Previous Year Questions of Advance Math For SSC CGL 2017

Q1. Bhuvnesh has drawn an angle of measure 45°27 when he was asked to draw an angle of 45°. The percentage error in his drawing is
(a) 0.5%
(b) 1.0%
(c) 1.5%
(d) 2.0%

Q2.In a regular polygon, the exterior and interior angles are in the ratio 1 : 4. The number of sides of the polygon is
(a) 5
(b) 10
(c) 3
(d) 8

Q3. The sides of a triangle are in the ratio 3 : 4 : 6. The triangle is: 
(a) acute – angled 
(b) right – angled 
(c) obtuse – angled 
(d) either acute – angled or right angled 

Q4. If the length of the three sides of a triangle are 6 cm, 8 cm and 10 cm, then the length of the median to its greatest side is 
(a) 8 cm 
(b) 6 cm
(c) 5 cm 
(d) 4.8 cm 

Q5. If the circumradius of an equilateral triangle be 10 cm, then the measure of its in-radius is
(a) 5 cm 
(b) 10 cm 
(c) 20 cm 
(d) 15 cm

Q6. O and C are respectively the orthocentre and the circumradius of an acute-angled triangle PQR. The points P and O are joined and produced to meet the side QR at S. If ∠PQS = 60° and ∠QCR = 130°, then ∠RPS = ? 
(a) 30°
(b) 35°
(c) 100°
(d) 60°

Q7. In ∆ABC, AD is the internal bisector of ∠A, meeting the side BC at D. If BD = 5 cm. BC = 7.5 cm, then AB : AC is 
(a) 2 : 1
(b) 1 : 2
(c) 4 : 5
(d) 3 : 5

Q8. I is the incentre of ∆ABC, ∠ABC = 60° and ∠ACB = 50°. Then ∠BIC is 
(a) 55°
(b) 125°
(c) 70°
(d) 65°

Q9.The in-radius of an equilateral triangle is of length 3 cm. Then the length of each of its medians is 
(a) 12 cm 
(b) 9/2 cm 
(c) 4 cm 
(d) 9 cm 

Q10. Two medians AD and BE of ∆ABC intersect of G at right angles. If AD = 9 cm and BE = 6 cm, then the length of BD (in cm) is 
(a) 10
(b) 6
(c) 5
(d) 3

Q11. The difference between the interior and exterior angle at a vertex of a regular polygon is 150°. The number of sides of the polygon is 
(a) 10
(b) 15
(c) 24
(d) 30

Q12. Each interior angle of a regular polygon is 144°. The number of sides of the polygon is
(a) 8
(b) 9
(c) 10
(d) 11

Q13. If the sum of the interior angles of a regular polygon be 1080°, the number of sides of the polygon is 
(a) 6
(b) 8
(c) 10
(d) 12

Q14. The number of sides in two regular polygons are in the ratio of 5 : 4. The difference between their Interior angles of the polygon is 6°. Then the number of sides are
(a) 15, 12
(b) 5, 4
(c) 10, 8
(d) 20, 16 

Q15. Each internal angle of regular polygon is two times its external angle. Then, the number of sides of the polygon is: 
(a) 8
(b) 6
(c) 5
(d) 7
SOLUTIONS


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