The locus of a point equidistant from two points p(6,2) and R(4,2) is a perpendicular bisector of PR passing through?
- A. (2,5)
- B. (5,2)
- C. (1,0)
- D. (0,1)
Find the capacity in liters of a cylindrical well of radius 1 meter and depth 14 meters
[ฯ = 22/7]
- A. 44,000 liters
- B. 4,400 liters
- C. 440 liters
- D. 44 liters
Find the angle subtended at the center of a circle by a chord which is equal in length to the radius of the circle.
- A. 30o
- B. 45o
- C. 60o
- D. 90o
Find the area of the figure above
[ฯ = 22/7]
- A. 12.5 cm2
- B. 75.0 cm2
- C. 78.5 cm2
- D. 84.8 cm2
Find the exterior angle of a 12 sided regular polygon
- A. 12o
- B. 24o
- C. 25o
- D. 30o
In the diagram above, PQ//RS. The size of the angle marked x is?
- A. 100o
- B. 80o
- C. 50o
- D. 30o
A binary operation on the real set of numbers excluding -1 is such that for all m, n โ R, mฮn = m+n+mn. Find the identity element of the operation.
- A. 1
- B. zero
- C. -1/2
- D. -1
A binary operation * is defined on the set of positive integers is such x*y = 2x-3y+2 for all positive integers x and y. The binary operation is?
- A. commutative and close on the set of positive integers
- B. neither commutative nor closed on the set of positive integers
- C. commutative but not closed on the set of positive integers
- D. not cummutative but closed on the set of positive integers
The fifth term of an A.P is 24 and the eleventh term is 96. Find the first term.
- A. 12
- B. 4
- C. -12
- D. -24
Solve the quadratic inequalities x\(^2\) – 5x + 6 โฅ 0
- A. x โค 2, x โฅ 3
- B. x โค 3, x โฅ 2
- C. x โค -2, x โฅ -3
- D. x โค-3, x โฅ 2
Find the range of values of x which satisfy the inequalities 4x – 7 \(\leq\) 3x and 3x – 4 \(\leq\) 4x
- A. -4 \(\leq\) x \(\leq\) 7
- B. -7 \(\leq\) x \(\leq\) 4
- C. x \(\geq\) -7
- D. -7 \(\leq\) x \(\leq\) 6
If p varies inversely as the square of q and p=8 when q=4, find q when p =32
- A. \(\pm\)16
- B. \(\pm\)8
- C. \(\pm\)4
- D. \(\pm\)2
If x – 3 is directly proportional to the square of y and x = 5 when y =2, find x when y = 6.
- A. 30
- B. 21
- C. 16
- D. 12
Factorize completely; (4x+3y)\(^2\) – (3x-2y)\(^2\)
- A. (x+5y)(7x+y)
- B. (x+5y)(7x-y)
- C. (x-5y)(7x+y)
- D. (x-5y)(7x-y)
If 2x\(^2\) – kx – 12 is divisible by x-4, Find the value of k.
- A. 4
- B. 5
- C. 6
- D. 7
Make Q the subject of formula when \(L=\frac{4}{3}M\sqrt{PQ}\)
- A. \(\frac{9L^2}{16M^2P}\)
- B. \(\frac{3L}{4M\sqrt{P}}\)
- C. \(\frac{\sqrt{3L}}{4MP}\)
- D. \(\frac{3L^2}{16M^2}P\)
A book seller sells Mathematics and English books. If 30 customers buy Mathematics books, 20 customers buy English books and 10 customers buy the two books. How many customers has he altogether?
- A. 30
- B. 40
- C. 50
- D. 60
If X = {n\(^2\) + 1:n = 0,2,3} and Y = {n+1:n=2,3,5}, find XโฉY.
- A. {1,3}
- B. {5,10}
- C. โ
- D. {4,6}
If \(\frac{1+\sqrt{2}}{1-\sqrt{2}}\) is expressed in the form of x+yโ2 find the values of x and y
- A. (-3, -2)
- B. (-2, 3)
- C. (3,2)
- D. (2,-3)
If log\(_{x^{\frac{1}{2}}}\)64 = 3, find the value of x
- A. 4
- B. 16
- C. 32
- D. 64