AIEEE Entry Exams Preparation Mock Test Online

1. Let ƒ:R → R be a differentiable function satisfying ƒ(x+y/3) = 2+ƒ(x) + ƒ(y)/3 for all real x and y an ƒ′(2)=2.

The range of ƒ(|x|) is

2. The statement "current is defined as rate of flow of electrons through any cross-section"is

3. If ƒ′(x)= √2 x² - 1 and y=ƒ(x²), then dy/dx at x=1, is?

4. If A,B and C are the angles of a triangle, then the value of determinant

-1+cos B           cos C+cos B         cos B

cos C+cos A        -1+cos A              cos A       is

-1 +cos B             -1+cos A                 -1

5. A constant current of 2.8 A exists in a resistor. The rms current is

6. Mark the correct statement regarding adiabatic process

7. The circumference of the triangle whose vertices are (-2, -3), (-1, 0), (7, -6), is

8. If the sum of the roots of the quadratic equation ax²+bx+c=0 (a,b,c≠0) is equal to sum of squares of their reciprocals, then c/a, a/b, b/c are in

9. Statement I: The magnetic field produced by a current carrying solenoid is independent of its length and cross-sectional area

Statement II: The magnetic field inside the solenoid is uniform.

10. The equation of the tangent to the curve y=√9-2x² at the point where the ordinate and the abscissa are equal, is

11. A monkey is sitting on the top of a tree, having an apple in his hand. A person standing on the ground at a distance d from the foot of the tree,throws a stone towards the monkey directly aiming towards the apple, and at the same instant the monkey drops the apple, then

12. The length of the string of a simple pendulum is measured with a meter scale to be 92.0 cm the radius of the bob plus the hook is measured with the help of vernier caliper to be 2.17 cm. Mark out the correct statement (s).

13. The complex ion [Cu(NH₃)₄]²⁺ is

14. During the preparation of egg albumin sol (lyophilic sol), water taken should be cold because

15. From 4 children, 2 women and 4 men, 4 are selected. The probability that there are exactly 2 children among the selected, is