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The chances of three independent events X, Y, Z occurring are \(\frac{1}{2}\), \(\frac{2}{3}\), \(\frac{1}{4}\) respectively. What are the chances of Y and Z only occurring?
A\(\frac{1}{8}\)
B\(\frac{1}{24}\)
C\(\frac{1}{12}\)
D\(\frac{1}{4}\)
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Question 1713
jamb1993
Calculate the standard deviation of the following data: 7, 8, 9, 10, 11, 12, 13.
A2
B4
C10
D11
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Question 1714
jamb1993
A number is selected at random between 20 and 30, both numbers inclusive. Find the probability that the number is a prime
A\(\frac{2}{11}\)
B\(\frac{5}{11}\)
C\(\frac{6}{11}\)
D\(\frac{8}{11}\)
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Question 1715
jamb1993
\(\begin{array}{c|c} Class & Frequency\\ \hline 1 - 5 & 2\\6 - 10 & 4\\11 - 15 & 5\\16 - 20 & 2 \\ 21 - 25 & 3\\26 - 30 & 2\\31 - 35 & 1\\36 - 40 & 1 \end{array}\)
Find the median of the observation in the table given
A11.5
B12.5
C14.0
D14.5
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Question 1716
jamb1993
The mean of the ages of ten secondary school pupils is 16 but when the age of their teacher is added to it the men becomes 19. Find the age of the teacher
Estimate the mode of the frequency distribution above
A13.2g
B15.0g
C16.8g
D17.5g
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Question 1718
jamb1993
The following marks were obtained by twenty students in an examination: 53, 30, 70, 84, 59, 43, 90, 20, 78, 48, 44, 60, 81, 73, 50, 37, 67, 68, 64, 52. Find the numbers of students who scored at least 50 marks
A6
B10
C13
D14
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Question 1719
jamb1993
Quantities in the proportions 1, 4, 6, 7 are to be represented in a pie chart. Calculate the angle of the sector with proportion 7
A20o
B80o
C120o
D140o
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Question 1720
jamb1993
If two angles of a triangle are 30° each and the longest side is 10cm. Calculate the length of each of the other sides.
A5cm
B4cm
C3√3 cm
D\(\frac{10\sqrt{3}}{3}\)cm
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Question 1721
jamb1993
If sin \(\theta\) = cos \(\theta\), find \(\theta\) between 0o and 360o
A45o, 225o
B135o, 315o
C45o, 315o
D135o, 225o
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Question 1722
jamb1993
The angle between latitudes 30oS and 13oN is
A17o
B33o
C43o
D53o
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Question 1723
jamb1993
Find the area of the sector of a circle with radius 3m, if the angle of the sector is 60o
A4.0m2
B1m2
C4.7m2
D5.0m2
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Question 1724
jamb1993
find the radius of a sphere whose surface area is 154cm2 (\(\pi = \frac{22}{7}\))
A7.00cm
B3.50cm
C3.00cm
D1.75cm
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Question 1725
jamb1993
The three sides of an isosceles triangle are length of lengths (x + 3), (2x + 3), (2x - 3) respectively. Calculate x.
A5
B1
C3
D6
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Question 1726
jamb1993
Calculate the length in cm. of the arc of a circle of diameter 8cm which subtends an angle of 22\(\frac{1}{2}\)o at the centre of the circle
A2\(\pi\)
B\(\pi\)
C\(\frac{2}{3}\)
D\(\frac{\pi}{2}\)
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Question 1727
jamb1993
A rectangular polygon has 150o as the size of each interior angle. How many sides has the polygon?
A12
B10
C9
D8
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Question 1728
jamb1993
A man's initial salary is N540.00 a month and increases after each period of six months by N36.00 a month. Find his salary in the eighth month of the third year
AN828.00
BN756.00
CN720.00
DN684.00
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Question 1729
jamb1993
If k + 1; 2k - 1, 3k + 1 are three consecutive terms of a geometric progression, find the possible values of the common ratio
A0, 8
B-1, \(\frac{5}{3}\)
C2, 3
D1, -1
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Question 1730
jamb1993
A binary operation \(\ast\) is defined on a set of real numbers by x \(\ast\) y = xy for all real values of x and y. If x \(\ast\) 2 = x. Find the possible values of x
