How many chords can be drawn through 21 points on a circle?

4. How many triangles can be formed by joining the vertices of a hexagon?

5. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels

can be formed?

6. If four dice are rolled, find the number of possible outcomes in which atleast one

die shows 2.

7. There are 18 guests at a dinner party. They have to sit 9 guests on either side of

a long table, three particular persons decide to sit on one particular side and two

others on the other side. In how many ways can the guests to be seated?

8. If a polygon has 44 diagonals, find the number of its sides.

9. In how many ways can a cricket team of 11 players be chosen out of a batch of 15

players?

(i) There is no restriction on the selection.

(ii) A particular player is always chosen.

(iii) A particular player is never chosen.

10. A Committee of 5 is to be formed out of 6 gents and 4 ladies. In how many ways this

can be done when

(i) atleast two ladies are included

(ii) atmost two

1. The principle of superposition is valid provided that The loading is linearly related to the stress or displacement "b) The loading does not significantly change the original geometry of the member c) The poisson's ratio vs 0.45 d) Young's Modulus is small a) 1, 2, and 3 (6) 1,2, and 4 c) 1 and 2 only d) All 2. The stress distributions at different cross sections are different. However, at locations far enough away from the support and the applied load, the stress distribution becomes uniform. This is du a. Principle of superposition b. Inelastic property Poisson's effect Saint Venant's Principle 3. When is a structural member considered to be statically indeterminate? If the member is stat indeterminate what type of condition do we use to obtain a solution? 4. Given the angle of rotation is small and the materials remain linear elastic, which statement incorrect for the torsional behavior of a long straight circular shaft. a) Section-shape remains unchanged b) Straight member remains straight c) Plane section remains plane d) End of member may warp- Water flowing past the equilateral triangular bar shown below and produces the pressure distributions indicated. Find the lift and drag on the bar and the corresponding lift and drag coefcients { based on frontal area}. Neglect the shear force. Negatively charged linear distribution with a linear charge density magnitude of: = Ax2 - Bx3 where A = 1 C/m3 and B = 0.125 C/m4 F P X do = 0.5 m L = 2.0 m What is the direction and magnitude of the electric field from the linear charge distribution at point P?5. Which statement below is incorrect? Inelastic torsion of a circular shaft leads to non-linear distribution of shear stress b) plane section remaining plane c) change of sectional shape d) warping at the end of member