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Question 33
neco2005
Find the value of 2a - b if a + b = 8 and 4a - b = 22
A2
B4
C6
D8
E10
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Question 34
neco2005
What is the positive difference between the squares of 2.5 and 2.1 to 1 significant figures?
A– 2.0
B– 184
C-1.84
D2
E18.4
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Question 35
neco2005
If A(I,2,3,...,10) ; B = (-5,-4,.....,-1) ; C = (-1, 0, 1, 2,....5) List all the elements in (B ∪ C) ∩ A
A(-1,2,...5)
B(-1,1,....5)
C(1,2,..5)
D(2,3,...10)
E(1,2,...10)
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Question 36
neco2005
A car dealer sells a car and makes a profit of 15%. If the car costs N320,000.00, how much did he sell the car?
AN272,000.00
BN296,000.00
CN300,000.00
DN368,000.00
EN400,000.00
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Question 37
neco2005
A bag contains 4 blue and 8 red identical balls. If two balls are picked at random with replacement, what is the probability of picking two balls of different colours?
A1
B\(\frac{13}{26}\)
C\(\frac{5}{18}\)
D\(\frac{4}{9}\)
E\(\frac{2}{9}\)
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Question 38
neco2005
Evaluate log 18 + log6 - log16\(^{\frac{1}{2}}\)
Alog 3
Blog 9
Clog 20
D3 log 2
E3 log 3
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Question 39
neco2005
For what value(s) of x is the expression (x2 + 15x + 50) ÷ (x - 5) not defined
A-5, -10
B-10
C-5
D5
E10, 5
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Question 40
neco2005
In Δ ABC, A = 60°, C = 90° and AC = 12m. Find the Length of the hypotenuse.
A24m
B14m
C12m
D7m
E6m
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Question 41
neco2005
Find the absolute mean deviation of the sample 10, 12, 14, 11, 13.
A14.6
B14
C12
D6.2
E1.2
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Question 42
neco2005
Simplify (6 - x - x2) ÷ (x2 - 4)
A(3 + x) ÷ (x + 2)
B(x - 3) ÷ (x - 2)
C(x - 3) ÷ (x + 3)
D(3 - x) ÷ (x + 2)
E(3 - x) ÷ (x - 2)
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Question 43
neco2005
If (x - a) is a factor of bx - ax + x2 - ab, what is the other factor?
A(x + b)
B(b - a)
C(x - a)
D(a + b)
E(a - b)
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Question 44
neco2005
Mohammed is 8 years older than Joy now. In five years’ time he will be twice as old as Joy. How old is Joy now?
A1\(\frac{1}{2}\)years
B3years
C4\(\frac{1}{2}\)years
D6 years
E8 years
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Question 45
neco2005
The diagonals of a rhombus are 6cm and 8cm. Find the area of the rhombus.
A96cm2
B48cm2
C24cm2
D0.14cm2
E12cm2
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Question 46
neco2004
Find x if (x - 2)2 = 1\(\frac{7}{9}\)
A\(\frac{2}{3}\) or \(\frac{2}{7}\)
B3\(\frac{1}{3}\) or \(\frac{2}{3}\)
C3\(\frac{7}{9}\) or \(\frac{2}{7}\)
D3\(\frac{1}{3}\) or \(\frac{7}{9}\)
E\(\frac{3}{7}\) or \(\frac{2}{9}\)
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Question 47
neco2004
Express the product of 0.007 and 0.057 to two significant figures
A0.0004
B0.00039
C0.004
D0.0039
E0.04
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Question 48
neco2004
A man is 40m from the foot of a cliff of height 23m. Calculate the angle of elevation of the top of the cliff from the man
A50° 54′
B35° 06′
C30° 00′
D290 90′
E29° 54′
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Question 49
neco2004
A bag Contains 2 red, 3 blue and 4 green identical balls. If two balls are picked at random one after the other without replacement, what is the probability that both are green?
A\(\frac{1}{6}\)
B\(\frac{1}{3}\)
C\(\frac{16}{18}\)
D\(\frac{3}{8}\)
E\(\frac{4}{9}\)
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Question 50
neco2004
The diagonals of a rhombus are 16cm and 30cm long. What is the perimeter of the rhombus
