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 731: If x4 - kx3 + 10x2 + 1x - 3 is divisible by (x - 1), and if when it is divided by (x + 2) the remainder is 27, find the constants k and 1
Options:
A) k = -7, 1 = -15
B) k = -15, 1 = -7
C) k = , 1 = -7
D) k = , 1 = -17
Show Answer
The correct answer is A .
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Question 732: If nP3 - 6(nC4) = 0, find the value of n
Options:
A) 5
B) 6
C) 7
D) 8
Show Answer
The correct answer is C .
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Question 733: Convert 2710 to another number in base three
Options:
A) 10013
B) 10103
C) 11003
D) 10003
Show Answer
The correct answer is D .
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Question 734:
Find the capacity in liters of a cylindrical well of radius 1 meter and depth 14 meters
[π = 22/7]
Options:
A) 44,000 liters
B) 4,400 liters
C) 440 liters
D) 44 liters
Show Answer
The correct answer is A .
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Question 735: Find all real numbers x which satisfy the inequality (x + 1) - 1 > (x + 4)
Options:
A) x < 11
B) x < -1
C) x > 6
D) x > 11
Show Answer
The correct answer is D .
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Question 736: A man walks 100 m due West from a point X to Y, he then walks 100 m due North to a point Z. Find the bearing of X from Z.
Options:
A) 195o
B) 135o
C) 225o
D) 045o
Show Answer
The correct answer is B .
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Question 737:
In the figure above, |CD| is the base of the triangle CDE. Find the area of the figure to the nearest whole number.
Options:
A) 56 cm
B) 24 cm
C) 42 cm
D) 34 cm
Show Answer
The correct answer is D .
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Question 738:
In a class of 50 students, 40 students offered Physics and 30 offered Biology. How many offered both Physics and Biology?
Options:
A) 42
B) 20
C) 70
D) 54
Show Answer
The correct answer is B .
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Question 739: The radius r of a circular disc is increasing at the rate of 0.5cm/sec. At what rate is the area of the disc increasing when its radius is 6cm?
Options:
A) 36 π cm2/sec
B) 18 π cm2/sec
C) 6 π cm2/sec
D) 3 π cm2/sec
Show Answer
The correct answer is C .
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Question 740: A cylindrical tank has a capacity of 3080m3. What is the depth of the tank if the diameter of its base is 14m? Take pi = 22/7.
Options:
A) 23m
B) 25m
C) 20m
D) 22m
Show Answer
The correct answer is C .