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\(\begin{array}{c|c} x & 1 & 2 & 3 & 4 & 5 \\ \hline f & y + 2 & y - 1 & 2y - 3 & y + 4 & 3y - 4\end{array}\)
This table shows the frequency distribution of a data if the mean is \(\frac{43}{14}\), find y
A1
B2
C3
D4
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Question 782
jamb1994
Evaluate \(\int^{1}_{-1}(2x + 1)^2 \mathrm d x\)
A3\(\frac{2}{3}\)
B4
C4\(\frac{1}{3}\)
D4\(\frac{2}{3}\)
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Question 783
jamb1994
Find the point (x, y) on the Euclidean plane where the curve y = 2x2 - 2x + 3 has 2 as gradient
A(1, 3)
B(2, 7)
C(0, 3)
D(3, 15)
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Question 784
jamb1994
If y = 3t3 + 2t2 - 7t + 3, find \(\frac{dy}{dt}\) at t = -1
A-1
B1
C-2
D2
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Question 785
jamb1994
What is the value of sin(-690)?
A\(\frac{\sqrt{3}}{2}\)
B-\(\frac{\sqrt{3}}{2}\)
C\(\frac{-1}{2}\)
D\(\frac{1}{2}\)
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Question 786
jamb1994
The angle of depression of a boat from the top of a cliff 10m high is 30. How far is the boat from the foot of the cliff?
A\(\frac{5√3m}{3}\)
B5√3m
C10√3m
D\(\frac{10√3m}{3}\)
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Question 787
jamb1994
If M(4, q) is the mid-point of the line joining L(p, -2) and N(q, p). Find the values of p and q
AP = 2, q = 4
Bp = 3, q = 1
Cp = 5, q = 3
Dp = 6, q = 2
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Question 788
jamb1994
What is the locus of a point P which moves on one side of a straight line XY, so that the angle XPY is always equal to 90o?
Athe perpendicular bisector of XY
Ba right-angled triangle
Ca circle
Da semi circle
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Question 789
jamb1994
Calculate the perimeter, in cm, of a sector of a circle of radius 8cm and angle 45o
A2\(\pi\)
B8 + 2\(\pi\)
C16 + 2\(\pi\)
D16 + 16\(\pi\)
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Question 790
jamb1994
An open rectangular box is made of wood 2cm thick. If the internal dimensions of the box are 50cm long, 36cm wide and 20cm deep, the box volume of wood in the box is
A11 520cm3
B36 000cm3
C38 200cm3
D47 520cm3
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Question 791
jamb1994
If three angles of a quadrilateral are (3y - x - z)o, 3xo, (2z - 2y - x)o find the fourth angle in terms of x, y and z
A(360 - x- y - z)o
B(360 + x + y - z)o
C(180 - x + y + z)o
D(180 - x + y + z)o
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Question 792
jamb1994
Age in years
10
11
12
Number of pupils
6
27
7
The table above shows the number of pupils in each age group in a class. What is the probability that a pupil chosen at random is at least 11 years old?
A\(\frac{27}{40}\)
B\(\frac{17}{20}\)
C\(\frac{33}{40}\)
D\(\frac{3}{20}\)
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Question 793
jamb1994
The determination of the matrix \(\begin{pmatrix} 1 & 3 & 3 \\ 4 & 5 & 6\\ 2 & 0 & 1 \end{pmatrix}\) is
A-67
B-57
C-1
D3
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Question 794
jamb1994
Solve for x and y \(\begin{pmatrix} 1 & 1 \\ 3 & y \end{pmatrix}\)\(\begin{pmatrix} x \\ 1 \end{pmatrix}\) = \(\begin{pmatrix} 4 \\ 1\end{pmatrix}\)
Ax = 3, y = 8
Bx = 3, y = -8
Cx = -8, y = 3
Dx = 8, y = -3
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Question 795
jamb1994
\(\begin{array}{c|c} \oplus mod 10 & 2 & 4 & 6 & 8 \\ \hline 2 & 4 & 8 & 2 & 6 \\4 & 8 & 6 & 4 & 2\\ 4 & 8 & 6 & 4 & 2\\ 6 & 2 & 4 & 6 & 8\\ 8 & 6 & 2 & 8 & 4\end{array}\)
The multiplication table above has modulo 10 on the set S = (2, 4, 6, 8). Find the inverse of 2
A2
B4
C6
D8
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Question 796
jamb1994
A binary operation \(\oplus\) is defines on the set of all positive integers by a \(\oplus\) b = ab for all positive integers a, b. Which of the following properties does NOT hold?
Aclosure
Bidentity
Cpositive
Dinverse
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Question 797
jamb1994
Find the nth term of the sequence 3, 6, 10, 15, 21.....
A\(\frac{n(n - 1)}{2}\)
B\(\frac{n(n + 1)}{2}\)
C\(\frac{(n + 1)(n + 2)}{2}\)
Dn(2n + 1)
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Question 798
jamb1994
Find the value of log10 r + log10 r2 + log10 r4 + log10 r8 + log10 r16 + log10 r32 = 63
A10-1
B10o
C10
D102
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Question 799
jamb1994
If the 6th term of an arithmetic progression is 11 and the first term is 1, find the common difference.
A\(\frac{12}{5}\)
B\(\frac{5}{3}\)
C-2
D2
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Question 800
jamb1994
Find the range of values of x for which \(\frac{1}{x}\) > 2 is true
