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# Quant Quiz on “Line and Triangle” for SSC CGL 2016

Dear Readers, as all of you are aware about the 30 days strategy to crack the SSC CGL Pre exam which we had discussed in our earlier post. So today is the day one and for this very day our topic for quant is Line and Triangle. We are providing you a quiz on  this topic of geometry.

1. The side BC of triangle ABC is produced to D. If ∠ACD=108° and ∠B=1/2∠A then ∠A is
(a) 36°
(b) 72°
(c) 108°
(d) 59°

5. In an obtuse-angled triangle ABC, ∠A is the obtuse angle and O is the orthocenter. If ∠BOC=54°, then ∠BAC is
(a) 108°
(b) 126°
(c) 136°
(d) 116°
5. (b);  ∠BAC=180°-∠BOC=180°-54°=126°
6. The external bisectors of ∠B and ∠C of ∆ABC meet at point P. If ∠BAC=80° then ∠BPC is
(a) 50°
(b) 40°
(c) 80°
(d) 100°
6. (a); ∠BPC=90°-A/2=90°-40°=50°
8. If G be the centroid of ∆ABC and the area of ∆GBD is 6 sq. cm, where D is the mid-point of side BC, then the area of  ∆ABC is
(a) 18 sq. cm
(b) 12 sq. cm
(c) 24 sq. cm
(d) 36 sq. cm
9. The three medians AD, BE and CF of ∆ABC intersect at point G. If the area of ∆ABC is 60 sq. cm., then the area of the quadrilateral BDGF is:
(a) 10 sq. cm
(b) 15 sq. cm
(c) 20 sq. cm
(d) 30 sq. cm
11. Internal bisectors of angles ∠B and ∠C of a triangle ABC meet at O. If ∠BAC=80°, then the value of ∠BOC is:
(a) 120°
(b) 140°
(c) 110°
(d) 130°
13. In a right-angled triangle, the product of two sides is equal to half of the square of the third side, i.e. hypotenuse. One of the acute angles must be
(a) 60°
(b) 30°
(c) 45°
(d) 15°
14. The area of the circumcircle of an equilateral triangle is 3π sq. cm. The perimeter of the triangle is
(a) 12 cm
(b) 9 cm
(c) 8cm
(d) 15cm