Multi-choice 12 Question 1. In a group of 75 persons, 20 take tea but not coffee and 30 take tea. How many take coffee but not tea ? Answers Option 1 45 Option 2 40 Option 3 38 Option 4 25 Feedback Correct option Wrong choice Incorrect option Wrong choice Solution Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Question 2. If X is the set of integers and f is defined on X by f (n) = n2, then the image of the set {-2, -1, 0, 1, 2} is Answers Option 1 {0, 1, 2} Option 2 {-2, 1, 0} Option 3 {0, 1, 4} Option 4 {-2, -1, 0, 1, 2} Feedback Wrong choice Incorrect option Correct option Wrong choice Solution Wrong (Feedback) Wrong (Feedback) Correct Option (Feedback) Wrong (Feedback) Question 3. The function f: R ⇒ R, given by f (x) = sin x is- Answers Option 1 many one and into Option 2 one-one and into Option 3 one-one and onto Option 4 many-one and onto Feedback Correct option Wrong choice Incorrect option Wrong choice Solution Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Question 4. The range of the function f(x) = a cos (bx + c) + d a > 0 is- Answers Option 1 [ – a – d, a – d ] Option 2 [ -a, a ] Option 3 [ -d -a, d + a] Option 4 [ d – a, d + a ] Feedback Wrong choice Incorrect option Wrong choice Correct option Solution Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Correct Option (Feedback) Question 5. If f(x) = x2 and g (x) = x3, x being real, then Answers Option 1 Neither f nor g is 1-1 Option 2 ƒ is not one-one and g is 1 – 1 Option 3 Both ƒ and g are one-one Option 4 f is one-one but g is not one-one Feedback Wrong choice Correct option Incorrect option Wrong choice Solution Wrong (Feedback) Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Question 6. If and S does not lie on extended, then Answers Option 1 Option 2 Option 3 Option 4 Feedback Correct option Wrong choice Incorrect option Wrong choice Solution Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Question 7. Consider the following expression with regard to a relation R in number xRy ↔ 3x + 4y = 5 ORI Correct code is – Answers Option 1 I and IV are correct Option 2 III and IV are correct Option 3 I and II are correct Option 4 II and III are correct Feedback Wrong choice Incorrect option Wrong choice Correct option Solution Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Correct Option (Feedback) Question 8. Let A = {a, b, c, d), which one of the following subsets of AXA is not a function on A ? Answers Option 1 {(d, a). (a, d). (b, a), (c, c)} Option 2 {(a,d), (b,a), (c, b), (d, c)} Option 3 {(a, d), (d, a), (a, b), (d, c)} Option 4 {(d, a), (a, b), (b, c), (c, d)} Feedback Wrong choice Incorrect option Correct option Wrong choice Solution Wrong (Feedback) Wrong (Feedback) Correct Option (Feedback) Wrong (Feedback) Question 9. . Which of the following functions is/are onto functions ? Φ : R ⇒ R defined as Φ : R ⇒ (1, -1) defined as f (x) = x2, x ∈ R f : R, defined by f(x) = 3x∀x∈R Correct code is: Answers Option 1 II and III Only Option 2 I and III Only Option 3 II and IV Only Option 4 I and IV Only Feedback Correct option Wrong choice Incorrect option Wrong choice Solution Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Question 10. Let f (x) = x2 sin for x 0, f(0) = 0, then Answers Option 1 f (x) is neither continuous nor differentiable at x = 1 Option 2 f (x) is neither continuous nor differentiable at x = 0 Option 3 f(x) is continuous but not differentiable at x =0 Option 4 f(x) is continuous and derivable at x = 0 Feedback Wrong choice Incorrect option Wrong choice Correct option Solution Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Correct Option (Feedback)
Multi-choice 12 Question 1. In a group of 75 persons, 20 take tea but not coffee and 30 take tea. How many take coffee but not tea ? Answers Option 1 45 Option 2 40 Option 3 38 Option 4 25 Feedback Correct option Wrong choice Incorrect option Wrong choice Solution Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Question 2. If X is the set of integers and f is defined on X by f (n) = n2, then the image of the set {-2, -1, 0, 1, 2} is Answers Option 1 {0, 1, 2} Option 2 {-2, 1, 0} Option 3 {0, 1, 4} Option 4 {-2, -1, 0, 1, 2} Feedback Wrong choice Incorrect option Correct option Wrong choice Solution Wrong (Feedback) Wrong (Feedback) Correct Option (Feedback) Wrong (Feedback) Question 3. The function f: R ⇒ R, given by f (x) = sin x is- Answers Option 1 many one and into Option 2 one-one and into Option 3 one-one and onto Option 4 many-one and onto Feedback Correct option Wrong choice Incorrect option Wrong choice Solution Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Question 4. The range of the function f(x) = a cos (bx + c) + d a > 0 is- Answers Option 1 [ – a – d, a – d ] Option 2 [ -a, a ] Option 3 [ -d -a, d + a] Option 4 [ d – a, d + a ] Feedback Wrong choice Incorrect option Wrong choice Correct option Solution Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Correct Option (Feedback) Question 5. If f(x) = x2 and g (x) = x3, x being real, then Answers Option 1 Neither f nor g is 1-1 Option 2 ƒ is not one-one and g is 1 – 1 Option 3 Both ƒ and g are one-one Option 4 f is one-one but g is not one-one Feedback Wrong choice Correct option Incorrect option Wrong choice Solution Wrong (Feedback) Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Question 6. If and S does not lie on extended, then Answers Option 1 Option 2 Option 3 Option 4 Feedback Correct option Wrong choice Incorrect option Wrong choice Solution Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Question 7. Consider the following expression with regard to a relation R in number xRy ↔ 3x + 4y = 5 ORI Correct code is – Answers Option 1 I and IV are correct Option 2 III and IV are correct Option 3 I and II are correct Option 4 II and III are correct Feedback Wrong choice Incorrect option Wrong choice Correct option Solution Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Correct Option (Feedback) Question 8. Let A = {a, b, c, d), which one of the following subsets of AXA is not a function on A ? Answers Option 1 {(d, a). (a, d). (b, a), (c, c)} Option 2 {(a,d), (b,a), (c, b), (d, c)} Option 3 {(a, d), (d, a), (a, b), (d, c)} Option 4 {(d, a), (a, b), (b, c), (c, d)} Feedback Wrong choice Incorrect option Correct option Wrong choice Solution Wrong (Feedback) Wrong (Feedback) Correct Option (Feedback) Wrong (Feedback) Question 9. . Which of the following functions is/are onto functions ? Φ : R ⇒ R defined as Φ : R ⇒ (1, -1) defined as f (x) = x2, x ∈ R f : R, defined by f(x) = 3x∀x∈R Correct code is: Answers Option 1 II and III Only Option 2 I and III Only Option 3 II and IV Only Option 4 I and IV Only Feedback Correct option Wrong choice Incorrect option Wrong choice Solution Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Question 10. Let f (x) = x2 sin for x 0, f(0) = 0, then Answers Option 1 f (x) is neither continuous nor differentiable at x = 1 Option 2 f (x) is neither continuous nor differentiable at x = 0 Option 3 f(x) is continuous but not differentiable at x =0 Option 4 f(x) is continuous and derivable at x = 0 Feedback Wrong choice Incorrect option Wrong choice Correct option Solution Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Correct Option (Feedback)
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