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Previous Year Geometry Questions for SSC CGL/MTS/CPO Exams

Dear maths lovers, Let your practice begins in minuteness but ends in magnificence.It is impossible to study maths properly by just reading and listening. So, practise, practise & more practise. For that, we are providing here Quant Quiz of 15 Questions on Geometry in accordance with the syllabus of SSC CGL.We have also provided Study Notes and quizzes on all the topics.

Q1. If the orthocenter and the centroid of a triangle are the same, then the triangle is:
(a) Scalene
(b) Right angled
(c) Equilateral
(d) Obtuse-angled
Q4. ABC is an isosceles triangle with AB = AC. A circle through B touching AC at the middle point intersects AB at P. Then AP: AB is:
(a) 4: 1
(b) 2: 3
(c) 3: 5
(d) 1: 4
Q5. ABC is an isosceles triangle such that AB = AC and AD is the median to the base BC with ∠ABC = 35°. Then ∠BAD is
(a) 35°
(b) 55°
(c) 70°
(d) 110°
Q6. O and C are respectively the orthocentre and circumcentre 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. If the length of the sides of a triangle is in the ratio 4: 5: 6 and the inradius of the triangle is 3 cm, then the altitude of the triangle corresponding to the largest side as the base is:
(a) 7.5 cm
(b) 6 cm
(c) 10 cm
(d) 8 cm
Q8. ABC is a triangle. The bisectors of the internal angle ∠B and external angle ∠C intersect at D. If ∠BDC = 50°, then ∠A is
(a) 100°
(b) 90°
(c) 120°
(d) 60°

 

 

 
Q11. If the median drawn on the base of a triangle is half its base, the triangle will be:
(a) right-angled
(b) acute-angled
(c) obtuse-angled
(d) equilateral
Q12. In a right-angled triangle ABC, ∠ABC = 90°, AB = 5 cm and BC = 12 cm. The radius of the circum-circle of the triangle ABC is
(a) 7.5 cm
(b) 6 cm
(c) 6.5 cm
(d) 7 cm