SDSC Scientific Assistant Paper 2016

Satish Dhawan Space Centre SHAR Scientific Assistant (MPC) Paper 2016

In a class of 125 students 70 passed in Maths, 55 in Statistics and 30 in both. The probability that a student selected at random from the class has passed only in one subject
(a) 13/25
(b) 3/25
(c) 17/25
(d) 8/25

Cycle tyres are supplied in lots of 10 and there is a chance of 1 in 500 tyres to be defective. Using Poisson distribution the approximate number of lots containing no defective tyres in a consignment of 10000 lots.
(a) 9.802
(b) 98.02
(c) 9802
(d) 9800

A cumulative ring satisfying cancellation laws is called
(a) Field
(b) Skew field
(c) integral domain
(d) group

A cyclic permutation of length 2 is called
(a) coset
(b) Normal group
(c) Transposition
(d) kernel

A man of height 6 feet walks at uniform rate of 3 kmph away from the lamp post of 15 feet height. The rate at which the length of his shadow changes is
(a) 2 kmph, decreases
(b) 2 kmph, increases
(c) 4.5 kmph, increases
(d) 4.5 kmph, decreases

The angles of elevation of a tower from two points which are at distances h1 and h2 from the foot of the tower on the same side are complementary. The height of tower is
(a) Sq. root of h1/h2
(b) h1.h2
(c) Sq. root of h1.h2
(d) h1/h2

An arrow is shot into air, its range is 200 m and time of flight is 5 seconds. The horizontal component of velocity is ______, if g= 10 mtr per second square
(a) 12.5 m/s
(b) 25 m/s
(c) 31.25 m/s
(d) 40 m/s

A body of mass ‘m’ is raised through a height ‘h’ above surface of the Earth so that the increase in its PE is mgR/5, where R is the radius of Earth, then h=?
(a) R
(b) R/4
(c) R/5
(d) R/8

A diatomic gas does 80 J of work when compressed isobarically. The heat given to the gas during this process is
(a) 700 J
(b) 350 J
(c) 280 J
(d) 300 J

A satellite moving in a circular orbit around Earth. If gravitational pull suddenly disappears, then it
(a) Continues to move in same path in same speed
(b) Moves same speed tangential to original orbit
(c) Falls down with increasing speed
(d) Comes to rest and stays at the same height