Dear Readers, Here We are providing a quant Quiz of 15 Discount questions in accordance with the syllabus of SSC CGL. Most of these Questions are Previous Year asked in SSC CGL. It will give you implicit idea of Math Question Paper of SSC CGL 2017
Q1. The angle of elevation of the top of a tower from a point A on the ground is 30°. On moving a distance of 20 metres towards the foot of the tower to a point B, the angle of elevation increases to 60°. The height of the tower is
(a) √3 m
(b) 5√3 m
(c) 10√3 m
(d) 20√3 m
Q2. The shadow of the tower becomes 60 meters longer when the altitude of the sun changes from 45° to 30°. Then the height of the tower is
(a) 20(√3 + 1) m
(b) 24(√3 + 1) m
(c) 30(√3 + 1) m
(d) 30(√3 – 1) m
Q3. The angle of elevation of the top of a tower from the point P and Q at distance of ‘a’ and ‘b’ respectively from the base of the tower and in the same straight line with it are complementary. The height of the tower is
(a) √ab
(b) a/b
(c) ab
(d) a^2 b^2
Q4. A vertical post 15 ft. high is broken at a certain height and its upper part, not completely separated meets the ground at an angle of 30°. Find the height at which the post is broken
(a) 10 ft.
(b) 5 ft.
(c) 15√3 ft.
(d) 5√3 ft.
Q5. From a point 20 m away from the foot of a tower, the angle of elevation of the top of the tower is 30°. The height of the tower is
(a) 10√3 m
(b) 20√3 m
(c) 10/√3 m
(d) 20/√3 m
Q6. The angle of elevation of sun changes from 30° to 45°, the length of the shadow of a pole decreases by 4 metres, the height of the pole is (Assume √3 = 1.732)
(a) 1.464 m
(b) 9.464 m
(c) 3.648 cm
(d) 5.464 m
Q7. A pole stands vertically inside a scalene triangular park ABC. If the angle of elevation of the top of the pole from each corner of the park is same, then in ∆ABC, the foot of the pole is at the
(a) centroid
(b) circumcentre
(c) incentre
(d) orthocentre
Q8. The length of the shadow of a vertical tower on level ground increases by 10 metres when the altitude of the sun changes from 45° to 30°. Then the height of the tower is
(a) 5√3 metre
(b) 10(√3 + 1) metre
(c) 5(√3 + 1) metre
(d) 10√3 metre
Q9. From the top of a tower of height 180 m the angles of depression of two objects on either sides of the tower are 30° and 45°. Then the distance between the objects are
(a) 180(3 + √3)
(b) 180( 3 – √3)
(c) 180(√3 – 1)
(d) 180(√3 + 1)
Q10. If a pole of 12 m height caste a shadow of 4√3 m long on the ground then the sun’s angle of elevation at that instant is
(a) 30°
(b) 60°
(c) 45°
(d) 90°
Q11. A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30°. The man walks some distance towards the tower and then his angle of elevation of the top of the tower is 60°. If the height of tower is 30 m, then the distance he moves is
(a) 22 m
(b) 22√3 m
(c) 20 m
(d) 20√3 m
Q12. The angle of elevation of ladder leaning against a house is 60° and the foot of the ladder is 6.5 metres from the house. The length of the ladder is
(a) 13/√3
(b) 13 meters
(c) 15 meters
(d) 3.25 meters
Q13. If the angle of elevation of a balloon from two consecutive kilometer-stones along a road are 30° and 60° respectively, then the height of the balloon above the ground will be
(a) √3/2 km
(b) 1/2 km
(c) 2/√3 km
(d) 3√3 km
Q14. The angle of elevation of the top of a tower from a point on the ground is 30° and moving 70 meters towards the tower it becomes 60°. The height of the tower is
(a) 10 meter
(b) 10/√3 meter
(c) 10√3 meter
(d) 35√3 meter
Q15. The angle of elevation of an aeroplane from a point on the ground is 60°. After 15 second flight, the elevation changes to 30°, If the aeroplane is flying at a height of 1500√3 m, find the speed of the plane
(a) 300 m/sec
(b) 200 m/sec
(c) 100 m/sec
(d) 150 m/sec
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