Previous Year Quant Questions for SSC CGL/MTS Exams

Dear Readers, Here We are providing a quant Quiz of 15 Math 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. ABC is a right – angled triangle with AB = 6 cm and BC = 8 cm. A circle with centre O has been inscribed inside ∆ABC. The radius of the circle is
(a) 1 cm
(b) 2 cm
(c) 3 cm
(d) 4 cm


Q2. The angles of a triangle are in the ratio 2 : 3 : 7. The measure of the smallest angle is
(a) 30°
(b) 60°
(c) 45°
(d) 90°

Q3. In the following figure, AB is the diameter of a circle whose centre is O. If ∠AOE = 150°, ∠DAO = 51° then the measure of ∠CBE is:

(a) 115°
(b) 110°
(c) 105°
(d) 120°

Q4. In a triangle ABC, BC is produced to D so that CD = AC. If ∠BAD = 111° and ∠ACB = 80°, then the measure of ∠ABC is:
(a) 31°
(b) 33°
(c) 35°
(d) 29°

Q5. If I be the incentre of ∆ABC and ∠B = 70° and ∠C = 50°, then the magnitude of ∠BIC is
(a) 130°
(b) 60°
(c) 120°
(d) 105°

Q6. If the three medians of a triangle are same, then the triangle is
(a) equilateral
(b) isosceles
(c) right – angled 
(d) obtuse – angle 

Q7. In the given figure, ∠ONY = 50° and ∠OMY = 15°. Then the value of the ∠MON is
 
(a) 30°
(b) 40°
(c) 20°
(d) 70°

Q8. ST is a tangent to the circle at P and QR is a diameter of the circle. If ∠RPT = 50°, then the value of ∠SPQ is
(a) 40°
(b) 60°
(c) 80°
(d) 100°

Q9. In ∆ABC, if AD ⊥ BC, then AB^2+CD^2 is equal
(a) 2BD^2
(b) BD^2+AC^2
(c) 2 AC^2
(d) None of these

Q10. Given that: ∆ABC ~ ∆PQR, if (area (∆PQR))/(area (∆ABC))=256/441 and PR = 12 cm, then AC is equal to?
(a) 12√2 cm
(b) 15.5 cm
(c) 16 cm
(d) 15.75 cm

Q11. The internal angle bisectors of the ∠B and ∠C of the ∆ABC intersect at O. If ∠A = 100°, then the measure of ∠BOC is:
(a) 110°
(b) 140°
(c) 130°
(d) 120°

Q12. O is the circumcentre of ∆ABC and ∠BAC = 85°,∠BCA = 75 then the measure of ∠OAC is:
(a) 125°
(b) 100°
(c) 130°
(d) 70°

Q13. The ratio of each interior angle to each exterior angle of a regular polygon is 3 : 1. The number of sides of the polygon is:
(a) 6
(b) 7
(c) 8
(d) 9

Q14. Two circles touch externally. The sum of their areas is 130π  sq cm and the distance between their centres is 14 cm. The radius of the smaller circle is:
(a) 2 cm
(b) 3 cm
(c) 4 cm
(d) 5 cm

Q15. The measures of two angles of a triangle is in the ratio 4 : 5. If the sum of these two measures is equal to the measure of the third angle. Find the smallest angle.
(a) 90°
(b) 50°
(c) 10°
(d) 40°

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