Mathematics looks at measurement, relationships, and properties of numbers and groups using numbers and symbols. Important topics in math include arithmetic, algebra, geometry, and calculus.
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Question 1601: If the function f(fx) = x3 + 2x2 + qx - 6 is divisible by x + 1, find q
Options:
A) -5
B) -2
C) 2
D) 5
Show Answer
The correct answer is A .
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Question 1602: Find the mean deviation of 1, 2, 3 and 4.
Options:
A) 2.5
B) 2.0
C) 1.0
D) 1.5
E) 1.2
Show Answer
The correct answer is C .
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Question 1603: PQR is the diagram of a semicircle RSP with centre at Q and radius of length 3.5cm. If QPT = 60o. Find the perimeter of the figure PTRS. =
Options:
A) 25cm
B) 18cm
C) 36cm
D) 29cm
E) 25.5cm
Show Answer
The correct answer is A .
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Question 1604: A particle p moves between points S and T such that angle SPT is always constant. Find the locus of P.
Options:
A) it is a straight line perpendicular to ST.
B) it is a quadrant of a circle with ST as diameter
C) it is a perpendicular bisector of ST
D) it is a semi-circle with ST as diameter
Show Answer
The correct answer is D .
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Question 1605: Find the distance between two towns p(45o N, 30oW) and Q(15oS, 30oW) if the radius of the earth is 7000km. []
Options:
A) km
B) km
C) km
D) km
Show Answer
The correct answer is C .
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Question 1606: Simplify
Options:
A) 2x/(x + 1)(x−3)
B) 2/(x + 1)(x−1)
C) 2x/(x + 1)2
D) 2x(x+1)2
Show Answer
The correct answer is B .
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Question 1607: If k + 1; 2k - 1, 3k + 1 are three consecutive terms of a geometric progression, find the possible values of the common ratio
Options:
A) 0, 8
B) -1,
C) 2, 3
D) 1, -1
Show Answer
The correct answer is B .
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Question 1608: If 0.0000152 x 0.042 = A x 108, where 1 A < 10, find A and B.
Options:
A) A = 9, B = 6.38
B) A = 6.38, B = -9
C) A = -6.38, B = -9
D) A = -9, B = -6.38
Show Answer
The correct answer is B .
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Question 1609: The first and last term of a linear sequence (AP) are 6 and 10 respectively. If the sum of the sequence is 40. Find the number of terms.
Options:
A) nth = 3
B) nth = 4
C) nth = 5
D) nth = 6
Show Answer
The correct answer is C .
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Question 1610:
The angle of elevation and depression of the top and bottom of another building, measured from the top of a 24 m tall building, is 30° and 60°, respectively. Determine the second building's height.
Options:
A) 24 m
B) 32√3 m
C) 24√3
D) 32 m
Show Answer
The correct answer is D .