ANS C

2. Which constraint correctly represents the

situation "Mixture of x and y must be at least 8 units" ?

(a) x+y>8

(b) x+y<8

(c) x+y≤8

(d) x+y≥8

ANS D 

3. A die is thrown. If A is the event' 'the number appearing is a multiple of 3 and B is the event 'the number appearing is even', then A and B are;


 

ANS C
4. The feasible region for the constrains 𝑥≥0, 𝑥 + 𝑦≤1 and 𝑥 − 𝑦≤1, is situated in:
(A) I and II Quadrant.
(B) I Quadrant.
(C) II and IV Quadrant. 1
(D) IV Quadrant.
(E) I, II, III and IV Quadrant:
Choose the correct answer from the options given below:
(a) (A) only
(b) (B) and (D) only
(c) (B) and (C) only
(d) (E) only 		ANS A

5. 

Choose the correct answer from the options given below:
(a) (A)-(IV), (B)-(III), (C)-(II), (D)-(I)
(b) (A)-(l), (B)-(II), (C)-(III), (D)-(IV)
(c) (A)-(II), (B)-(III), (C)-(IV), (D)-(I).
(d) (A)-(IV), (B)-(III), (C)-(I), (D)-(II).

ANS A

6. Area of the region bounded by the curve 𝑥2 = 4𝑦, 𝑥 - axis and 𝑥 = 3 is:

(a) 9/2 sq units 

(b) 9/4 sq units

(c) 9/5 sq units

(d) 9/8 sq units

ANS B
7. If a matrix has 24 elements, which of the following cannot be the possible order of the matrix?
(a) 6×4
(b) 12×12
(c) 8×3
(d) 1×24		  

8. Any function 𝑓(𝑥) is an increasing function in [𝑎, 𝑏] if:

Choose the correct answer from the options given below:
(a) (A), (D) only
(b) (B), (D) only
(c) (B), (C) only
(d) (A), (C) only

ANS A

9. The values of 𝑎 for which, the function 𝑓(𝑥) = 𝑎𝑥 is increasing  on 𝑅 are given by:

ANS C

10. If |2 4 5 1 | = |2𝑥 4 6 𝑥 |, then 𝑥-is equal to: 

ANS C

ANS D

ANS A

Choose the correct answer from the options given below:
(a) (A)-(II), (B)-(I), (C)-(IV), (D)-(III)

(b) (A)-(I), (B)-(II), (C)-(IV), (D)-(II)

(c) (A)-(III), (B)-(IV), (C)-(I), (D)-(II)

(d) (A)-(III), (B)-(IV), (C)-(II), (D)-(I)

ANS C

(a) -5
(b) -10
(c) 10
(d) 0

ANS D

ANS B

ANS B

17. Which of the following statements is/are correct?

(A) |𝑥| is continuous everywhere in its domain.

(B) |𝑥| is differentiable everywhere in its domain.

(C) [𝑥] is continuous at every integral point.

(D) [𝑥] is discontinuous at every integral point.

Choose the correct answer from the options given below:
(a) (A), (C) only
(b) (B), (D) only
(c) (B), (C) only
(d) (A), (D) only

ANS D

ANS C

ANS A

20. Which of the following is the correct equation to find the area of the shaded region, with reference to the figure given below?

ANS C

21. Corner points of the foasiblo region for a linear programming problem are (0, 2), (3, 0), (6, 0), (6, 8) and (0, 5). Let 𝐹 = 4𝑥 + 6𝑦 be the objective function. Then the minimum value of 𝐹 occurs at:
(a) (0, 2) only
(b) (3, 0) only
(c) The mid point of the line segment joining the points (0, 2) and (3, 0) only
(d) Every point on the line segment joining the points (0, 2) and (3, 0)

ANS D

ANS C

ANS C

(a) 4
(b) 2
(c) 6
(d) 8

ANS C

ANS C

ANS C

27. Match List-I with List-II.

Choose the correct answer from the options given below:
(a) (A)-(I), (B)-(IV), (C)-(II), (D)-(III)
(b) (A)-(IV), (B)-(III), (C)-(I), (D)-(II)
(c) (A)-(III), (B)-(II), (C)-(IV), (D)-(I)
(d) (A)-(II), (B)-(I), (C)-(III), (D)-(IV)

ANS B

28. The direction cosines of the normal to the plane 𝑥 − 𝑦 + 𝑧 = 4 are:

ANS C

ANS C

30. The area lying between the curves 𝑦2 and is:  = 4𝑥 and 𝑦 = 2𝑥

(a) 2/3
(b) 1
(c) 1/3
(d) 1/4

ANS C

ANS B

ANS A

ANS A

Choose the correct answer from the options given below:
(a) (A)-(IV), (B)-(I), (C)-(II), (D)-(III)
(b) (A)-(II), (B)-(I), (C)-(IV), (D)-(II)
(c) (A)-(II), (E)-(IV), (C)-(III), (D)-(I)
(d) (A)-(I), (B)-(II), (C)-(II), (D)-(IV)

ANS C

ANS D

ANS C

ANS D

ANS D

ANS B

ANS C

(a) 4/9
(b) 1/2
(c) 2/9
(d) 5/9

ANS A

(a) one solution
(b) two solutions
(c) no feasible solution
(d) infinitely many solutiôn

ANS C

ANS C

ANS C

ANS B

ANS B

ANS B

ANS B

ANS B

ANS D