MATH Weekly TEST-1

Q# 1 Let A be the set of prime numbers greater than 40 and B is the set of positive real numbers A&#8851B = ? a) A b) {41, 43, 45, 47…….} c) { 23, 29, 31, 37 } d) R+. Q#2.Given that A and B are any two sets then symmetric difference of A and B a) {x│x∈(A–B)∨x∉(B–A)} b) {x│x∈(A–B)∨x∈(B–A c) {x│x∈A∧x∈B} d) {x│x∈Ax∧∉B} Q#3.The -------- of set A and set B is the set of elements which belong to A but do not belong to B a) Intersection b) Union c) Difference d) Complement Q# 4. In coordinate geometry, the universal set contains all the points in the a) Space b) Plane c) Universe d) None Q# 5 Members of the Power set of the set A = { a, b, c } are a) 4 b) 10 c) 8 d) 16 6) ( i104 + i17 + i30 )32 = ? a) 1 b) i c) -1 d) -i Q# 7 ( 1 + i )8 = ? a) 64 b) -128 c) 128i d) None Q# 8 Roots of the equation x2 + 16 = 0 are a) 4,-4 b) 4i,-4i c) 4i,4 d) None Q#9 (1+2i)/(3-4i) +2/5 a) (i+2)/5 b) (i-2)/5 c) (i+2)/5i d) (i+2i)/5 Q# 10 For what value of p and q the roots of the equation x2 + (p – 4) x = -q + 5 may vanish? a) p = 4, q = -5 b) p = -4, q =-5 c) p = 4, q = 5 d) p = - 4, q = 5 Q# 11 The roots of ax2 + bx + c = 0 are rational and unequal if b2- 4ac is a) > 0 and not a perfect square b) <0 br=""> c) =0 d) > 0 and a perfect square Q# 12 The equation whose roots are double the roots of x2 – qx + c = 0 is a) x2 – 2qx – 4c = 0 b) x2 – 2qx + 4c = 0 c) x2 + 4qx + 4c = 0 d) x2 – 4qx + 4c = 0. Q# 13 The equation ax2 + bx + c = 0 has one root negative and other positive iff a) b > 0, c > 0 b) b < 0, c > 0 c) c < 0 d) b < 0. Q# 14 The sum of complex cube roots of unity is a) 0 b) 4 c) -1 d) 1 Q# 15 the area of a circle is 484 sq-cm. the length of the diameter of the circle is a) 44/∏ b) 22/√∏ c) 44/√∏ d) 22/∏ Q# 16 the sum of two numbers is 32 and sum of their squares is 904, find greater number. a) 20 b) 30 c) 40 d) 45 Q# 17 (ω51+ ω110 )71 = ? a) ω b) -ω c) – ω2 d) 1- ω. Q# 18 If α, β are the roots of the equation x2 - px + 7 = 0, and α2 + β2 =22 find the value of “p” a) ∓ 2√ 2 b) ∓ 6 c) -6 d) None Q# 19 If x1, x2 are the roots of the equation 2x2 - kx – 3 = 0, and x1 + x2 = 1 then k= ? a) 3 b) 2 c) -1 d) -2 Q# 20 Six consecutive integers are given. The sum of the first three is 270 find the sum of the last three. a) 290 b) 300 c) 278 d) 279 Q# 21 The nature of the roots of the equation x2 + 7x – 8 = 0 is a) real, irrational and unequal b) real, rational and equal c) real, rational and unequal d) complex. Q# 22 If α and β are the complex cube rootsof unity, then (α4 + β4) +1/αβ = ? a) 0 b) 2 c) 1 d) 1/2 Q# 23 If (x – 1) is a factor of the equation x2 + ax – 4 = 0, then value of a is a) 2 b) 4 c) 10 d) 3 Q# 24 Find the value of m if one root of 2x2 - mx + 3 = 0 is double the other. a) ∓ 3 b) ∓ √ 3 c) ∓ 3 √ 3 d) None Q# 25 If the equation x2 + (7 +a) x + 7a + 1 = 0 has equal roots then the value of a is a) -3 b) 5 c) 10 d) None