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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