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 31:
Solve for x: 3(x 1) ≤ 2 (x 3)
Options:
A) x ≤ -3
B) x ≥ -3
C) x ≤ 3
D) x ≥ 3
Show Answer
The correct answer is A .
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Question 32: A committee of six is to be formed by a state governor from nine state commissioners and three members of the state house of assembly. In how many ways can the members of the committee be chosen so as to include one member of the house of assembly
Options:
A) 378 ways
B) 462 ways
C) 840 ways
D) 924 ways
Show Answer
The correct answer is A .
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Question 33:
Find the equation of straight line passing through (2, 3) and perpendicular to the line
Options:
A) 3y = 5x - 2
B) y =
C) None of these
D) 3y = 2x + 5
Show Answer
The correct answer is D .
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Question 34: Find the locus of point equidistant from two straight lines y - 5 = 0 and y - 3 = 0
Options:
A) y - 2 = 0
B) y - 4 = 0
C) y - 1 = 0
D) y - 3 = 0
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The correct answer is B .
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Question 35: Evaluate
Options:
A) 1
B) zero
C) -1/2
D) -1
Show Answer
The correct answer is A .
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Question 36:
The table above gives the frequency distribution of marks obtained by a group of students in a test. If the total mark scored is 200, the value of y is
Options:
A) 11
B) 15
C) 9
D) 13
Show Answer
The correct answer is A .
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Question 37: Evaluate
Options:
A)
B)
C)
D)
Show Answer
The correct answer is D .
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Question 38: 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 39: A sector of a circle is bounded by two radii 7cm long and an arc length 6cm. Find the area of the sector.
Options:
A) 42cm2
B) 3cm2
C) 21cm2
D) 24cm2
E) 12cm2
Show Answer
The correct answer is C .
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Question 40: Find the sum to infinity of the series 1/2 , 1/6, 1/18, .....
Options:
A) 2/3
B) 1/3
C) 3/4
D) 1
Show Answer
The correct answer is C .