Q # 1 The set which has no proper subset is……. a) Universal set b) {∅} c) {{∅}} d) ∅ Q # 2 How many elements are there in the set {{ a, b }} a) 2 b) 1 c) No elemet d) Both a & b Q # 3: Which of the following statement is wrong? a) { 1, 2} = { 2, 1} b) Φ⊆{{a}} c) { a }⊆{{a}} d) { a }∈{{a}} Q # 4: Number of elements of the power set of the set { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 } is a) 64 b) 128 c) 512 d) None Q # 5 If 2m = 4x and 2w = 8x then what is m in term of w? a) w-1 b) w+1 c) 2w-1 d) 2w+1 Q # 6: If α and β are not real cube roots of unity then α5 + β5 + α β = ? a) 1 b) -1 c) 0 d) 3 Q # 7: For any integer k, ωn = …… where n = 3k+ 12. a) 1 b) 0 c) 2 d) undefined Q # 8: ………… is a factor of 12x3 + 14x2 + x – 2 a) 4x+1 b) 3x-2 c) x+2 d) 3x+2 Q # 9 The function 3x2 + 3x – p has two real roots, the roots differ by 5 find p a) 9 b) 18 c) 27 d) 36 Q # 10 The equation 9x2 – 30x + q =0 has two equal roots then q = ? a) -25 b) 20 c) 25 d) 22 Q # 11: Determine the remainder if 2x3 – 7x2 + 4x – 1 ÷ x + 3. a) 220 b) 130 c) -130 d) None Q # 12: What is the equation whose roots are 1/2 and-1/6? a) 12x2 – 4x – 1= 0 b) 12x2 – 4x + 1= 0 c) 12x2 – 4x + 1= 0 d) None. Q # 13 Rational numbers were introduced by a) Arabs b) Greeks c) Egyptians d) Latin Q # 14 If A be n rowed square singular matrix then (adjA).A = A.( adjA) = ? a) Identity matrix b) Scalar matrix c) Null Matrix d) None Q # 15 If A is a square matrix of the order 2 and 2│A│= 4 then 3│2A│= ? a) 12 b) 64 c) 24 d) 32 Q # 16: if A is a matrix of the order 3 then A (Adj A)= ? a) │A│2 b) │A│.I3 c) │Adj A│ d) Adj(Adj A) Q # 17: If A,B and C are three matrices then (ABC)-1 = ? a) A-1 B-1 C-1 b) C-1 A-1 B-1 c) C-1 B-1 A-1 d) None. Q# 18 If[r1=x 12 & r2=√ 2 √ 72is a singular matrix then x = ? a) 2 b) 1 c) 4 d) 1/4 Q # 19: The perimeter of a square is numerically greater than its area by 4, what is the diagonal of the square? a) 2 b) √ 2 c) 4 d) 2 √ 2 Q # 20 Which of the following statements is true? a) A group has more than one identity elements b) Each group must be an abelian group. c) Each groupoid is a semigroup. d) Each element of a group has an inverse element. Q # 21 Conjugate of – ω is? a) -w b) w2 c) -w2 d) None Q # 22 If a + b = 2 and ab = 1 then a3 + b3 = ? a) 2 b) 3 c) 4 d) -2 Q # 23 The roots of x2 – 4x + 8 = 0 are a) (2,2) b) (3,4) c) (2,-2) d) Both a & b Q # 24: The equation ax2 + bx + c = 0 has both roots positive iff a) b > 0, c > 0 b) b < 0, c > 0 c) c < 0 d) b < 0, c < 0. Q # 25: Find solution set of │x – 3 │= 4 a) { 5, -3 } b) { 7, - 1 } c) {- 4, 2} d) { 4, 2}. |
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