VSSC Technical Assistant Mechanical Paper 2019

Vikram Sarabhai Space Centre Technical Assistant Mechanical Paper 2017 – Maths

1 In a simultaneous throw of two coins, the probability of getting at least one head is

(a) 1/2

(b) 1/3

(c) 2/3

(d) 3/4

2 The angle of elevation of a tree from a point on the level ground 15 m from its base is 45 degree. The height of the tree is

(a) 10 m

(b) 15 m

(c) 15/ root 2 m

(d) 15 x root 2 m

3 The perimeter of a right triangle is 24 m. Its hypotenouse is 10 m. The area of the triangle is

(a) 25 Sq. m

(b) Root 24 Sq. m

(c) 24 Sq.m

(d) 36 Sq. m

4 The diagonal of a cube is 10 root 3 m. Its volume is

(a) 1000 m cubic

(b) 100 m cubic

(c) 10 m cubic

(d) pie x D m cubic

5 A rotating fan completes 1200 revolutions every minute. If the tip of the blade is at a radius of 0.7 m, then the blade tip speed is (take pie=22/7)

(a) 44 m/s

(b) 22 m/s

(c) 66 m/s

(d) 88 m/s

6 Ravi is attending an interview at Kochi which is 400 km from his home. He plans to leave home at 07.00 AM and drive at 100 km/hr so that he reaches for the interveiw scheduled at 11.00 AM on time. Ravi drives at that speed of 100 km/hr for the first 200 km, but due to bad road he is forced to slow to 40 km/hr for 40 km. The least speed needed for the rest of the trip to arrive in time for the interview is

(a) 100 km/hr

(b) 180 km/hr

(c) 160 km/hr

(d) 140 km/hr

7 There are five numbers 2,3,4,5 and 6. The average value Navg and root mean square (rms) value Rrms of these numbers are

(a) Navg=4 & Rrms=4

(b) Navg=4 & Rrms=4.242

(c) Navg=5 & Rrms=4

(d) Navg=4 & Rrms=5

8 Cubic root of √0.000729 =

(a) Root 3

(b) 0.03

(c) 0.3

(d) 0.00314

9 Which of the following equation represents a function ?

(a) |x| + |y|=2

(b) |x + y| = 4

(c) |y| =  x2 + Sin x

(d) | x2 |  – x

10 The value of  4 2log93 is

(a) 4

(b) 2

(c) 3

(d) 1

 

 


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