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 1721: A binary operation Δ is defined by aΔb = a + b + 1 for any numbers a and b. Find the inverse of the real number 7 under the operation Δ, if the identity element is -1
Options:
A) -7
B) -9
C) 5
D) 9
Show Answer
The correct answer is B .
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Question 1722: if P = {x : x is odd, } and Q is {y:y is prime, , find P Q.
Options:
A) {3,5,7,11,17,19}
B) {3,5,11,13,17,19}
C) {3,5,7,11,13,17,19}
D) {2,3,5,7,11,13,17,19}
Show Answer
The correct answer is C .
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Question 1723: A sector of angle 120° is cut out from a circle of radius 13.5cm. what area of the circle is remaining ? (π = )
Options:
A) 14.1cm2
B) 95.5cm2
C) 190.9cm2
D) 381.9cm2
E) 763.7cm2
Show Answer
The correct answer is D .
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Question 1724: Evaluate
Options:
A)
B)
C)
D)
Show Answer
The correct answer is D .
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Question 1725: Find the locus of a particle which moves in the first quadrant so that it is equidistant from the lines x = 0 and y = 0 (where k is a constant)
Options:
A) x + y = 0
B) x - y = 0
C) x + y + k = 0
D) x - y - k = 0
Show Answer
The correct answer is B .
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Question 1726: 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 1727:
Evaluate
Options:
A) -16
B) -20
C) 20
D) 10
Show Answer
The correct answer is C .
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Question 1728:
If x = {n2+1:n is a positive integer and 1 n 5}, y = {5n:n is a positive integer and 1 n 5}, find x y.
Options:
A) {5,10}
B) {5, 10, 15}
C) {2, 5, 10}
D) {5, 10, 15, 20}
Show Answer
The correct answer is A .
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Question 1729: Solve the simultaneous linear equations: 2x + 5y = 11, 7x + 4y = 2
Options:
A) x = -8, y = 1
B) x = -2, y = 4
C) x = , y =
D) x = 7, y = -9
Show Answer
The correct answer is C .
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Question 1730:
Find the area of a regular hexagon inscribed in a circle of radius 8cm
Options:
A) 16 cm2
B) 96 cm2
C) 192 cm2
D) 16 cm2
E) 33cm2
Show Answer
The correct answer is B .