1. This question consists of 35 (Thirty five) multiple choice type sub-questions, each carrying one mark. The answer to the multiple choice questions MUST be written only in the boxes corresponding to the question by writing A, B, C, or D in the answer book. (35 x 1 = 35)

1.1 Limit of the function lim n ® ¥

(a)

(b) 0

(c) ¥

(d) 1

 

1.2 The function f(x) = e x is

(a) Even (b) Odd

(c) Neither even nor odd (d) None of the above

 

1.3 If A is any n x n matrix and k is a scalar, | kA | = a | A |, where a is

(a) kn (b) n k

(c) k n (d) k/n

 

1.4 The infinite series

 

(a) Converges (b) Diverges

(c) is unstable (d) Oscillates

 

1.5 Number of inflection points for the curve y = x + 2 x 4 is

(a) 3 (b) 1

(c) n (d) (n + 1) 2

 

1.6 Number of terms in the expansion of general determinant of order n is

(a) n 2 (b) n!

(c) n (d) (n + 1) 2

 

 

1.7 Two perpendicular axes x and y of a section are called principal axes when

(a) Moments of inertia about the axes are equal (I x =I y)

(b) Product moment of inertia (I xy) is zero

(c) Product moments of inertia (I x x I y) is zero

(d) Moment of inertia about one of the axes is greater than the other

 

1.8 In a section, shear centre is a point through which, if the resultant load passes, the section will not be subjected to any

(a) Bending (b) Tension

(c) Compression (d) Torsion

1.9 For a fixed beam with span L, having plastic moment capacity of M p, the ultimate

central concentrated load will be

(a)

(b)

(c)

(d)

 

1.10 In reinforced concrete, pedestal is defined as compression member, whose effective length does not exceed its dimension by

(a) 12 times (b) 3 times

(c) 16 times (d) 8 times

 

1.11 The minimum area of tension reinforcement in a beam shall be greater than

(a)

(b)

(c)

(d)

 

1.12 The characteristic strength of concrete is defined as that compressive strength below which not more than

(a) 10% of results fall (b) 5% of results fall

(c) 2% of results fall (d) None of the above

 

1.13 Maximum strain at the level of compression steel for a rectangular section having effective cover to compression steel as d' and neutral axis depth from compression face as x u is

(a)

(b)

(c)

(d)

 

1.14 A steel beam supporting loads from the floor slab as well as from wall is termed as

(a) Stringer beam (b) Lintel beam

(c) Spandrel beam (d) Header beam

 

1.15 The problem of lateral buckling can arise only in those steel beams, which have

(a) moment of inertial about the bending axis larger than the other

(b) moment of inertial about the bending axis smaller than the other

(c) fully supported compression flange

(d) None of the above

 

 

1.16 The values of liquid limit and plasticity index for soils having common geological origin in a restricted locality usually define

(a) a zone above A - line

(b) a straight line parallel to A - line

(c) a straight line perpendicular to A - line

(d) points may be anywhere in the plasticity chart