1).Two set A and B are said to be disjoint if?

(A)\\(A\\cup B=\\Phi\\)
(B)\\(A\\cap B={}\\)
(C)\\(A\\cap B^{\'}=\\phi\\)
(D)\\(A\\times B={}\\)

Ans: \\(A\\cap B={}\\)

2).Find all values of satisfying the inequality \\(-11\\leq 4-3x\\leq 28\\)

(A)\\(-5\\leq x\\leq 8\\)
(B)\\(5\\leq x \\leq 8\\)
(C)\\(-8\\leq x\\leq 5\\)
(D)\\(-5\\leq x\\leq 8\\)

Ans: \\(-8\\leq x\\leq 5\\)

3).The science that deals with the collection of objects with common properties is called?

(A)Mathematics
(B)Set
(C)Series
(D)Number system

Ans: Set

4).Solve the inequality \\(3-4t\\leq 8+t\\)

(A)\\(t\\leq -1\\)
(B)\\(t\\geq -2\\)
(C)\\(t\\qeq -1\\)
(D)\\(t\\leq -2\\)

Ans: \\(t\\qeq -1\\)

5).Find the sum of the series \\(\\sum_{n=1}^{4}(2n+n^3)\\)

(A)120
(B)122
(C)112
(D)115

Ans: 120

6).If \\(z_1=3+2i\\) and \\(z_2=4+3i\\) and are complex numbers, find \\(z_1z_2\\)

(A)\\(-6+17i\\)
(B)\\(-6-17i\\)
(C)\\(6-17i\\)
(D)\\(6+17i\\)

Ans: \\(6+17i\\)

7).Given the sequence \\(a, ar, ar^2, ar^3,…\\), obtain the \\(n\\) term of the G.P

(A)\\(U_n=ar^{n-1}\\)
(B)\\(U_n=nar^{n-1}\\)
(C)\\(U_n=ar^n\\)
(D)\\(U_n=nar^n\\)

Ans: \\(U_n=ar^{n-1}\\)

8).Find the seventh term of an A.P whose first term is 102 and common difference is -3

(A)18
(B)120
(C)102
(D)84

Ans: 84

9).Given \\(z=3+2i\\), evaluate \\(|z|\\)

(A)\\(\\sqrt{13}\\)
(B)\\(\\sqrt{5}\\)
(C)\\(\\sqrt{6}\\)
(D)\\(\\sqrt{10}\\)

Ans: \\(\\sqrt{13}\\)

10).Which of the following set laws holds?

(A)\\(A\\cup B=B\\cap A\\)
(B)\\(A\\cup \\Phi=A\\)
(C)\\(A\\cup (B\\cap C)=(A\\cap B)\\cup (B\\cap A)\\)
(D)\\(A\\cap A=\\Phi\\)

Ans: \\(A\\cup \\Phi=A\\)


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1. Does the point (-4, 2) lie inside or outside or on the circle \\(x^2+y^2=25\\)?
ANS. Inside

2. If a complex number is defined as \\(z=a+bi\\), find it conjugate
ANS. \\(z=a-bi\\)

3. Evaluate \\(\\sum_{r=1}^4 r^2\\)
ANS. 30

4. Obtain the equation of the circle with centre at (-5,3) and radius 7
ANS. \\((x+5)^2+(y-3)^2=49\\)

5. Find the equation of the circle (2, 3) and radius 4
ANS. \\(y^2+x^2-4x+6y-3=0\\)

6. The elements of the set \\(A={2,3,5,7,11}\\) are made up of
ANS.  Prime number

7. Express complex number \\(z=x+yi\\) in polar form
ANS. \\(z=r(cos\\theta+isin\\theta)\\)

8. The set of all University in Nigeria is called
ANS. Universal set

9. Find the sum to infinity of the sequence \\(128, 64, 32,…\\)
ANS. 256

10. The solution to the equation \\(x^2+1=0\\) resulted to
ANS. Complex number

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Given \\(A=3+4i\\) and \\(B=2+5i\\), find AB
\\(AB=-14+23i\\)

A vector having unit magnitude is called
Unit vector

The second term of a GP is 4, the fifth term is 81. Find the seventh term
\\(\\frac{729}{4}\\)

In a group of 250 students, 170 are boys. If 120 students including all the girls wear glasses, determine the number of boys that wear glasses
40

\\(Z={…,-3,-2,-1,0,1,2,3,…}\\) denotes a set of __________
Integer number

Let set \\(A={x\\in Z:0\\leq x < 2}\\) list the member of A
\\(A={0,1}\\)

The notion \\(\\ni\\) mathematically denotes
such that

The seventh term of an A.P is 15 and the fourth term is 9. Find the first term and common difference
\\(a=3, d=2\\)

Factorize the equation \\(3x^2-11x-4=0\\)
\\((3x+1(x-4)\\)

Solve the inequality \\(\\frac{2z+3}{z+2}\\leq 1\\)
\\(-2